Tech Mahindra Data Scientist Interview Questions & Guide 2026

The 60-second brief

At Tech Mahindra, the Data Scientist role supports the company's mission to drive digital transformation for global enterprises. Beyond building models, you architect solutions that help Tech Mahindra's clients navigate the complexities of the Nxt.NOW framework. By leveraging massive datasets across industries like Telecommunications, Manufacturing, and Banking, you provide the intelligence that fuels automated decision-making and enhances customer experiences at scale.

Ask early whether the loop includes an asynchronous take-home or a timed live case, because the two are graded on different things. A take-home is read as an artifact: the question you decided to answer, what you did about missing or malformed records, and a conclusion stated plainly enough for someone to act on. A reviewer who cannot rerun your notebook discounts the result whatever score is printed in it. Hold to the stated time box and write down what you would have done with more of it, since the follow-up round is usually a live defence of the same work.

Focus areas

• Analyse at the account grain, cluster errors
• Read NRR on a fixed account cohort
• Strip CI, retry and synthetic traffic first

Overview

Your work will directly impact how Tech Mahindra delivers innovative services to Fortune 500 companies. Whether you are optimizing network performance for a major carrier or developing predictive maintenance models for a global manufacturer, your insights translate into tangible business value. This role requires a blend of deep technical rigor and the ability to tell a compelling story through data, ensuring that complex algorithmic outputs are accessible to business stakeholders.

The environment is fast-paced and demands a high degree of ownership. You will work within diverse, cross-functional teams, collaborating with,, and to move projects from conceptualization to production. For a candidate who thrives on variety and large-scale impact, this position offers a unique opportunity to apply advanced analytics to some of the world's most challenging industrial and commercial problems.

The Tech Mahindra interview process

Tech Mahindra candidates report 3 rounds · ≈ 3-5 weeks. The stages below are what candidates describe, not a published process.

Technical Screening

A 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

One-on-One Technical Deep Dives

Before anything else, this round is a reading test. You are given a small schema and a question phrased in business language, and most of the difficulty sits in the gap between them. Who counts as an active user, does a refunded order still count as an order, is that date column an event time or a load time. Weak answers start typing immediately and compute something precise about the wrong population. Strong ones pin the definition in one sentence, name the column that encodes it, then write the query. On a timed assessment with nobody to tell, write the definition in a comment anyway.

What to demonstrate

• Whether an ambiguous term becomes a specific column and filter before any computation happens
• Whether you read the schema for keys and cardinality rather than only for column names
• Whether the result answers the question at the grain it was asked at, per user or per session or per day

How to prepare

• Take three metrics you already use and write down the exact filter and exact grain behind each, then practise stating one of them in a single sentence out loud
• On a schema you have never seen, spend the first minute writing what one row of each table means and which key it is unique on, then predict which joins can duplicate rows
• Rehearse a version where the definition changes halfway through, and edit the query you have instead of starting over

Final Managerial Discussions

Where a loop includes a partner from outside the data team, that conversation usually carries the same weight as the technical ones and gets the least preparation. The person opposite you will not follow a derivation and does not need to. They are working out whether having you involved would make their decisions better or slower. The failure mode is not being too technical. It is answering a question about a decision with a description of your method, leaving the translation to them. What they carry into the debrief is the sentence you handed them, not the analysis underneath it.

What to demonstrate

• Whether a statistical result arrives as something the partner could act on, with the one caveat that would change their decision kept and the rest left out
• Whether you can state what you need from their side, in their terms: instrumentation that does not exist yet, a definition they own, or a holdout they have to agree to
• Whether uncertainty is given as a range someone can plan against, rather than as hedging that invites them to ignore the result
• Whether you ask what decision is actually on the table before explaining anything

How to prepare

• Take a result you know well and write the version for someone who stops reading after one sentence, then the three-minute version, and check the short one is not the long one with the qualifications stripped out
• For a past project, list everything you asked a non-technical partner for and how you phrased it, then rewrite each ask so it names what goes unmeasured without it
• Practise saying where a result does not apply, out loud, in one sentence that a partner could repeat accurately to someone else

Where candidates lose points

Reading consumption metrics before the metering lag window has closed

Usage pipelines land late and correct themselves, which is exactly what is_restated and restated_at record. A dashboard queried on day T sees a partially populated tail for the last several days, so the most recent points always slope downward and always look like a regression. Analysts then explain the artefact, and sometimes ship a change to fix it. Establish the empirical settling time by measuring how much a given usage_date's total moves between first_written_at and its final value, exclude that many trailing days from every reportable figure, and never compare a fresh period against a settled one.

