The Data Scientist role at Nucs AI is a high-impact position that sits at the intersection of advanced analytics, engineering, and product strategy. As the company continues to scale its AI-driven solutions, you will be responsible for turning complex datasets into actionable insights that directly influence product roadmaps and technical architecture. You will work closely with cross-functional teams to solve ambiguous problems, ranging from optimizing core algorithms to designing robust experimentation frameworks.
This role is critical to the mission of Nucs AI because it bridges the gap between raw data and business intelligence. You will not only be expected to perform deep-dive analyses but also to build the pipelines and infrastructure necessary to support scalable data products. It is a perfect environment for a candidate who thrives on technical rigor and wants to see their models and insights manifest in real-time user experiences.
Recruiter Screen
reportedWhoever runs this call is usually not a practitioner. They take notes, and a hiring manager skims those notes later, so the real question is whether your work survives being written down by someone outside the field. Test every project sentence against that: could a non-specialist repeat it correctly without knowing what a propensity score is? Carry a plain-language version of each project and one reason you want this particular role that you could not copy onto another application. Vagueness at this stage reads as inexperience, even when the underlying work was genuinely deep.
What to demonstrate
- Whether a non-specialist can restate your projects accurately, since their paraphrase is what reaches the hiring manager
- Whether your reason for wanting the role points at the work itself rather than the company's reputation
- Whether your language signals the level being screened for: what you decided yourself versus what you were handed
How to prepare
- Write a two-sentence, jargon-free version of each major project: the question nobody could answer, and the decision your work changed. Read it to someone outside data and have them repeat it back
- Point your 'why this role' answer at something concrete in the job description or the product surface you would be working on, and keep it to two sentences
- Have two questions ready about measurement: which metric the team is held to, and who acts on an analysis once it lands
Technical Assessments
reportedA handful of shapes account for most of what gets asked in this format: a ranking or deduplication inside groups, a running or rolling total, a period-over-period comparison, and a cohort tracked forward over time. Recognising the shape quickly is most of the speed here; deriving it from scratch while a clock runs is where the time goes. Know that a window function keeps every row while a GROUP BY collapses them, and know which one the question needs. If the exercise is in Python instead of SQL, the same shapes arrive as groupby with transform, shift and merge, and the same grain mistakes are available.
What to demonstrate
- Whether you reach the right construct without a detour, such as ROW_NUMBER over a partition to deduplicate instead of a self-join against a MAX subquery
- Whether you know what your window frame actually is, since adding ORDER BY inside OVER changes the default frame and silently changes a running total
- Whether the thing runs. A near-miss that throws an error scores below a plainer query that returns the right rows.
How to prepare
- Write each of the four shapes once from memory against a small schema and keep the working version somewhere you will reread it: dedupe with ROW_NUMBER, a running total, a month-over-month change with LAG, and a retention table
- Compute one running total twice on data with tied timestamps, once on the default frame and once with ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW, and look at where the two disagree
- If Python is on the table, rebuild the dedupe and the running total with groupby and cumsum, then assert the two implementations return identical rows
Onsite/Virtual Loop
reportedA loop is not scored one interview at a time. The people you meet compare notes afterwards, usually in a meeting you are not in, and the outcome turns on what each of them can say about you when asked. That rewards something other than survival: every room needs one specific thing worth repeating, and none of them can contradict another. The common way to lose is to tell the same project four times with different numbers in it, or to be uniformly fine in a way that leaves nobody with anything to argue for.
What to demonstrate
- Whether your account of a project survives being told twice, with the same scale, the same metric definition and the same numbers each time
- Whether each interviewer leaves with one concrete claim they could make on your behalf later, rather than an absence of complaints
- Whether a question you already answered in an earlier room gets the same answer at the same depth, without visible impatience
How to prepare
- Write a one-page fact sheet for your two or three main projects that fixes the numbers you will quote: rows of data, the metric as a single sentence, the effect you measured and how long the work took. Say them aloud from the sheet until they come out identical every time
- For each kind of room you expect, decide the one sentence you want that interviewer repeating in a debrief, then check during the mock that you said it outright instead of implying it
- Rehearse answering the same project question twice in one sitting, the second time as though you had not just answered it, because the thing that needs fixing is the flatness that creeps into a repeated story
PracHub editorial advice for the preparation topics above.
Treating raw request or usage volume as engagement
Most traffic in this domain is emitted by machines. Continuous-integration pipelines, scheduled batch jobs, synthetic monitors, backfills and client retries can all grow by an order of magnitude from one configuration change made by one engineer, and none of it represents a new decision to use the product. The inversion is what makes it dangerous: when the platform degrades, clients retry, so error-driven retry volume rises at the exact moment the customer is most likely to leave, and an engagement dashboard built on raw counts shows growth immediately before a churn. Filter on traffic_class and on successful status before anything else, and keep failed-request volume as its own separate series.
