PROS · Data Scientist
Updated · 2026-09-22

PROS Data Scientist
Interview Questions & Guide 2026

THE 60-SECOND BRIEF

As a Data Scientist at PROS, you play a vital role in transforming complex data into actionable insights that drive strategic decision-making and enhance product offerings. Your expertise in statistical analysis, machine learning, and data interpretation will help shape the core algorithms and models that underpin our pricing and revenue management solutions. In this position, you will work closely with cross-functional teams to not only improve existing products but also innovate new solutions tailored to our clients' evolving needs.

When randomisation is off the table, the skill being checked is naming an identification strategy together with the assumption it rests on: parallel trends for difference-in-differences, relevance and exclusion for an instrument, overlap and conditional ignorability for matching. Say the assumption out loud and say how you would try to break it.

PROS candidates report 2 rounds · ≈ 2-4 weeks. The stages below are what candidates describe, not a published process.

Decompose a metric move by segment and mixTurn a vague request into a measurable questionSize an experiment before anyone launches it

31 min read

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See the practice prompts

15Practice promptsAcross five skill areas
3With worked solutionsIncluded in the practice prompts

As a Data Scientist at PROS, you play a vital role in transforming complex data into actionable insights that drive strategic decision-making and enhance product offerings. Your expertise in statistical analysis, machine learning, and data interpretation will help shape the core algorithms and models that underpin our pricing and revenue management solutions. In this position, you will work closely with cross-functional teams to not only improve existing products but also innovate new solutions tailored to our clients' evolving needs.

The impact of your work is profound. You will be influencing how businesses optimize their pricing strategies, ensuring they remain competitive in a rapidly changing marketplace. By leveraging data science techniques, you will contribute to products that help our users make data-driven decisions, thus enhancing their operational efficiency and profitability. This role is critical at PROS due to its scale and complexity, as you will be addressing large datasets and deriving insights that have strategic implications for our business and our customers.

01

Technical Phone Interview

reported

Much 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
PracHub interview research ↗
02

Research Project Presentation

reported

An extra round usually exists because something is still open after the standard loop: a skill the earlier interviews did not sample, a level decision, or two interviewers who disagreed. It is rarely a rerun of what you already did well. Ask the recruiter who you are meeting, what function they sit in, and how long the session runs. That is an ordinary scheduling question, and the answer changes what you should prepare. What separates a strong candidate here is treating the round as a fresh evaluation with its own bar, rather than assuming earlier performance carries you through or sinks you.

What to demonstrate

  • Whether you can answer well on ground the earlier rounds did not cover, without leaning on what you already said to someone else
  • Consistency of the facts in your stories: the same sample size, timeframe, team size and scope of your own role as in earlier conversations
  • How you handle an unfamiliar format live, including whether you ask what kind of answer is wanted before producing one

How to prepare

  • Ask the recruiter for the interviewer's function, the length, and whether to expect a coding surface, a discussion, or a presentation. Preparing for a 30 minute conversation with a partner team is not the same work as preparing for a 60 minute technical block.
  • Write out what each earlier round actually covered, then list the two or three areas nobody probed. That gap is the most likely subject of the extra round.
  • Re-read the numbers in the project stories you have already told, so a second telling does not quietly contradict the first.
PracHub interview research ↗

PracHub editorial advice for the preparation topics above.

01

Reading a pooled rate that moved because the mix moved, not because any behaviour changed

A pooled conversion rate is a weighted average, and a shift in the weights can move it in the opposite direction to every one of its parts. A paid campaign that brings low-converting traffic drops overall signup conversion even if desktop, mobile web and app conversion each rose that week, which is Simpson's paradox and it is the single most common cause of an inexplicable dashboard move. The discipline is to decompose before explaining: recompute the rate holding last period's segment weights fixed, and compare that counterfactual to the actual, so the mix effect and the rate effect are separated numerically rather than argued about. Segment on the dimensions that actually reweight, which in this domain are almost always device_type, referrer_channel, country and new versus returning.

02

Comparing cohort retention curves of different maturities, or building the curve from users who are still present

A cohort four weeks old has no week-8 value, so an average taken across cohorts silently drops young cohorts from the later columns and keeps them in the earlier ones. The curve then bends upward at the tail, and the reading that 'retention is improving over time' is an artefact of which cohorts survived to be measured. The same error appears in the denominator when retention is computed over users active in the current period rather than over the full original cohort, which conditions on survival and guarantees a flattering number. The fix is a triangle: fix the cohort at signup, bound every window on both sides, and only compare cells where every cohort has had the full elapsed time, publishing the rest as blank rather than as a partial average.

03

Building features from data that postdates the prediction time

Check every feature against the timestamp at which the model would actually score, and drop anything computed from a window that includes or follows the label event. For a forecasting use case, split train and test by time rather than at random, and split by entity when the same entity recurs.

04

Generalising beyond the population the sample actually supports

State the frame the sample was drawn from and where it diverges from the population you want to talk about: time window, platform, geography, opt-in. If a group is excluded from the frame, either weight to known margins or narrow the claim rather than quietly extending it.

