As a Data Scientist at Two Six Technologies, you are at the intersection of complex data engineering and high-stakes product development. Your role is pivotal in transforming raw, often unstructured data into actionable intelligence that drives decision-making across the organization. By applying rigorous statistical methods and machine learning models, you help solve intricate problems that directly impact the mission-critical systems Two Six Technologies builds for its clients.
This position is not merely about model building; it is about product-centric problem solving. You will influence how metrics are defined, how experiments are designed to test new features, and how the organization interprets success. Success in this role requires a balance of technical precision, an ability to diagnose performance drops in real-time, and the communication skills to articulate complex findings to non-technical stakeholders.
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 Assessment
reportedMuch of what gets scored here happens out loud while you type. Nobody can see your reasoning inside a half-written query, so five silent minutes read as being stuck even when they are not. State the plan in plain language first: which tables, what grain you are aggregating to, and the one filter that defines the population. Then write it. The narration doubles as insurance, because a wrong plan gets caught early and cheaply while a wrong query gets caught at the end with no time left to redo it. A timed statistics section, where one exists, is a separate test with its own clock.
What to demonstrate
- Whether the query you write matches the plan you just described
- What you do with a hint, meaning whether the correction gets absorbed or the first approach gets defended
- Whether you can debug your own wrong output by reading the result set and naming which part of the query produced the anomaly
How to prepare
- Solve three problems while screen-sharing into a recording, then watch it back and mark every stretch longer than thirty seconds where you said nothing
- Practise compressing the plan into one sentence before typing, then check afterwards whether the finished query actually matched it
- Time yourself on statistics questions that carry a business reading, such as what a confidence interval does and does not claim, rather than re-reading notes without a clock
Remote Interviews
reportedRounds outside the standard loop often open with something deliberately under-specified: a loose business problem, an open question about a product area, a dataset described in one sentence. The common failure is surveying, listing six plausible approaches and committing to none of them. The thing that separates a strong answer is scoping out loud. State what you are treating as the goal, name the metric you would move, say what you are choosing not to do and why, then take one path through to an actual answer. An interviewer can follow you down a narrow path. Nobody can grade a menu.
What to demonstrate
- Whether you turn an ambiguous prompt into a stated question with a measurable outcome before doing any work
- The judgement visible in what you cut, and whether you say why you cut it rather than silently dropping it
- Whether you land on a concrete recommendation with its caveat attached, rather than an unranked set of options
How to prepare
- Take three vague prompts, such as 'is this feature working', 'why did retention drop', and 'should we expand into a new segment'. For each, write one sentence of goal, one primary metric with its window, and two things you are explicitly not doing.
- Practise giving the recommendation first and the reasoning second, in five minutes. Loosely defined rounds are usually time-boxed, and an answer that arrives last often does not arrive.
- Keep a running assumption list as you talk, on paper or in the shared doc, so the interviewer can challenge one assumption instead of your whole answer.
PracHub editorial advice for the preparation topics above.
Computing monthly churn against the entire customer base when contracts are annual
An annual contract has no opportunity to churn except at its renewal date, so an account that is eleven months from renewal is in the denominator while being incapable of appearing in the numerator. The resulting rate is smaller than the real one by roughly the ratio of the base to the renewal-eligible base, and it oscillates with the seasonality of when deals were originally signed rather than with anything about the customers. The corresponding trap on the other side is counting a churn on the date the record was updated rather than on term_end_date, which shifts losses into whichever month the operations team did its paperwork.
Comparing accounts that received a sales or customer-success touch against those that did not
Assignment of coverage is deliberate and pulls in both directions at once: the largest accounts get a named owner because they are valuable, and the accounts showing distress get one because they are at risk. The comparison therefore mixes a strong positive selection with a strong negative one, and the naive estimate can come out with either sign depending on which assignment rule dominated during the period examined. Nothing about matching on observed size fixes this, because the risk signal that triggered coverage is usually the same signal that predicts the outcome. It needs either an actual randomised or staggered rollout of coverage, or a design built on a capacity constraint or territory boundary that assigns coverage for reasons unrelated to account health.