Randomising an experiment at the user level when users share an account
Two problems fire at once. Colleagues in one workspace see each other's work and talk to each other, so a treated user changes the behaviour of a control user in the same account, which violates the no-interference assumption and biases the estimate toward zero. Separately, outcomes within an account are strongly correlated, so the effective sample size is roughly n / (1 + (m - 1) * rho) for m users per account and intra-class correlation rho, not n. With rho around 0.3 and twenty users per account that is a design effect near 6.7, meaning a user-level confidence interval is about two and a half times narrower than it should be and results cross significance thresholds on noise alone. Randomise the account and cluster the standard errors.
Stopping an experiment the moment it crosses significance
Fix the sample size or duration before launch, or use a method built for continuous monitoring such as a sequential test, always-valid confidence intervals, or group-sequential boundaries. Repeatedly checking a fixed-horizon p-value against 0.05 pushes the real false-positive rate well above 5 percent.
Sizing estimates built on unnamed, unrevisable assumptions
Write each assumption as a named number you can change, then show the arithmetic so the interviewer can challenge one input instead of the whole answer. Finish by saying which assumption the result is most sensitive to, which matters more than the point estimate.
Choose a category, try a prompt, then open its approach, worked solution or follow-up when you need it.
Quantify billable volume created by retries after server errors
From fct_api_request (request_id, account_id, endpoint, idempotency_key, is_retry, http_status, request_at, billable_units), measure how much billable volume in a 28-day window is retry traffic that followed a 5xx. Group requests into attempt chains by (account_id, endpoint, idempotency_key) ordered by request_at; a request is error-driven if any earlier attempt in its chain returned 5xx. Requests with a null idempotency_key cannot be chained, so report them as their own class rather than assuming each is unique. Return billable_units split into first-attempt, error-driven retry, other retry and unchainable, per account.
Approach
- Split the population before measuring anything. A null idempotency_key is not a chain of one, it is an unknown; report its share of billable_units first, because if it is 40% of volume then the headline estimate is a lower bound and the deliverable has to say so.
- Within chainable rows, sort by (account_id, endpoint, idempotency_key, request_at) and derive 'any earlier attempt failed' with arithmetic rather than a per-group lambda: with is5 = (http_status >= 500), the per-chain cumsum minus the row's own value is positive exactly when an earlier attempt in that chain returned 5xx. A groupby-apply gives the same answer and is unusable at five million rows.
- Do not take is_retry as the definition. It is set by the client whenever an idempotency_key is resent, which covers retries after client-side timeouts and after 4xx as well; compute the flag yourself and then cross-tabulate it against is_retry, because the disagreement is a finding in its own right.
- Aggregate billable_units by (account_id, class) and assert the classes sum to each account's total. The spine sets billable_units to zero on 5xx responses, so the failed attempt contributes nothing and the whole inflation sits in the successful retry that follows it.
- Report the per-account share and look at its distribution, not the fleet total. One account in a retry storm dominates any blended figure, which is the same failure that makes a fleet-wide error rate useless.
Worked solution 40 min
- unchainable = df.idempotency_key.isna(); report df.loc[unchainable].groupby('account_id').billable_units.sum() before proceeding.
- keys = ['account_id','endpoint','idempotency_key']; c = df[~unchainable].sort_values(keys + ['request_at'], kind='mergesort'); c['is5'] = (c.http_status >= 500).astype(int)
- c['attempt_no'] = c.groupby(keys, sort=False).cumcount(); c['prior_5xx'] = (c.groupby(keys, sort=False).is5.cumsum() - c.is5) > 0
- c['cls'] = np.where(c.attempt_no == 0, 'first_attempt', np.where(c.prior_5xx, 'error_driven_retry', 'other_retry')); out = pd.concat([c, df[unchainable].assign(cls='unchainable')]).groupby(['account_id','cls']).billable_units.sum().unstack(fill_value=0)
Follow-up
- An account's error-driven share is 22%. Is that the platform's fault or the client's, and what do you look at next?
- How would you define a consumption-based north-star metric that an outage cannot inflate?
- Chains straddle the 28-day boundary. How large is that bias and in which direction?
Permutation-test a consumption experiment randomised at account level
An experiment randomised 900 accounts into two arms. You have one row per account: account_id, arm, consumption_28d (billable units after launch) and consumption_pre (the 28 days before). Consumption is heavy-tailed and the largest account is several percent of the total. Write a permutation test from scratch: winsorise at the pooled 99th percentile as a pre-registered rule, use the difference in arm means of the winsorised outcome as the statistic, and obtain a two-sided p-value from 20,000 relabellings of the account-level arm vector. Report the observed effect, the p-value, and the same test on a CUPED-adjusted outcome.