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.

Analysing at a different unit than the one randomised

Say out loud what was randomised (user, device, account, cluster) and make the analysis unit match, or account for the clustering with cluster-robust standard errors, the delta method, or aggregation up to the randomised unit. Randomising users and then running a test over sessions understates variance and inflates the false-positive rate.

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.

Questions & practice

What is the significance of the Central Limit Theorem in data analysis?

Medium · statistics and probability

Approach

1. Quantify uncertainty explicitly rather than reporting a point estimate alone.
2. Say what the estimate is of, and over what population it generalises.
3. Sanity-check the answer against a simple bound or a simulated case.

Follow-up

• How would you explain this result to someone who does not know statistics?
• Which assumption here is most likely to be violated in practice?

How do you validate a time-series model to ensure it isn't overfitted to past data?

Medium · machine learning and modelling

Approach

1. Pick an evaluation metric that matches the cost of each error type, not a default.
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?

Bootstrap a confidence interval for net revenue retention

Medium · bootstrap · retention · resampling

You have one row per account with arr_start_cents (ARR twelve months ago) and arr_end_cents (ARR today, zero if churned), covering the fixed cohort of accounts that had ARR twelve months ago. Net revenue retention is sum(arr_end_cents) / sum(arr_start_cents). Write a nonparametric bootstrap from scratch, without scipy.stats.bootstrap: resample accounts with replacement, recompute the ratio of sums on each resample, and return the point estimate with a 95% percentile interval from 10,000 resamples. Also report the interval you would get from the mean of per-account ratios, and explain the difference.

Approach

1. Resample the account, because the account is the unit the estimand is defined over. One bootstrap draw is a vector of account indices and both numerator and denominator are recomputed from that same draw; resampling the two sides independently destroys the within-account correlation that makes a ratio estimator stable.
2. Vectorise the draws: idx = rng.integers(0, n, size=(B, n)), then end[idx].sum(axis=1) / start[idx].sum(axis=1). A 10,000 by n index matrix is usually far cheaper than a Python loop; if the matrix is too large for memory, chunk over B rather than reverting to a loop.
3. Take the interval from np.quantile(ratios, [0.025, 0.975]). The percentile interval differs from estimate +/- 1.96 * bootstrap SE whenever the resample distribution is skewed, which it will be here, and the skew is the thing you want represented.
4. Compute the mean-of-ratios version on the same resamples, and state the exact relationship rather than guessing which of the two is larger. With r_i = arr_end_i / arr_start_i, the ratio of sums is the arr_start-weighted mean of exactly those r_i, so sum(end)/sum(start) - mean(r) = Cov(arr_start, r) / mean(arr_start) using the population covariance. The gap is positive when larger accounts retain and expand better than smaller ones, and negative when they do not; a cohort whose small accounts churn at a higher rate has positive covariance, which puts the mean of per-account ratios BELOW the ratio of sums. Requires arr_start_i > 0 for every account, which the fixed-cohort definition guarantees; r_i is floored at 0 and unbounded above, so a handful of 4x expansions among small accounts can flip the sign. Compute the covariance and report it instead of asserting a direction.
5. Report the interval width beside the concentration of the cohort. If the largest account is 12% of starting ARR, a narrow interval is evidence that the resampling unit is wrong rather than evidence that the estimate is precise.

Worked solution (30 min)

1. start = df.arr_start_cents.to_numpy(float); end = df.arr_end_cents.to_numpy(float); n = len(start); point = end.sum() / start.sum()
2. rng = np.random.default_rng(7); idx = rng.integers(0, n, size=(10_000, n)); ratios = end[idx].sum(1) / start[idx].sum(1)
3. lo, hi = np.quantile(ratios, [0.025, 0.975]); return point, lo, hi
4. per_acct = end / start; mean_point = per_acct.mean(); mean_boot = per_acct[idx].mean(1); compare np.quantile(mean_boot, [0.025, 0.975]) against (lo, hi), and report np.cov(start, per_acct, ddof=0)[0,1] / start.mean() as the quantity that accounts for the gap between the two centres.