Choose a category, try a prompt, then open its approach, worked solution or follow-up when you need it.

12 technical prompts3 include a worked solution

Write a function to calculate the correlation coefficient between two …

medium
statistics and probability

Write a function to calculate the correlation coefficient between two variables.

Approach
  1. Sanity-check the answer against a simple bound or a simulated case.
  2. Translate the result into the decision it informs, in one plain sentence.
  3. Say what the estimate is of, and over what population it generalises.
Follow-up
  • Which assumption here is most likely to be violated in practice?
  • What sample size would you need to detect an effect half this size?

Describe a machine learning algorithm you have implemented and the cha…

medium
machine learning and modelling

Describe a machine learning algorithm you have implemented and the challenges you faced.

Approach
  1. Say how the offline result would be validated online before it is trusted.
  2. Frame the prediction: the label, the moment of prediction, and the action it triggers.
  3. Check what information would not exist at prediction time, and exclude it.
Follow-up
  • What would you monitor after launch to know the model is still valid?
  • Where could label leakage enter this setup?

Given a dataset, how would you implement a decision tree from scratch?

medium
machine learning and modelling

Given a dataset, how would you implement a decision tree from scratch?

Approach
  1. Frame the prediction: the label, the moment of prediction, and the action it triggers.
  2. Check what information would not exist at prediction time, and exclude it.
  3. Pick an evaluation metric that matches the cost of each error type, not a default.
Follow-up
  • Where could label leakage enter this setup?
  • How would you choose the decision threshold, and who owns that choice?

Cluster bootstrap for a per-session rate randomised on users

hardWorked solution
cluster bootstraprandomisation unitvariance

An experiment randomised on user_id reports a per-session conversion rate, so sessions inside a user are correlated. Input: one row per session with user_id, variant in {control, treatment} and converted in {0,1}. Write a cluster bootstrap from scratch: resample users with replacement within each arm, keep every session of a drawn user, recompute each arm's ratio of converted sessions to sessions, and take the difference. Return the point estimate, a 95 percent percentile interval from at least 2,000 resamples, the naive session-level interval that ignores clustering, and the ratio of their widths.

Approach
  1. Name the estimand precisely: it is a ratio of sums, sum(converted) over sum(sessions) within an arm, not the mean of per-user rates. Those differ whenever session counts vary across users, and the ratio is what the reported metric is.
  2. Resample the cluster, not the row. Draw n_users user ids with replacement inside each arm and take every session belonging to each draw, including duplicate draws of the same user. Keeping the user count fixed per arm rather than the session count is what preserves the sampling design.
  3. Precompute per-user (converted_sum, session_count) once, so each resample is two vector lookups and a division rather than a repeated filter over the session frame. That turns 2,000 resamples from minutes into under a second.
  4. Take the 2.5th and 97.5th percentiles of the 2,000 differences for the interval, and report the point estimate from the full data rather than from the bootstrap mean, since the bootstrap mean carries the resampling bias.
  5. Compute the naive interval from the session-level binomial standard error and compare widths. The expected inflation is roughly sqrt(1 + (m-1)*rho), with m the mean sessions per user and rho the intraclass correlation of converted within users, so a computed ratio far from that value points at a bug in one of the two intervals.
Worked solution 35 min
  1. per_user = df.groupby(['variant','user_id'])['converted'].agg(['sum','size']); split into two arrays per arm.
  2. point = (t_sum.sum() / t_n.sum()) - (c_sum.sum() / c_n.sum()).
  3. For b in range(B): idx = rng.integers(0, len(t_sum), len(t_sum)); ratio_t = t_sum[idx].sum() / t_n[idx].sum(); same for control; store the difference. Vectorise by drawing a (B, n) index matrix if memory allows.
  4. ci = np.percentile(diffs, [2.5, 97.5]); naive_se = sqrt(p_t*(1-p_t)/n_sessions_t + p_c*(1-p_c)/n_sessions_c); naive_ci = point +/- 1.96*naive_se.
  5. width_ratio = (ci[1]-ci[0]) / (naive_ci[1]-naive_ci[0]).
EXPECTED RESULTA point estimate identical to the full-data ratio difference, a percentile interval containing that point estimate, and a width ratio greater than 1 whose value approximates sqrt(1 + (m-1)*rho) for the data's mean cluster size m and intraclass correlation rho. A ratio of approximately 1.0 means sessions were resampled instead of users.
Follow-up
  • Users average 3.4 sessions and the intraclass correlation is 0.12. What width ratio do you predict before running it, and does your bootstrap land there?
  • Give the delta-method standard error for this ratio and say when you would prefer it to the bootstrap.
  • Half the users in the treatment arm have exactly one session. What does that do to the cluster bootstrap's coverage, and how would you check it?

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.

Small steps. Visible outcomes.0 / 7 completed
ONE WEEK · YOUR PACE

Prepare, practise & reflect

One practical outcome each day. Spend longer where you need it.