Ending an analysis without a recommendation or next step
Close with what you would do and what would change your mind, stated as a condition you can check later. If the evidence is genuinely inconclusive, recommend the specific next measurement and say what it costs in time or exposure.
Reading experiment results before checking the arm split
Compare observed arm counts against the intended allocation ratio, not an assumed even split, and set the alarm far below the conventional 0.05: at 0.05 roughly one healthy experiment in twenty trips it, which is why sample-ratio checks usually run at p < 0.001 or stricter. The test's power scales with sample size, so it misses a real diversion on a small experiment and fires on an imbalance too small to move the estimate on a very large one. A flag means go find the assignment or logging fault before reading any outcome, not report a mismatch.
Choose a category, try a prompt, then open its approach, worked solution or follow-up when you need it.
Sessionise an API event stream with a 30-minute inactivity gap
fct_api_request arrives as a DataFrame with account_id, user_id, request_at (tz-aware UTC), traffic_class and http_status, roughly 5 million rows. Assign a session_id to every human-attributable request: drop rows where user_id is null or traffic_class is in ('ci','synthetic_monitor','load_test'), then open a new session whenever the gap since that user's previous remaining request exceeds 30 minutes. Return the filtered frame plus session_id, and a per-session summary with user_id, account_id, session start, session end and request count. Do not loop over rows.
Approach
- Settle the filter-then-gap ordering before writing code. Removing CI and synthetic rows changes the gaps, so sessionising the raw stream and filtering afterwards is a different answer; the definition given filters first, and the two diverge most for accounts whose CI runs every ten minutes.
- Sort once by (user_id, request_at) with a stable kind, then gap = df.groupby('user_id', sort=False).request_at.diff(). The first row of each user yields NaT, which is exactly the boundary condition you want rather than a special case to patch.
- new_session = gap.isna() | (gap > Timedelta(minutes=30)); session_id = new_session.cumsum(). The cumsum runs over the whole sorted frame and therefore produces globally unique ids in one pass; a per-user cumcount collides across users and forces a composite key on every downstream join.
- Build the summary with a single groupby('session_id').agg(...). user_id and account_id can be carried with 'first' only because the sort key groups them — state that dependency, since it silently breaks if someone later re-sorts the frame.
- Decide explicitly what a session means when one user_id holds memberships in several accounts: either add account_id to the sort and group keys, or document that sessions may cross accounts. Leaving it undecided produces sessions whose account_id is whichever row sorted first.
Follow-up
- Where does 30 minutes come from, and how would you pick it from this data instead of from convention?
- An engineer reused their personal key for a nightly batch job, so machine traffic carries a human user_id. How would you detect that, and should those requests form sessions?
- How much does the session count change if you sessionise before dropping CI traffic rather than after?
Audit daily usage rows for grain and arithmetic violations
You are handed fct_usage_daily as a pandas DataFrame with account_id, workspace_id, sku_code, usage_date, billable_quantity, included_quantity_applied, overage_quantity, list_amount_cents, discount_amount_cents, net_amount_cents, cogs_cents, is_restated, first_written_at and restated_at. The declared grain is one row per (account_id, workspace_id, sku_code, usage_date). Write audit(df) returning a DataFrame with one row per failing check: check name, failing row count, and one example key. Cover at minimum grain duplication, negative quantities or amounts, the identity net = list - discount, billable = included + overage, and rows where is_restated is true but restated_at is null.
Approach
- Check the grain before anything else with df.duplicated(subset=key, keep=False), and count rows rather than groups so a key appearing twice contributes 2 — if the grain is broken every arithmetic count below it is uninterpretable.
- Express each invariant as a boolean Series over the whole frame. The cent columns are integers and compare exactly, so use !=; the numeric(18,6) quantity columns need np.isclose with atol=1e-6 because included + overage is a decimal sum.