Expected result: A point estimate equal to sum(end)/sum(start) on the unresampled data — the bootstrap mean is close but must not be substituted for it — and a percentile interval that is asymmetric around the point when expansion is skewed. The mean-of-ratios interval is centred on a different estimand, and which side it falls on is decided by Cov(arr_start, r): it sits below the ratio of sums in the common case where small accounts churn at a higher rate than large ones, and above it when the large accounts are the ones shrinking. Its width is governed by the spread of per-account growth, while the ratio-of-sums width is governed by how concentrated starting ARR is, so neither interval is reliably the wider one.

Verify it yourself

• point equals sum(end)/sum(start) computed directly on the original arrays, and point - per_acct.mean() equals np.cov(start, per_acct, ddof=0)[0,1] / start.mean() to floating-point tolerance. That is an algebraic identity, not an empirical claim: a mismatch means the per-account ratios or the weights are wrong, and the sign of it tells you which of the two numbers is larger before you look.
• np.median(ratios) sits within a small fraction of a point of the point estimate; a large gap indicates a wrong resampling unit or a transposed index matrix.
• Raising B from 10,000 to 20,000 moves the endpoints by far less than the interval width.
• Setting every arr_end equal to its arr_start gives point == 1.0, per_acct.mean() == 1.0, a zero covariance term and a zero-width interval.

Follow-up

• The cohort has 800 accounts and the largest is 12% of starting ARR. How much do you trust a percentile interval here?
• How would you extend this to an interval on the year-over-year change in NRR?
• Two accounts merged mid-window and one contract was co-termed into the other. How do you keep the cohort fixed?

Write a Python script to remove duplicate entries from a list while maintaining order.

Medium · sql and data manipulation

Approach

1. Handle the rows that do not match: a LEFT JOIN with a NULL check is usually the question.
2. Compute rates by summing numerator and denominator separately, never by averaging rates.
3. State the window function and its partition and ordering out loud before writing it.

Follow-up

• How does the query change if the join becomes one-to-many?
• How would you verify this result without re-running the same query?

Explain the difference between a WHERE clause and a HAVING clause in SQL.

Medium · sql and data manipulation

Approach

1. Handle the rows that do not match: a LEFT JOIN with a NULL check is usually the question.
2. State the window function and its partition and ordering out loud before writing it.
3. Compute rates by summing numerator and denominator separately, never by averaging rates.

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?

Describe the use of decorators in Python and provide a use case in a data pipeline.

Medium · sql and data manipulation

Approach

1. Compute rates by summing numerator and denominator separately, never by averaging rates.
2. Say which table is the grain you start from, and join outward from it.
3. State the window function and its partition and ordering out loud before writing it.

Follow-up

• How would you verify this result without re-running the same query?
• What breaks if events arrive late or out of order?

Find paid seats that never called the API

Easy · anti-join · null semantics · seat utilisation

dim_user_membership carries user_id, account_id, seat_type, is_service_account, deactivated_at and last_seen_at. fct_api_request carries user_id, which is null whenever the caller is a service account or an unattended key, plus account_id, request_at and http_status. For a single account, list every licensed_paid seat with is_service_account = false and deactivated_at null that issued no request at all in the trailing 90 days, returning user_id and last_seen_at. A first draft writes NOT IN against a subquery over fct_api_request.user_id. State exactly what that draft returns and why, then write the correct query.

Approach

1. Read the column comment first: user_id is nullable on the fact, so the subquery almost certainly contains at least one NULL for any account that runs a service account or an unattended key.
2. Work the three-valued logic out loud. x NOT IN (a, NULL) expands to NOT (x = a OR x = NULL); the second disjunct is UNKNOWN, so for any x not equal to a the whole predicate is UNKNOWN and the row is filtered out. The draft returns zero rows, which reads as full seat utilisation.
3. Rewrite as NOT EXISTS with the 90-day and status predicates inside the correlated subquery. Putting them in the outer WHERE instead turns the anti-join into a different question and silently changes the answer.
4. Correlate on both user_id and account_id. A membership is (user_id, account_id) and one person can hold memberships in several accounts, so correlating on user_id alone marks a seat as active because that human was busy somewhere else.
5. Filter the seat side to seat_type = 'licensed_paid', is_service_account = false and deactivated_at IS NULL, and say what the resulting count means next to contracted_seats on the current subscription row.