Approach
- Be precise about what the permutation test needs. Under the sharp null of no effect for any account, the outcomes are exchangeable across arm labels, and the test is valid for ANY statistic T(outcomes, labels) provided the identical function is applied to the observed labels and to all 20,000 relabellings. The pooled 99th percentile is a function of the outcome vector alone, so recomputing it inside the loop returns the same number 20,000 times: that is wasted CPU, not a bias, and hoisting it out is an optimisation rather than a correctness fix. Say plainly that capping at all changes the estimand from mean consumption to mean capped consumption; it is not a neutral cleaning step.
- The mistake that does invalidate the test is an asymmetry between the observed statistic and the permuted ones, and the easiest way to create it is to derive the cleaning rule from the observed arm labels and then freeze it — winsorise each arm at its own observed 99th percentile, hold those two caps fixed, and permute. The observed value is then computed with caps matched to its own partition while every relabelling is scored with caps belonging to a different one, so the null distribution no longer answers the question the p-value claims to answer. A per-arm cap recomputed consistently inside every permutation is a valid test, but it estimates a contrast whose two sides are capped at different thresholds, so prefer the pooled cap on estimand grounds and pre-register it.
- Permute the account-level arm vector, because the account is the randomisation unit. Relabelling anything finer — users, workspaces, requests — generates a null distribution narrower than the design actually supports and returns p-values that are anti-conservative.
- Vectorise the null: tile the treatment indicator into a (B, n) matrix and permute along axis 1 with rng.permuted(..., out=...). The statistic is a difference of means, so the treated sum alone determines it and the whole null is one matrix-vector product. Use the two-sided p-value (1 + count(|stat_perm| >= |stat_obs|)) / (B + 1); the plus-one on each side is not cosmetic, it keeps the p-value away from exactly zero and keeps the test valid at finite B.
- For CUPED, fit theta = cov(y, x) / var(x) on the pooled data and use that same theta for the observed statistic and every relabelling. Pooled theta, like the pooled cap, carries no label information, so where in the loop you compute it is again only a performance question; fitting theta within arms is what goes wrong, because the adjusted outcome then depends on the labels and an observed-label fit frozen across all 20,000 relabellings breaks the match between observed and permuted statistics. x must be measured entirely before launch, which consumption_pre is. Expected variance reduction is about 1 - corr(y, x)^2; measure the achieved reduction from the two null distributions rather than asserting it.
Follow-up
- The p-value is 0.04 with the cap and 0.31 without it. What do you report, and what did you pre-register?
- Colleagues in a shared workspace can see the treated behaviour. How does that change the design and the estimate?
- How many accounts would you need to detect a 5% lift given this outcome's distribution?
Implement seven-day activation rate from its written definition
Given dim_account (account_id, created_at, is_internal, is_current) and fct_api_request (account_id, request_at, http_status, api_key_id, traffic_class), implement activation_rate(accounts, requests, week_start). Definition: the numerator is accounts whose first request with http_status < 400, api_key_id not null and traffic_class != 'synthetic_monitor' occurs no later than 168 hours after created_at; the denominator is non-internal accounts created during the ISO week starting week_start. All timestamps are tz-aware UTC. Return the rate and both counts, and refuse to report a week until every account in it has had its full 168 hours.
Approach
- Reduce dim_account to one row per account_id before joining anything. It is a type 2 dimension, so several versions of the same account exist; joining the versioned table to requests multiplies the denominator by the number of plan changes an account happened to make.
- Build the denominator first and freeze it: is_internal == False and week_start <= created_at < week_start + 7 days. Everything after this is a filter on the numerator only, because an account that never sent a request must still sit in the bottom of the fraction.
- Filter requests to qualifying rows and only then take groupby('account_id').request_at.min(). The first qualifying request is not the same object as the global first request filtered afterwards, and the two answers differ for every account whose first call was a 4xx.
- Left-join the first qualifying timestamp onto the cohort and test (first_ok - created_at) <= Timedelta(hours=168). NaT propagates to False in that comparison, which is the behaviour you want, but assert it rather than assume it.
- Guard reportability explicitly: if week_start + 7 days + 168 hours exceeds the maximum request_at in the data, the week is censored and will read as a drop, so return None or raise rather than emit a number.
Follow-up
- Median time-to-first-call is more informative. What breaks if you take the median over activated accounts only, and what estimator fixes it?
- How would you decide whether 168 hours is the right window rather than 72 or 336?
- An account signs up, does nothing for 20 days, then integrates heavily. Where does it land in this metric, and is that what you want?
How do you use SQL window functions to calculate rolling averages or i…
How do you use SQL window functions to calculate rolling averages or identify session-based patterns?
Approach
- State the window function and its partition and ordering out loud before writing it.
- Say which table is the grain you start from, and join outward from it.