- Handle null as its own failure mode. Comparisons against NaN return False, so a check written as rows_that_pass = (a == b - c) silently files every null-amount row wherever the negation happens to land; build each check as violations = ~condition | column.isna().
- Collect the checks as a list of (name, mask) pairs and assemble the output in one pass, so adding a check is one line and every check reports in the same shape.
- Order the output with structural failures (grain, null keys) above arithmetic failures, and report zero-count checks too — a check that silently disappears when it passes is indistinguishable from a check that was never run.
Worked solution 20 min
- key = ['account_id','workspace_id','sku_code','usage_date']; dup = df.duplicated(key, keep=False); record dup.sum() and df.loc[dup, key].iloc[0].to_dict() as the example.
- neg = (df[['billable_quantity','included_quantity_applied','overage_quantity','list_amount_cents','net_amount_cents','cogs_cents']] < 0).any(axis=1); net_bad = df.net_amount_cents.isna() | (df.net_amount_cents != df.list_amount_cents - df.discount_amount_cents).
- qty_bad = ~np.isclose(df.billable_quantity, df.included_quantity_applied + df.overage_quantity, atol=1e-6) | df.billable_quantity.isna(); restated_bad = df.is_restated & df.restated_at.isna().
- Assemble pd.DataFrame([{'check': n, 'failing_rows': int(m.sum()), 'example': first_key(m)} for n, m in checks]) with the grain and null checks listed first.
Follow-up
- Which of these should block a dashboard refresh and which should only warn?
- Rows with is_restated = true legitimately change value after first write. How do you make yesterday's audit result reproducible?
- How would you extend this to catch a partition that is missing entirely rather than wrong?
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?
Write a query using SQL window functions to calculate a rolling averag…
Write a query using SQL window functions to calculate a rolling average of user activity.
Approach
- Say which table is the grain you start from, and join outward from it.
- State the window function and its partition and ordering out loud before writing 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?
Monthly account margin joined as-of the live contract version
fct_usage_daily carries account_id, usage_date, net_amount_cents and cogs_cents. fct_subscription_period carries account_id, plan_tier, term_start_date, term_end_date, booked_at and is_current, with one row per contract version, so several superseded versions can bracket the same usage_date. dim_account is a type 2 dimension keyed on account_id with employee_band, is_internal, effective_from, effective_to and is_current. Return monthly net revenue, allocated COGS and gross margin per account, labelled with the plan_tier in force during that month and the employee_band in force at month end. The reported figure excludes internal accounts, so it cannot equal the raw sum of net_amount_cents; reconcile additively instead, quantifying every bucket you drop so the reported and dropped amounts add back to that raw sum.
Approach
- Aggregate fct_usage_daily to one row per (account_id, month) before touching any dimension. Aggregating after the join is what multiplies revenue, and no amount of DISTINCT afterwards recovers the right number.
- Resolve the contract as-of the month rather than as-of now. Take fct_subscription_period rows whose term brackets the month, then rank with ROW_NUMBER() OVER (PARTITION BY account_id, month ORDER BY booked_at DESC, subscription_period_id DESC) and keep rank 1. Filtering on is_current instead backdates today's plan over last year's usage and quietly rewrites history.
- Resolve dim_account with the half-open interval effective_from <= month_end AND (effective_to > month_end OR effective_to IS NULL). The NULL on the live version has to be spelled out or the current row drops out of every recent month.
- Compute margin as (sum(net_amount_cents) - sum(cogs_cents)) / NULLIF(sum(net_amount_cents), 0) at the account-month grain, and report the distribution rather than a blended rate so margin-negative accounts stay visible.
- State the month-straddling rule explicitly: either split the month at the amendment date or take the version in force at month end. Both are defensible; an unstated choice is not.
- Reconcile additively, not by equality to the unfiltered total. The output deliberately drops two populations: account-months whose as-of dim_account version carries is_internal = true, and account-months with no fct_subscription_period version bracketing the month, which an inner join on the contract removes without saying so. The statement that ties out is reported_net + internal_net + unmatched_net = sum(net_amount_cents) over the same usage_date range. Plain equality to the raw sum would only hold if both dropped buckets were empty, and the internal one never is.