Worked solution (15 min)

1. Confirm the hazard with one query: SELECT count(*) FROM fct_api_request WHERE user_id IS NULL AND account_id = :account_id. Any non-zero result proves the draft returns nothing.
2. Write the seat side: SELECT user_id, last_seen_at FROM dim_user_membership WHERE account_id = :account_id AND seat_type = 'licensed_paid' AND NOT is_service_account AND deactivated_at IS NULL.
3. Attach AND NOT EXISTS (SELECT 1 FROM fct_api_request r WHERE r.user_id = m.user_id AND r.account_id = m.account_id AND r.request_at >= now() - interval '90 days').
4. Compare the row count against the same query written as a LEFT JOIN with a WHERE r.user_id IS NULL; the two must agree exactly.
5. Divide the active seat count by contracted_seats from the account's current fct_subscription_period row and state the utilisation figure.

Expected result: A list of user_id and last_seen_at for licensed, non-service, active memberships on that account with no request in 90 days. The NOT IN draft returns zero rows whenever the account has any service-account or unattended-key traffic, and returns the right answer only by accident on accounts that have none.

Verify it yourself

• The NOT EXISTS result and the LEFT JOIN ... IS NULL result return identical user_id sets.
• Idle seats plus seats with at least one request in 90 days equals the total licensed non-service active membership count for the account.
• Forcing a NULL into the subquery (union a SELECT NULL) leaves NOT EXISTS unchanged and empties the NOT IN version, which demonstrates the failure on demand.

Follow-up

• Adding AND user_id IS NOT NULL to the subquery also fixes NOT IN. Why is NOT EXISTS still the form you would leave in the repository?
• last_seen_at looks like a shortcut for the whole query. What does it actually record, and where does it disagree with API activity?
• This is a seat-reduction risk list. What threshold would you attach before handing it to an account team, and what happens to seats below it?

How do you prioritize tasks when working on multiple high-priority projects simultaneously?

Medium · product sense and metrics

Approach

1. Decompose the metric into the rates that drive it, and say which one you would check first.
2. Restate the decision this analysis has to support, and who acts on the answer.
3. 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?

Explain the difference between bagging and boosting.

Medium

Approach

1. Work from the decision backwards to the evidence you would need.
2. Say what you would check first and why it is the highest-information step.
3. State your assumptions explicitly before working the problem.

Follow-up

• How would you know your answer was wrong?
• What assumption would you test first?

Triage a sample ratio mismatch before reading the result

Easy · srm · assignment · instrumentation

An account-randomised test assigned arms 50/50 by hashing account_id. Exposure logging recorded 4,200 accounts: 1,987 in treatment and 2,213 in control. A chi-square goodness-of-fit test against the intended 2,100/2,100 split gives chi-square(1) = 12.2, p about 0.0005. The analyst reports the primary metric up 6% in treatment and asks to ship. Explain what the imbalance implies about that 6%, rank the causes you would investigate first given this domain's data, and name for each the single query against fct_api_request or dim_account that confirms or eliminates it.

Approach

1. State the rule before diagnosing anything: a sample ratio mismatch below a 0.001 alarm threshold invalidates the readout. Whatever mechanism removed 113 accounts from one arm almost certainly removed them non-randomly, which makes it a selection effect on the outcome. The 6% is not to be adjusted, caveated or shipped; it is unusable until the mechanism is named.
2. Verify the test is testing the right thing. chi-square = (1987 - 2100)^2 / 2100 + (2213 - 2100)^2 / 2100 = 6.08 + 6.08 = 12.16 on one degree of freedom. Confirm the denominator is the intended assignment count rather than the observed total, and that you are testing assignment rather than an analysis population that has already been filtered.
3. Rank causes by how this domain actually breaks rather than by textbook order: is_internal accounts filtered after assignment instead of before; exposure logged on a code path that returns 5xx more often in one arm, silently dropping those accounts; assignment recorded at first request but exposure at a later event, so accounts that churned in between appear in only one arm; dim_account type-2 versioning giving one account_id two surrogate keys and two hash inputs; deployment_model = 'self_hosted' accounts that never emit exposure telemetry at all.
4. Attach one discriminating query to each: count arms before the is_internal filter; compare the http_status >= 500 rate by arm on the exposure endpoint in fct_api_request; compare the distribution of created_at and churned_at by arm in dim_account; count distinct account_sk per account_id inside the experiment window; cross-tabulate arm against deployment_model.
5. Compare counts at three fixed stages, assignment, first exposure, and analysis population, and localise the divergence to one of them. The stage where the arms first separate names the subsystem, and everything downstream of it is a symptom.
6. Report the outcome as abort, fix, rerun, and be explicit about what survives: the variance estimate for re-powering, the instrumentation fix, and nothing whatsoever about the effect size.