- Handle the rows that do not match: a LEFT JOIN with a NULL check is usually the question.
Follow-up
- How would you verify this result without re-running the same query?
- How does the query change if the join becomes one-to-many?
Write a query to identify the top three performing cohorts over the la…
Write a query to identify the top three performing cohorts over the last quarter.
Approach
- Handle the rows that do not match: a LEFT JOIN with a NULL check is usually the question.
- Check whether any join is one-to-many before aggregating, or the sums inflate.
- Compute rates by summing numerator and denominator separately, never by averaging rates.
Follow-up
- How does the query change if the join becomes one-to-many?
- What breaks if events arrive late or out of order?
Consecutive qualifying weeks before renewal, as a ranked worklist
fct_api_request carries account_id, workspace_id, environment, request_at (timestamptz), http_status and traffic_class. fct_subscription_period carries account_id, term_end_date, auto_renew and is_current. A qualifying week for an account is an ISO week with at least 50 successful production requests in traffic_class ('interactive','batch'). Over the last 52 whole ISO weeks, and for accounts whose current term ends within 90 days, return the current qualifying-week streak length, the week it began, and the longest earlier streak. An account whose streak has broken must appear with a current length of zero.
Approach
- Bucket weeks as date_trunc('week', request_at AT TIME ZONE 'UTC'). request_at is a timestamptz, so an unpinned date_trunc silently uses the session time zone, weeks start at a local midnight, and Monday-morning traffic lands in the previous week for part of the fleet. Pinning UTC also makes the seven-day arithmetic below exact across daylight-saving transitions.
- Apply the exclusions before counting: environment = 'production', http_status < 400, traffic_class IN ('interactive','batch'). Then apply the volume floor and drop the current partial week, which can never meet a floor calibrated on whole weeks.
- Build islands with the row-number anchor: ROW_NUMBER() OVER (PARTITION BY account_id ORDER BY week_start) as rn, then week_start - rn * interval '7 days' is constant inside a run of consecutive weeks. Group by that anchor to get each streak's start, end and length.
- The current streak is the island whose end equals the last whole week; if none does, the account's current streak is zero and that is the interesting case. The longest earlier streak is the maximum length among the remaining islands.
- Join the renewal filter from the current subscription row and LEFT JOIN the streak summary so an account with no qualifying week at all still appears, rather than vanishing from the risk list precisely because it went quiet.
- Finish with an operating point. The list is worked by a team with finite capacity, so order it and cut it at that capacity, and say what happens to the accounts below the line.
Worked solution 40 min
- Build weekly_qualified: filter the fact on environment, status and traffic_class, group by account_id and date_trunc('week', request_at AT TIME ZONE 'UTC'), keep groups with count(*) >= 50, and exclude the in-progress week and anything older than 52 whole weeks.
- Add rn = ROW_NUMBER() OVER (PARTITION BY account_id ORDER BY week_start) and anchor = week_start - rn * interval '7 days'.
- Group by (account_id, anchor) to get streak_start = min(week_start), streak_end = max(week_start), streak_len = count(*).
- Per account, take current_len as the streak_len where streak_end = the last whole week else 0, current_start from the same island, and longest_prior as max(streak_len) over the other islands.
- Join to fct_subscription_period on is_current with term_end_date <= current_date + 90, LEFT JOIN the streak summary, and order by current_len ascending then term_end_date ascending.
Follow-up
- The floor of 50 requests was picked for this exercise. How would you calibrate it from data, and what would force a recalibration?
- A regional holiday week drops several accounts below the floor at once. How do you keep that out of the risk list?
- How would you evaluate whether contacting these accounts actually changed renewal, given that coverage is assigned deliberately?
How do you balance long-term user retention with short-term feature ad…
How do you balance long-term user retention with short-term feature adoption?
Approach
- State what result would change your recommendation, so the answer is falsifiable.
- Name one primary metric, then the guardrail that stops it being gamed.
- Decompose the metric into the rates that drive it, and say which one you would check first.
Follow-up
- Which segment would you cut first, and what would that rule out?
- How would you detect that the metric is being gamed rather than genuinely improving?
A core engagement metric has dropped by 10% overnight; what steps do y…
A core engagement metric has dropped by 10% overnight; what steps do you take to diagnose the cause?
Approach
- State what result would change your recommendation, so the answer is falsifiable.
- Fix the population and the time window before naming any metric.
- Decompose the metric into the rates that drive it, and say which one you would check first.
Follow-up
- How would you detect that the metric is being gamed rather than genuinely improving?
- What would you do if the primary metric and the guardrail moved in opposite directions?
How would you design a metric to measure the success of a new AI featu…
How would you design a metric to measure the success of a new AI feature?
Approach
- Name one primary metric, then the guardrail that stops it being gamed.