- Compute the internal bucket with the identical as-of rule used for the output, evaluating is_internal on the dim_account version in force at that month end. Reading is_internal from the current version instead moves accounts between the two sides of the identity and it stops closing.
Worked solution 30 min
- Build usage_monthly: SELECT account_id, date_trunc('month', usage_date) AS month, sum(net_amount_cents) AS net_cents, sum(cogs_cents) AS cogs_cents FROM fct_usage_daily GROUP BY 1, 2.
- Build contract_asof by joining usage_monthly to fct_subscription_period on account_id with the term bracketing the month, then applying the ROW_NUMBER ranking on booked_at DESC and keeping rn = 1.
- Join dim_account with the half-open effective_from/effective_to predicate evaluated at month end, and filter is_internal = false on the version selected.
- Select account_id, month, plan_tier, employee_band, net_cents, cogs_cents and (net_cents - cogs_cents)::numeric / NULLIF(net_cents, 0) AS gross_margin.
- Run the reconciliation as a three-way identity over the same usage_date range: sum(net_cents) in the output, plus sum(net_cents) over account-months whose as-of dim_account version has is_internal = true, plus sum(net_cents) over account-months with no bracketing subscription version, must equal SELECT sum(net_amount_cents) FROM fct_usage_daily for that range, to the cent. Publish the two dropped amounts next to the total rather than leaving them implicit; a non-zero unmatched bucket is a contract-coverage bug to chase, not rounding.
Follow-up
- An account amends mid-month from team to enterprise. Show what your query reports and argue for one attribution rule over the other.
- Your monthly total disagrees with the finance figure by a small amount. Where would you look first, and which number do you defend?
How do you balance trade-offs between two competing metrics (e.g., eng…
How do you balance trade-offs between two competing metrics (e.g., engagement vs. latency)?
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.
- Fix the population and the time window before naming any metric.
Follow-up
- What would you do if the primary metric and the guardrail moved in opposite directions?
- How would you detect that the metric is being gamed rather than genuinely improving?
If a feature is performing well but user retention is down, how do you…
If a feature is performing well but user retention is down, how do you investigate?
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.
- Fix the population and the time window before naming any metric.
Follow-up
- What would you do if the primary metric and the guardrail moved in opposite directions?
- How would you detect that the metric is being gamed rather than genuinely improving?
How would you design a metric to measure the success of a new feature?
How would you design a metric to measure the success of a new feature?
Approach
- Restate the decision this analysis has to support, and who acts on the answer.
- 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?
If you notice a sudden drop in a key product metric, what is your step…
If you notice a sudden drop in a key product metric, what is your step-by-step diagnostic process?
Approach
- Fix the population and the time window before naming any metric.
- State what result would change your recommendation, so the answer is falsifiable.
- Name one primary metric, then the guardrail that stops it being gamed.
Follow-up
- What would you do if the primary metric and the guardrail moved in opposite directions?
- Which segment would you cut first, and what would that rule out?
What are the most common experimentation pitfalls you encounter when r…
What are the most common experimentation pitfalls you encounter when running A/B tests?
Approach
- Say whether units interfere with each other, and switch design if they do.
- Name the randomisation unit first; it decides the variance and what the test can detect.
- Decide the analysis before seeing data, including how long it runs and when you look.
Follow-up
- What would you do if you could not randomise at all?
- How would you handle interference between treated and control units?
Explain the difference between statistical and practical significance …
Explain the difference between statistical and practical significance in an A/B test.
Approach
- State the primary metric and the minimum effect worth shipping, then size the test.
- Say whether units interfere with each other, and switch design if they do.
- Name the guardrails that would stop a launch even on a positive primary result.
Follow-up
- What would you conclude if the result is positive but the test is underpowered?
- How would you handle interference between treated and control units?