0 / 7 done
01Build 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 ↗
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.

Most data work is done by groups, so an interviewer has to work out which piece was yours. An answer that runs on 'we' for several minutes gets interrupted with a question about what you personally did, and by then the answer sounds defensive even when it is true. Mark your own contribution as you go, and name the parts that belonged to someone else instead of leaving them ambiguous. Keep a few specifics back as well, like the name of the metric or who actually objected, so a probe can be answered with something you had not already said.

Describe a situation where you faced a significant challenge in your w…

medium
behavioural and stakeholder questions

Describe a situation where you faced a significant challenge in your work. How did you handle it?

Approach
  1. Pick a story where you drove the decision, not one where you observed it.
  2. State the situation in two sentences and spend the rest on your reasoning.
  3. Quantify the outcome, including what you would not claim credit for.
Follow-up
  • How did you know the outcome was caused by your change?
  • What would you do differently if you ran that project again?

Tell me about a project where you had to collaborate with cross-functi…

medium
behavioural and stakeholder questions

Tell me about a project where you had to collaborate with cross-functional teams. What was your role?

Approach
  1. Quantify the outcome, including what you would not claim credit for.
  2. Name the disagreement or constraint, and how you resolved it with evidence.
  3. 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?

Disagree with a product manager's roadmap claim using data

medium
causal inferenceselection biasstakeholder

A product manager proposes building a feature on the argument that accounts connecting an integration in week one retain three times better at week four. The figure is correctly computed from dim_user and fct_event, and it has already been shown to leadership. You have one scheduled 1:1 before the roadmap locks. Deliver the specific analysis you would run to test whether the relationship is causal, the result that would change your own mind, and how you open the conversation so that the PM is not put in the position of defending the number in public.

Approach
  1. Recognise what is being probed: whether you can separate a number being right from an inference being wrong, and do it without costing the PM face. The generic answer recites that correlation is not causation; the strong one names the specific confound and proposes the cheapest design that could distinguish the explanations.
  2. State the alternative concretely. Accounts that connect an integration in week one are accounts that already have a workflow and a technical owner, so week-one intent plausibly drives both the connection and week-four retention. The selection is on intent, which no amount of post-hoc adjustment observes.
  3. Order the discriminating analyses by cost. First, condition on pre-connection activity by comparing retention within strata of week-one core-action count, which removes the crude version of the confound but not unobserved intent. Second, look for variation in integration availability that was unrelated to intent, such as a staggered release or an outage window. Third, an encouragement design that randomises a prompt to connect and reads the intent-to-treat effect on week-four retention, which is the only version that identifies an effect.
  4. Run the timing check, because it is nearly free and it is the most persuasive single piece of evidence. If the retention advantage among connectors is already visible before any of them connected, the causal story is largely finished.
  5. Pre-commit to what would change your mind and say it before you show anything: if the gap survives stratification and the encouragement arm moves week-four retention at all, the feature has a case and you will say so.
  6. Open the 1:1 by agreeing with the true part, that the correlation is real and worth chasing, then ask what effect size the roadmap plan assumes. That makes the size of the claim the topic instead of its authorship.
Follow-up
  • The encouragement test needs six weeks and the roadmap locks in two. What do you recommend in the interim?
  • Stratifying on week-one activity closes half the gap. What do you conclude, and what do you still not know?
  • How would you word this in the roadmap document so the PM's original number is reframed rather than deleted?
  • 01

    Describe a situation where you faced a significant challenge in your work. How did you handle it?

  • 02

    Tell me about a project where you had to collaborate with cross-functional teams. What was your role?

  • 03

    A product manager proposes building a feature on the argument that accounts connecting an integration in week one retain three times better at week four. The figure is correctly computed from dim_user and fct_event, and it has already been shown to leadership. You have one scheduled 1:1 before the roadmap locks. Deliver the specific analysis you would run to test whether the relationship is causal, the result that would change your own mind, and how you open the conversation so that the PM is not put in the position of defending the number in public.

PracHub interview preparation framework ↗
Is this an official PROS interview guide?

No. It is PracHub's own research and practice material for the Data Scientist role at PROS. Rounds and questions reflect what candidates have reported, not a process PROS has published, and they change over time. Confirm the current format and scope with your recruiter.

PracHub interview research ↗
What is the typical difficulty level of the interviews?

The interviews are designed to be challenging, focusing on both technical knowledge and problem-solving abilities. Candidates should prepare for a rigorous evaluation process.

PracHub interview research ↗
How much preparation time is typically needed?

Candidates often find that dedicating 2–4 weeks to intensive preparation allows them to cover essential topics adequately and feel confident in their abilities.

PracHub interview research ↗
What differentiates successful candidates at PROS?

Successful candidates demonstrate not only technical expertise but also the ability to communicate complex ideas clearly and collaborate effectively with diverse teams.

PracHub interview research ↗
What is the culture like at PROS?

PROS fosters an innovative and collaborative environment where data-driven decision-making is encouraged. Teamwork and open communication are key values that support the company's mission.

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.