- Decompose the metric into the rates that drive it, and say which one you would check first.
- Restate the decision this analysis has to support, and who acts on the answer.
Follow-up
- How would you detect that the metric is being gamed rather than genuinely improving?
- What would you do if the primary metric and the guardrail moved in opposite directions?
If you were to launch a new recommendation engine, what guardrail metr…
If you were to launch a new recommendation engine, what guardrail metrics would you track?
Approach
- Name one primary metric, then the guardrail that stops it being gamed.
- State what result would change your recommendation, so the answer is falsifiable.
- Fix the population and the time window before naming any metric.
Follow-up
- Which segment would you cut first, and what would that rule out?
- What would you do if the primary metric and the guardrail moved in opposite directions?
What are the most common experimentation pitfalls that lead to false p…
What are the most common experimentation pitfalls that lead to false positives?
Approach
- Say whether units interfere with each other, and switch design if they do.
- Decide the analysis before seeing data, including how long it runs and when you look.
- Name the randomisation unit first; it decides the variance and what the test can detect.
Follow-up
- How would you handle interference between treated and control units?
- What would you conclude if the result is positive but the test is underpowered?
How do you determine the appropriate sample size for an A/B test?
How do you determine the appropriate sample size for an A/B test?
Approach
- Name the guardrails that would stop a launch even on a positive primary result.
- Name the randomisation unit first; it decides the variance and what the test can detect.
- Say whether units interfere with each other, and switch design if they do.
Follow-up
- What would you do if you could not randomise at all?
- What would you conclude if the result is positive but the test is underpowered?
Stop metering retried requests: design the metric that decides it
The platform meters accepted requests. A proposal carries three clauses: stop metering fct_api_request rows where is_retry = true, stop metering rows with a 4xx status, and stop metering rows with http_status >= 500. Its author has attached one figure to all three together, roughly 4% of requests_thousands volume. You have fct_api_request (account_id, is_retry, idempotency_key, http_status, traffic_class, billable_units, request_at) and fct_usage_daily (billable_quantity, net_amount_cents, cogs_cents). Size each clause separately before arguing about any of them, then define the primary metric, the guardrail that genuinely conflicts with it, and how you resolve that conflict for a decision that has to be made this quarter. Revenue falls this quarter with certainty; any benefit appears at renewals up to twelve months out.
Approach
- Size the three clauses before accepting the headline 4%, because one of them is a no-op. billable_units is defined as zero for requests that failed with a 5xx, so the third clause removes no metered volume at all. Confirm that in the data rather than trusting the column comment: if sum(billable_units) over rows with http_status >= 500 is not zero, the metering pipeline contradicts its own definition and that is a billing defect to file before any pricing conversation happens. The two live clauses are 4xx failures, which are metered in full, and retries that did not themselves end in a 5xx.
- Size the two live clauses as a union, not a sum. A retry can return 4xx, so the clauses overlap and adding their volumes counts that intersection twice. Partition the trailing 90 days into four mutually exclusive buckets instead: clean (is_retry = false, http_status < 400), non-retry 4xx, retry with http_status < 500, and http_status >= 500. Report the removable share per account as a distribution; if the mass sits in a handful of accounts this is a commercial conversation with those accounts rather than a platform-wide pricing change.
- State the conflict rather than dissolving it. The primary metric, net metered revenue per paying account, and the integrity guardrail, the share of metered volume that is retried or failed traffic, move in opposite directions by construction. No redefinition removes that. The job is to price the trade-off, not to make it disappear.
- Show the perverse coupling with data, and be exact about its mechanism. Because a 5xx already carries zero billable_units, the platform is not paid directly for its own failures; it is paid for the retries and the client-side 4xx traffic those failures provoke, which is one step removed and therefore easy to miss. Cross-tab each account's trailing 28-day 5xx rate against its metered volume in the same window. If metered volume rises with error rate, that indirect coupling is the actual argument for the change.
- Resolve on expected value with the uncertainty stated. The revenue loss is computable and near-certain; the renewal benefit is not, so invert it and state the break-even: how many basis points of gross logo retention on the renewal-eligible base would offset the loss. That converts an argument about values into an argument about one number. Then propose the measurement that would settle it instead of claiming a readout you do not have: stage the rollout by renewal cohort so accounts whose terms end soonest are treated first, read out on gross logo retention on the renewal-eligible base, and say honestly whether the number of annual renewals in the window can support that estimate at all.
Worked solution 30 min
- Test the third clause first: over the trailing 90 days compute count(*) and sum(billable_units) from fct_api_request where http_status >= 500. The sum must be zero, because billable_units is defined as zero for 5xx failures. If it is zero the clause removes nothing and drops out of the analysis; if it is not, stop and raise a metering defect, because every volume figure downstream of that column is then suspect.