Size an account-randomised test of a consumption feature
You have 2,800 non-internal paying accounts. The outcome is the monthly sum of billable_quantity for sku_code = 'compute_hours' from fct_usage_daily, with a mean of 640 and a standard deviation of 2,100 across accounts. Product wants to detect a 5% lift from a scheduling feature, randomised 50/50 at the account level, at 80% power and two-sided alpha 0.05. Give the minimum detectable effect the available sample actually supports, say whether the 5% target is reachable, and state what you would change in the design or the metric before agreeing to run it.
Approach
- Write the two-sample formula and plug it before discussing anything else: MDE = (z_0.975 + z_0.80) * sd * sqrt(1/n1 + 1/n2) = 2.80 * 2100 * sqrt(2/1400) = 222 compute-hours, which is 34.7% of the 640 mean. The driver is the coefficient of variation of 3.3, not the account count, so quoting a sample size without it is not a power calculation.
- Invert for the stated target. A 5% lift is 32 compute-hours, needing N = 4 * (2.80 * 2100 / 32)^2 = about 135,000 accounts, roughly 48 times the eligible population. Say the test is not powerable on this metric, and do not offer to run it longer: the account population is fixed, and extra weeks add repeated observations on the same clusters rather than new clusters.
- Attack the variance instead of the sample. Pre-register winsorisation at the 99th percentile of the pre-period distribution, or move the estimand to a bounded one such as the share of accounts exceeding a usage floor. State explicitly that this changes the estimand rather than cleaning the data, because a cap chosen after seeing the result encodes the answer.
- Add CUPED on the account's pre-period compute_hours. At a pre/post correlation of 0.80 the residual variance multiplier is 1 - 0.80^2 = 0.36, the standard error falls to 0.60 of its unadjusted value, and the MDE drops from 222 to 133 compute-hours (20.8% relative). That is still four times the requested 5%.
- Fix the randomisation unit and the balance in the same breath: randomise account_id because colleagues share workspaces, and stratify assignment on pre-period usage decile so that a handful of very large accounts cannot land disproportionately in one arm and dominate the difference in means.
- Close with an operating decision rather than a number. Run only if the team will act on a roughly 20% MDE after CUPED and winsorisation; otherwise re-specify the primary outcome as a bounded indicator and treat compute-hours as a secondary reported with intervals only.
Worked solution 25 min
- Compute the coefficient of variation, 2100 / 640 = 3.28, and check the top-decile share of total compute_hours before treating the mean as a summary of anything.
- Compute MDE = 2.80 * 2100 * sqrt(1/1400 + 1/1400) = 2.80 * 2100 * 0.0378 = 222 compute-hours, 34.7% relative.
- Invert to the required N for a 32-hour effect: 4 * (5883 / 32)^2 = about 135,000 accounts, 48x the population.
- Recompute under CUPED at rho = 0.80: variance multiplier 0.36, SE multiplier 0.60, MDE 133 compute-hours, 20.8% relative.
- Recompute on the binary variant at base rate 0.46 and write the recommendation as one decision with one operating point.
Follow-up
- The feature only applies to the 310 accounts on committed_consumption contracts. What is the MDE on that subset, and does it change the recommendation?
- Suppose the primary outcome becomes a binary indicator, account exceeded 100 compute-hours in the month, at a base rate of 0.46. What is the MDE now, and why did it improve so much?
- What would make you stop this test early, and how do you write that rule so it is not peeking?
Activation drops six points starting at a deploy hour
Seven-day activation, defined as an account's first request with http_status < 400, api_key_id not null and traffic_class <> 'synthetic_monitor' within 168 hours of created_at, fell six points for sign-up cohorts after a Tuesday. A client SDK major version shipped that morning. From fct_api_request (account_id, api_key_id, sdk_name, sdk_version, http_status, traffic_class, request_at) and dim_account (account_id, created_at, is_internal), decide whether activation actually fell or the metric's inputs changed, and state in advance what evidence would convince you of each.
Approach
- Decompose the definition and recompute activation under each relaxation: status only, status plus traffic_class, then the full definition. If the entire drop lives in the api_key_id clause, this is an instrumentation question rather than a behavioural one.