Worked solution (20 min)

1. Recompute the statistic: two terms of 113^2 / 2100 = 6.08, total 12.16, p about 0.0005 on one degree of freedom, below the 0.001 alarm line.
2. Pull arm counts at assignment, at first exposure, and in the analysis population, and find the first stage at which they diverge.
3. At that stage, cross-tabulate arm against is_internal, deployment_model, and the 5xx rate on the exposure endpoint.
4. Write the abort note naming the mechanism, the corrected code path, and the rerun date, with the effect estimate explicitly withheld.

Expected result: chi-square(1) = 12.16, p about 0.0005, so a 0.001 alarm threshold fires and the readout is abandoned. The divergence is localised to a single pipeline stage by comparing arm counts at assignment, at exposure and at analysis, and the most likely causes in this domain are post-assignment internal-account filtering or exposure logging that fails asymmetrically on 5xx responses.

Verify it yourself

• A 113-account shortfall on 2,100 expected is a 5.4% deficit in one arm, which under a sound hash is roughly a 1-in-2,000 event. That is what the 0.001 threshold is calibrated to catch.
• Counts at the assignment stage should already be balanced if the bucketing is correct. If they are not, the bug is in the hash or the salt, not in the logging.
• Any fix that restores balance by filtering on a variable measured after exposure has conditioned on a post-treatment variable and reintroduces the bias it appears to remove.

Follow-up

• The imbalance disappears once you restrict to accounts with at least one successful request. Does that fix the experiment or confirm the bug?
• What alarm threshold would you set for this check, and why is 0.05 the wrong one for a diagnostic you run on every experiment every day?
• How would you detect a mismatch confined to one segment while the overall split looks clean?

Net revenue retention jumps sixteen points in one month

Medium · versioned tables · fan-out · metric definition

Trailing-twelve-month net revenue retention printed around 108 percent for months and now reads 124 percent, with no unusual deals closed. The query sums arr_cents from fct_subscription_period (account_id, arr_cents, term_start_date, term_end_date, amendment_type, superseded_by_id, is_current, booked_at) filtered on is_current = true at month M, across accounts holding arr_cents > 0 at month M-12. Find the defect, correct the number, and rewrite the definition so the next person cannot reintroduce it.

Approach

1. Audit the grain before the arithmetic: count account_ids holding more than one row with is_current = true and superseded_by_id null. A versioned contract table that double counts one amendment batch inflates the numerator while leaving the denominator untouched.
2. Replace is_current with an as-of selection on both dates, taking the version whose term_start_date and term_end_date bracket the reporting date and tie-breaking on latest booked_at. The numerator is read as of M and the denominator as of M-12; neither uses today's live version.
3. Verify the cohort is frozen. The account set is fixed at M-12 and nothing acquired since may enter the numerator, so check that no join to a current-period table quietly re-admits new accounts.
4. Confirm the estimand is a ratio of sums rather than a mean of per-account ratios. Contraction is floored at zero while expansion is unbounded, so the two constructions differ systematically and the second is far noisier.
5. Reissue the definition with the failure modes written into it: exactly one row per account per date by construction, cohort frozen at M-12, churned accounts contributing zero rather than dropping out of the numerator.

Follow-up

• A churned account should contribute zero rather than disappear. What does the ratio do under each treatment, and which one is correct?
• How would you unit-test this metric so a future amendment batch with the same defect fails a check instead of reaching a board slide?

Suggested practice checklist

Four days spend equal time on query work, statistics, modelling and product judgement at deliberately shallow depth, which produces a scored map of where you actually stand. The last three days spend everything on the two areas the role weights most, and close by re-running day one to measure movement.

Day 1 — Breadth pass: query fluency

• Solve six prompts spanning aggregation, joins, window functions and date arithmetic in 60 minutes total, stopping at 10 minutes each whether or not it works, and mark every prompt as solved, solved slowly, or stuck.
• For each unsolved prompt write the single blocking sentence (I lost the grain, I did not know the frame clause, I could not express the date boundary) instead of reading the solution.
• Translate one pandas transformation you know well into SQL and one SQL query into pandas, checking that both return the same row count and the same totals.

Deliverable: A scored six-row table, one line per prompt, saved for the day-seven re-run.