- Compute trailing-90-day metered volume per account in the four mutually exclusive buckets: clean, non-retry 4xx, retry with http_status < 500, and http_status >= 500. Roll the total up to the requests_thousands SKU and reconcile it against fct_usage_daily billable_quantity for the same window.
- Convert the two removable buckets to money using each account's realised rate, net_amount_cents / billable_quantity from fct_usage_daily, because list rate overstates revenue for every discounted account.
- Annualise the revenue at risk and divide it by the ARR of the renewal-eligible base to express the break-even as an improvement in gross logo retention, in basis points.
- Cross-tab account 28-day 5xx rate deciles against metered volume per account to establish whether the error-to-revenue coupling, which can only run through retries and 4xx rather than through the failed requests themselves, is real or a story.
Follow-up
- Suppose the two live clauses turn out to remove 2.6% of consumption revenue. How much improvement in gross logo retention on an annual-contract base pays that back, and over what horizon does the payback land?
- A retry sent without an idempotency_key cannot be flagged as a retry. Which direction does that bias your estimate of the removable volume, and how can you bound it?
Weekly active organisations fell nine percent over one week
A dashboard reports the weekly active organisation ratio on a trailing seven-day window ending each Wednesday. This week it reads nine percent below last week. You have fct_api_request (account_id, environment, traffic_class, http_status, request_at) and dim_account (account_id, billing_country, account_status, is_internal, is_current). Nothing was released. Decide whether usage actually fell, and hand back a corrected series plus a one-paragraph explanation that a non-analyst can repeat without you in the room.
Approach
- Count the holiday-free business days inside each window before comparing them. A trailing seven-day window spans exactly five weekdays wherever it ends, so its business-day count can only fall to four or fewer when a public holiday lands inside it and can never reach six, while usage in this domain follows a hard five-to-two weekday cycle. Two windows holding different numbers of business days are not comparable whatever the product did.
- Count distinct active accounts per calendar day for the last ten weeks and overlay the two windows. A calendar problem shows as a small number of weekdays sitting at weekend level, not as every day being uniformly lower.
- Cut the daily series by billing_country and index each country-day to that country's trailing same-weekday median, which isolates a regional public holiday from a product change.
- Check the denominator on its own: the metric divides by accounts whose account_status was in trial, free or active_paid for the whole week, so a batch suspension or status backfill moves the ratio with no change in the numerator at all.
- Report the series with each window's business-day count and the holiday dates annotated beside it, and state the residual week-over-week change that survives once the calendar effect is removed. Compare against earlier windows holding the same number of business days rather than dividing by business days, since distinct-account counts are sublinear in window length and dividing would over-correct.
Follow-up
- Distinct account counts are sublinear in the number of days in the window. Why does losing one of five business days reduce the count by noticeably less than twenty percent?
- How would you make this metric comparable across countries with different holiday calendars without hand-maintaining a holiday table forever?
For someone who has spent the last year in notebooks, dashboards or modelling work and has not written raw SQL under time pressure. The first four days rebuild query fluency against a fixture you control and can verify by hand; the last three attach that fluency to the rest of the loop.
Prepare, practise & reflect
One practical outcome each day. Spend longer where you need it.
0 / 7 done01Build a fixture you can check answers against
- Create a local Postgres or SQLite database with four tables (users, sessions, events, orders) holding roughly 200 rows you generated yourself, so you know the contents well enough to predict every result.
- Deliberately seed the cases that break queries: a user with no sessions, a session with no events, two orders sharing a timestamp, a NULL in one join key, and one duplicated user row.
- Before writing any SQL, hand-compute five answers on paper (how many users placed at least one order, median orders per ordering user, and three others) and save them as the ground truth for the week.
Deliverable: A one-command seed script plus a text file of five hand-computed answers to grade every later query against.
Practice prompt ↗Practice prompt ↗Practice prompt ↗Worked solution ↗02Joins, filters and NULL semantics
- Answer "which users have no orders" three ways (LEFT JOIN with IS NULL, NOT EXISTS, NOT IN) and confirm that the NOT IN version returns zero rows once the subquery contains a NULL, because the comparison is never TRUE.
- Reproduce the LEFT JOIN that silently collapses to an inner join by putting a right-table predicate in WHERE, then fix it by moving the predicate into the ON clause, and record both row counts.
- Create a fan-out bug on purpose by joining orders to order_items and summing the order total, then correct it with a pre-aggregated subquery and explain in one line which table changed the grain.
Deliverable: One annotated .sql file holding the three join traps, each with the wrong result and the corrected result side by side.
Practice prompt ↗Practice prompt ↗Practice prompt ↗03Window functions and frames
- Write three window queries against the fixture: a running order total per user, the rank of each order within its user by value, and the day gap to that user's previous order, then check each against the day-one ground truth.