- Measure the null rate of api_key_id by sdk_version and by hour. A stamping change appears as a step at the deploy boundary confined to the new version; a behavioural change appears as a ramp that grows with adoption and leaves old-version traffic untouched.
- Hold the cohort's SDK mix fixed before comparing. New sign-ups adopt the newest version first, so a cohort-level drop can be pure composition even when no individual version changed at all.
- Corroborate with a source the release did not touch: whether the same cohorts appear in fct_usage_daily with non-zero billable_quantity, and whether their fct_support_ticket rows with category = 'onboarding' rose.
- Write the decision rule down before looking at the answer. An instrumentation artefact predicts unchanged downstream usage and a version-confined null step; a real regression predicts falling downstream usage and more onboarding tickets in the same cohorts.
Follow-up
- Old-version and new-version populations are not exchangeable, because new accounts adopt the new version first. How would you build a comparison that is not confounded by cohort age?
- What backfill or metric-versioning policy keeps the historical series interpretable once you fix the stamping?
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 ↗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.
An answer without a quantity is hard to interrogate, so interviewers keep probing until they find one. Come with the baseline, the change, the window it was measured over, and how confident you were. If the effect never got measured, say so and say what you would have measured. Fabricated precision is worse than an honest gap.
Describe a situation where your data analysis led to a significant cha…
Describe a situation where your data analysis led to a significant change in product strategy.
Approach
- Quantify the outcome, including what you would not claim credit for.
- State the situation in two sentences and spend the rest on your reasoning.
- 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?
- How did you know the outcome was caused by your change?
Defend a churn number twelve times the one in the board deck
You recompute logo churn on the renewal-eligible base from fct_subscription_period, counting only accounts whose term_end_date fell in the month and allowing a 45-day grace for late paperwork. Annualised, about 14 percent of accounts that reach a renewal date do not renew. A revenue leader has been quoting 1.2 percent to the board for two quarters, computed by dividing non-renewed accounts by the entire customer base in each month and printing that monthly figure with no period attached. You have 20 minutes with that leader and the finance lead. Decide which number is reported from now on, and what happens to the two quarters already published.
Approach
- The interviewer is probing whether you can hold a correct definition under social pressure without turning it into a competence dispute. Open by reproducing their 1.2 percent exactly, with their denominator and their months, so the disagreement is arithmetic both sides can see rather than a claim about who was careless.
- Separate the two defects, because they are different in kind. The denominator is wrong: on annual contracts only about one twelfth of the base reaches a renewal date in any month, so an account eleven months from renewal sits in the denominator while being structurally incapable of entering the numerator, which suppresses the rate by a factor near twelve. The period is merely unstated: a monthly figure printed beside annual revenue targets gets read as an annual rate.
- Say out loud that those two defects nearly cancel in the level, before the leader finds it. Twelve times 1.2 percent is about 14 percent, which is your number. That is the strongest thing you can say in the room, because it proves both figures rest on the same non-renewal count and moves the meeting onto which denominator and which period get published rather than onto whose query is right.
- The level is recoverable; the series is not. Non-renewals in a month are the eligible base for that month times the churn rate, so dividing by a fixed whole base makes the published line proportional to how many contracts happen to come up that month. Where signings cluster at quarter ends, the eligible base in a quarter-end month can be several times a quiet month's, and the month-over-month moves the board has been reading as satisfaction are the signing calendar.
- Separate the measurement change from a business change. Nothing got worse this week; the loss rate was always this. Bring net revenue retention over the same period as a ratio of sums on a cohort frozen twelve months earlier, because logo churn concentrated in small accounts can sit beside healthy revenue retention, and that combination is the actual story.
- Offer a migration path rather than a correction. Report both rates for one quarter with a written bridge, restate the prior two quarters in an appendix instead of silently, and pin the definition, including the period it is stated over, somewhere finance and product both read it. Concede the limits of your own number: the 45-day grace means the most recent 45 days are not reportable, and churn must be dated on term_end_date rather than on updated_at. A strong answer volunteers this; a generic one only defends.