Day 2 — Breadth pass: statistics and inference

• Answer ten short questions in writing with nothing open: what a p-value is conditional on, what a 95 percent interval covers across repeated samples, when a paired test is the right one, what the bootstrap estimates, why multiple comparisons inflate false positives, how controlling the family-wise error rate differs from controlling the false discovery rate, what power depends on, what a missed real effect costs a product, the three situations where the central limit theorem does not rescue you (small n, very heavy tails, dependent observations), and what a standard error is the standard deviation of.
• Grade yourself against a reference and count only the answers that were exactly right, not the ones that were nearly right.
• Rewrite the two weakest answers the following morning from memory in full sentences.

Deliverable: Ten graded answers with an honest count of exact hits.

Day 3 — Breadth pass: modelling

• Take one tabular dataset end to end in 90 minutes: a leakage-safe split, a baseline that is not a model (majority class or historical mean), one regularized linear model, one gradient-boosted tree, and a single evaluation metric chosen before you look at any result.
• Write why that metric fits the cost structure: precision at a fixed recall for alerting, calibration for anything feeding a price or a threshold, ranking metrics for retrieval, and note that area under the ROC curve is insensitive to class balance in a way that can flatter a rare-positive problem.
• Name the leak you were most likely to introduce (an encoding fit on all rows before splitting, or a feature computed after the label's timestamp) and write the check that would have caught it.

Deliverable: A notebook whose first cell states the metric and the baseline, plus two lines on what beat what and by how much.

Day 4 — Breadth pass: product judgement

• Answer three case prompts aloud at 15 minutes each, timing how long passes before you state a success metric.
• For one case write the first segmentation you would run and the row counts you expect per segment, so that a tiny segment cannot quietly drive the conclusion.
• Take a metric definition you did not write, from a public dashboard, a textbook, or documentation you already have open, and list every place two analysts implementing it would diverge: which rows the denominator admits, whether the unit is an account or a person, what the time window is anchored to, and what happens to data that arrives late. Then write the one question that would close the largest of those gaps.

Deliverable: Three recorded case answers plus an ambiguity list for a metric someone else defined, ending in the single question you would ask about it.

Day 5 — Depth, first area

• Rank the four areas by how many bullet points in the role description each one covers, pick the top one, and spend the entire day inside it.
• Work the six hardest problems you can find in that area and for each write the generalizable move you should have reached for first, rather than the answer.
• Re-solve the two you failed the same evening with notes closed.

Deliverable: Six generalizable moves written as instructions to yourself, not as solutions.

Day 6 — Depth, second area, and the seam between them

• Repeat the depth protocol on the second-ranked area with the same six-problem structure.
• Construct one problem that requires both areas at once, for example a metric redefinition whose effect you must validate with a test whose readout you then have to query.
• Solve your own combined problem end to end and note where the handoff between the two areas cost you time.

Deliverable: One combined problem, solved end to end, with the handoff failure written down.

Day 7 — Integration and re-measurement

• Re-run the six prompts from day one under the same clock and compare both correctness and time.
• Run a 60-minute mixed mock that moves between areas without warning, since switching cost is what breadth passes do not train.
• Write the two areas you would still fail on, and the sentence you will use in the interview when you hit one of them.

Deliverable: A before-and-after score table plus a written plan for the two remaining gaps.

Being wrong in public

A number you shipped turned out to be wrong, and someone had already acted on it. That is one of the most useful stories a data person can carry. What is being scored is how fast you noticed, who you told first, and what you changed in the process so the same class of error could not repeat quietly.

How do you handle a situation where a stakeholder disagrees with your model's findings?

Medium · behavioural and stakeholder questions

Approach

1. Quantify the outcome, including what you would not claim credit for.
2. Pick a story where you drove the decision, not one where you observed it.
3. Name the disagreement or constraint, and how you resolved it with evidence.

Follow-up

• What did you decide not to do, and why?
• How did you know the outcome was caused by your change?

Describe a time you had to perform feature selection for a high-dimensional dataset.

Medium · behavioural and stakeholder questions

Approach

1. State the situation in two sentences and spend the rest on your reasoning.
2. Pick a story where you drove the decision, not one where you observed it.
3. Quantify the outcome, including what you would not claim credit for.

Follow-up

• What did you decide not to do, and why?
• How did you know the outcome was caused by your change?

Report an underpowered consumption test to a non-technical executive

Medium · communication · uncertainty · experimentation

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

1. 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.
2. 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.
3. 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.
4. 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.
5. 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?