- Run ROW_NUMBER, RANK and DENSE_RANK over a column containing ties, print all three side by side, and write one sentence on when each is the correct choice.
- Switch one query from the default frame (RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW, which is what you get when ORDER BY is present and no frame is written) to ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW, and explain why the output differs only when the ORDER BY column has duplicates.
Deliverable: Three verified window queries plus a short note explaining the RANGE versus ROWS difference in your own words.
Practice prompt ↗Practice prompt ↗Practice prompt ↗04The four analytical query patterns
- Write a monthly retention grid: first order month per user, then months-since-first as the column, and verify that month zero equals the cohort size exactly.
- Sessionize the events table under a 30-minute inactivity rule using LAG plus a cumulative sum over a new-session flag.
- Build a four-step funnel that counts distinct users rather than events at each step, and state the rule you applied to a user who reaches step three without ever logging step two.
Deliverable: One file with the retention, sessionization and funnel patterns, each carrying a one-line note on the assumption it bakes in.
Practice prompt ↗Practice prompt ↗Worked solution ↗05Write SQL the way you will have to write it live
- Set a 12-minute timer and solve three medium prompts in a plain editor with no execution and no autocomplete, then run them and tally syntax errors separately from logic errors.
- Narrate one solution aloud while writing it, stating the grain of each intermediate result (one row per user, one row per user-day) before you type its body.
- Rewrite your slowest solution as a CTE chain where every CTE name states its grain, and time yourself re-solving it from blank.
Deliverable: A recording of one narrated solution plus an error tally that separates syntax from logic.
Practice prompt ↗Practice prompt ↗06One day for everything that is not SQL
- Write the preconditions of the two-sample t-test from memory, then check them: independent observations, and a difference in means whose sampling distribution is approximately normal, which at large sample sizes follows from the central limit theorem rather than from normality of the raw values.
- Write the difference between an odds ratio from logistic regression and a relative risk, and state the condition under which the two are close (low outcome prevalence).
- Prepare a 90-second answer to "how would you know this model is any good" that names the metric, the baseline you would beat, and the cost of the errors you care about.
Deliverable: One page of notes covering test preconditions, the odds-ratio caveat and the model-quality answer.
Practice prompt ↗Practice prompt ↗07Full loop rehearsal
- Run a 45-minute mock with someone willing to interrupt: 20 minutes of SQL, 15 minutes defining a metric, 10 minutes on a past project.
- Re-solve from blank the two queries you were slowest on this week and compare the times against day five.
- Write a five-line answer to "walk me through a project" that puts a number in the first sentence and names the decision the work changed.
Deliverable: Mock feedback notes plus a timed project narrative you can deliver without reading it.
Practice prompt ↗Practice prompt ↗Worked solution ↗Expand any day for tasks and deliverables. Your progress is saved on this device.
Data people depend on systems owned by other teams, and much of the job is negotiating for instrumentation, access, or a fix to a broken pipeline. Prepare an example of getting something changed upstream that you did not control. Describe what you asked for, what you traded, and how you worked while you waited.
Tell me about a time you had to persuade a stakeholder to change their…
Tell me about a time you had to persuade a stakeholder to change their product direction based on data.
Approach
- State the situation in two sentences and spend the rest on your reasoning.
- Quantify the outcome, including what you would not claim credit for.
- Pick a story where you drove the decision, not one where you observed it.
Follow-up
- What did you decide not to do, and why?
- What would you do differently if you ran that project again?
Scope an open-ended request to predict account churn
A customer success director asks for a list of accounts about to churn. You know only that the team has six people and that contracts are annual. Available data is fct_subscription_period, fct_usage_daily, fct_api_request, fct_support_ticket and dim_account. Before writing any code, produce the questions you need answered, a proposed definition of about to churn, and the shape of the artefact you would hand back, including the operating point that turns a score into a decision.
Approach
- The interviewer is probing whether you convert a vague request into a decision with a capacity constraint attached. A candidate who starts talking about model families has already failed the exercise.
- Pin the event and the horizon first. Churn is only possible at term_end_date, so the population is accounts renewing in the next 60 to 90 days, not the whole base. Ask explicitly whether contraction and downgrade count as churn or only full non-renewal, because the three have different base rates and different interventions.
- Pin the action and the capacity. Six people times a realistic number of meaningful interventions per week gives k, and k is what the list is ranked to. Evaluate on precision at k rather than a global AUC over accounts that will never be contacted.
- Audit leakage before choosing features. Every feature needs a timestamp proving it existed before the prediction date. A downgrade amendment, a churn reason code, and a ticket opened after the renewal conversation started are all leaks that will make the offline number look excellent and the live list useless.
- Ask for the counterfactual now rather than later. Coverage is assigned deliberately, so without a held-out slice agreed at the start the intervention can never be evaluated, and you will be asked for its impact in nine months regardless.