Follow-up
- The leader multiplies their monthly figure by twelve, lands on your annual number, and concludes nothing was ever wrong. What do you say?
- The leader says publishing the corrected rate costs the team its credibility with the board this quarter. What do you do?
- Gross logo retention worsened while net revenue retention improved. Which do you lead with, and what does the combination tell you about who is leaving?
Report an underpowered consumption test to a non-technical executive
An account-randomised packaging change ran six weeks across 900 paying accounts. The effect on billable units per account per month is plus 4.1 percent, with a 95 percent interval from minus 3.2 to plus 11.8 after clustering standard errors at the account and applying the pre-registered winsorisation at the 99th percentile. An executive with no statistical background wants one number this week to decide a full rollout. Produce a three-sentence spoken answer, one chart, and an explicit recommendation of ship, stop or keep running, with the cost of each option stated.
Approach
- The interviewer is probing whether you can be decision-useful without either hiding the uncertainty or hiding behind it. Start from the decision rather than the statistics: establish what the executive would do differently at plus 4 percent versus zero, because if the action is identical the interval does not matter.
- Translate the interval into consequences in units the executive already reasons about. Multiply both endpoints by the cohort's baseline consumption and contracted rates to give an annualised revenue range, so the answer is a range of dollars rather than a range of percentages.
- Price the option to wait. Using the observed variance, state roughly how many additional account-weeks halve the interval width, so keep running becomes a quantified choice instead of a stall.
- Offer a cheaper path to the same decision: a lower-variance proximate outcome such as successful billable units on the new SKU, or CUPED using each account's pre-period consumption, quoting the expected variance reduction as one minus the squared pre-post correlation.
- Give a recommendation and name the single observation that would reverse it. A strong answer commits; a generic one recites the interval and leaves the decision on the table.
Follow-up
- The executive says it clearly works and is just not provable, so ship it. What is your answer?
- How much of the interval width comes from clustering and how much from the revenue tail, and what would you do about each?
- If you had to ship this week with no more data, which guardrail would you watch for the first fortnight and at what threshold would you roll back?
- 01
Describe a situation where your data analysis led to a significant change in product strategy.
- 02
You recompute logo churn on the renewal-eligible base from fct_subscription_period, counting only accounts whose term_end_date fell in the month and allowing a 45-day grace for late paperwork. Annualised, about 14 percent of accounts that reach a renewal date do not renew. A revenue leader has been quoting 1.2 percent to the board for two quarters, computed by dividing non-renewed accounts by the entire customer base in each month and printing that monthly figure with no period attached. You have 20 minutes with that leader and the finance lead. Decide which number is reported from now on, and what happens to the two quarters already published.
- 03
An account-randomised packaging change ran six weeks across 900 paying accounts. The effect on billable units per account per month is plus 4.1 percent, with a 95 percent interval from minus 3.2 to plus 11.8 after clustering standard errors at the account and applying the pre-registered winsorisation at the 99th percentile. An executive with no statistical background wants one number this week to decide a full rollout. Produce a three-sentence spoken answer, one chart, and an explicit recommendation of ship, stop or keep running, with the cost of each option stated.
Is this an official Two Six Technologies interview guide?
No. It is PracHub's own research and practice material for the Data Scientist role at Two Six Technologies. Rounds and questions reflect what candidates have reported, not a process Two Six Technologies 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 technical assessment?
Given that the assessment is a multi-hour task, plan for at least 2–3 full days of dedicated time to allow for drafting, reviewing, and refining your work.
PracHub interview research ↗What is the best way to handle the behavioral rounds?
Use the STAR method (Situation, Task, Action, Result) to keep your answers structured, and always emphasize the impact your work had on the team or the product.
PracHub interview research ↗What differentiates successful candidates?
Successful candidates don't just solve the problem; they demonstrate a deep understanding of the business context and show a proactive mindset regarding potential pitfalls or edge cases.
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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