- Propose the smallest artefact that closes the loop: a weekly ranked list sized to capacity with two or three inspectable reasons per row, plus a stated policy for accounts below the line.
Follow-up
- The director insists all accounts are in scope, not only those renewing soon. How do you answer without simply refusing?
- Historical non-renewals number about 30 a year. At what point do you tell them a model is the wrong tool and a rules list is better?
- Which candidate features would you drop purely because you cannot date them?
State the measured impact of your own work honestly
You are asked for the business impact of a renewal-risk worklist you shipped nine months ago. Customer success used it, and renewals in the covered segment came in 6 points above the prior year. Coverage was assigned by the team itself: they worked the top of your list and also the accounts they were already worried about. Produce the impact claim you are willing to defend, the number you refuse to claim, and the design you would have asked for at the start.
Approach
- The interviewer is probing whether you can separate what you shipped from what you caused, and whether you would have built the measurement in rather than reconstructing it afterwards. Both halves are being scored.
- Name the confound precisely. Coverage assignment is doubly selected: the largest accounts get an owner because they are valuable, and distressed accounts get one because they are at risk. The naive covered versus uncovered comparison mixes a strong positive selection with a strong negative one and can come out with either sign depending on which rule dominated. Matching on account size does not fix it, because the risk signal that triggered coverage is the same signal that predicts the outcome.
- Split the claims by what each needs to be true. Ranking quality is defensible from precision at k on out-of-time renewals. Adoption is defensible from timestamps showing what share of listed accounts were contacted. The outcome claim is not defensible without a design, and saying so is the point of the exercise.
- Look for identification before giving up on it. A capacity cut-off, a territory boundary, or a period in which the list existed but was unstaffed can assign coverage for reasons unrelated to account health, and any of those supports a bounded estimate.
- State the design you would ask for now and its price: a randomly withheld slice of the list, held for two renewal quarters, with the expected cost in renewals stated openly. That cost is what it takes to be able to answer this question at all.
- Give a bounded number rather than none. Six points with an explicit statement of how much of it you can attribute is more useful than either claiming the whole figure or declining to quantify anything.
Follow-up
- Your manager wants the 6 points in a promotion packet. What wording do you accept, and what do you strike?
- What would have had to be true for the naive covered versus uncovered comparison to be valid?
- If the holdout costs the team real renewals, how do you justify asking for it, and to whom?
- 01
Tell me about a time you had to persuade a stakeholder to change their product direction based on data.
- 02
A customer success director asks for a list of accounts about to churn. You know only that the team has six people and that contracts are annual. Available data is fct_subscription_period, fct_usage_daily, fct_api_request, fct_support_ticket and dim_account. Before writing any code, produce the questions you need answered, a proposed definition of about to churn, and the shape of the artefact you would hand back, including the operating point that turns a score into a decision.
- 03
You are asked for the business impact of a renewal-risk worklist you shipped nine months ago. Customer success used it, and renewals in the covered segment came in 6 points above the prior year. Coverage was assigned by the team itself: they worked the top of your list and also the accounts they were already worried about. Produce the impact claim you are willing to defend, the number you refuse to claim, and the design you would have asked for at the start.
Is this an official Nucs AI interview guide?
No. It is PracHub's own research and practice material for the Data Scientist role at Nucs AI. Rounds and questions reflect what candidates have reported, not a process Nucs AI has published, and they change over time. Confirm the current format and scope with your recruiter.
PracHub interview research ↗How long should I spend preparing for the interviews?
Most successful candidates spend 3–4 weeks of focused preparation. This allows enough time to refresh on statistics and practice SQL coding under time pressure.
PracHub interview research ↗Is the culture at Nucs AI very technical?
Yes, Nucs AI is an engineering-first organization. You will be expected to defend your technical choices, so be prepared to go deep into the "why" of your methodology.
PracHub interview research ↗What is the best way to stand out during the interview?
Demonstrate strong business intuition. The best candidates don't just solve the math; they explain how their solution helps the business achieve its goals.
PracHub interview research ↗How often is the role remote?
While specific policies vary, Nucs AI values collaboration, so expect a hybrid or office-based environment in Berlin or München.
PracHub interview research ↗Sources & methodology 3 sources ↗
No official company page is cited. Rounds and questions come from candidate reports and PracHub editorial material; each source shows the date it was read.
- 01PracHub interview research ↗
PracHub editorial research into this company and role, maintained with this guide. Candidate-reported, not an employer publication.
PracHub page · Accessed 2026-09-22 - 02PracHub Data Scientist practice ↗
Cross-company practice questions for this role.
PracHub page · Accessed 2026-09-22 - 03PracHub interview preparation framework ↗
The framework the preparation plan follows.
PracHub page · Accessed 2026-09-22
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