Interview guides · Birlasoft

Birlasoft Data Scientist Interview Questions & Guide 2026

Diagnose a metric move for Birlasoft data scientist prep: split by segment, rule out a logging change, separate mix shift from behaviour.

The 60-second brief

As a Data Scientist at Birlasoft, you hold a central role in the company's digital transformation work. You are not just a model builder; you are a strategic partner who translates complex business challenges into scalable, data-driven solutions. Birlasoft operates at the intersection of domain expertise and cutting-edge technology, meaning your work will directly impact global clients across industries like Manufacturing, Life Sciences, Energy, and Utilities.

How much statistics you need depends on the flavour of the seat. Experiment-facing work wants you deep enough to notice that repeated looks at accumulating data inflate the false positive rate of a fixed-sample test; modelling-facing work wants estimation and honest uncertainty intervals.

Focus areas

Separate contracted seats from actively used seats
Power experiments for heavy-tailed account revenue
Measure churn only on renewal-eligible accounts

Overview

The impact of this position is felt through the development of high-impact intellectual property and the deployment of advanced analytics that drive operational efficiency. Whether you are optimizing supply chains, developing predictive maintenance algorithms, or implementing Generative AI frameworks, your contributions help Birlasoft's clients handle the complexities of the modern digital landscape. You will work in an environment that values technical rigor and the ability to articulate the "business story" behind the data.

Success in this role requires a blend of deep mathematical foundations and a forward-looking approach to technology. The role calls for individuals who can move beyond theory to deliver production-ready code. You will be expected to influence product roadmaps and mentor junior team members, keeping Birlasoft's data science practice current with the industry.

The Birlasoft interview process

Birlasoft candidates report 4 rounds · ≈ 3-5 weeks. The stages below are what candidates describe, not a published process.

Technical Screening

This round decides whether someone can hand you a schema and a question and trust the number that comes back. Correctness under a clock is the bar, not clever syntax. The habit that separates strong from weak answers is checking the grain: after every join, know how many rows you expect and whether the count moved. Most wrong answers in this format are not wrong logic, they are a fan-out from a key that turned out not to be unique, or a filter applied before an aggregate when it belonged after. Say what you expect before you run it.

What to demonstrate

Whether your row counts survive each join, and whether you notice on your own when they do not
Deliberate handling of rows that fail to match, including whether the question needs an inner join or a left join with the non-matches kept and counted
Whether NULLs are treated on purpose, given that a NULL compares equal to nothing and that COUNT of a column skips it
Reaching a defensible answer inside the window instead of a refined one after it

How to prepare

Take a two-table schema, write a join that fans out on purpose, then fix it by collapsing the many-side to one row per key before joining. Repeat until the fix is reflex rather than recall.
Write a funnel as one query and print the distinct user count at each stage, then confirm each stage is a subset of the one above it rather than assuming it
Do a few timed runs in a plain text box with no autocomplete and no formatter, since assessment editors often have neither

Deep-Dive Technical Discussion

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

Leadership and Strategic Conversations

Because the format is not fixed, prepare the reasoning rather than the ritual. Nearly every version of this round draws on the same underlying material: a design you can defend, a metric you can define exactly, an analysis whose assumptions you can state out loud. Only the wrapper changes, whether that is a take-home, a live case, a deep dive on past work, or a rough estimate on a whiteboard. Answers rehearsed to fit one shape stall the moment the shape differs. Practise naming the assumption behind a number, then saying how much the conclusion moves if that assumption is wrong.

What to demonstrate

Whether your justification for a method survives the question 'why not the simpler thing', including when the simpler thing would have worked
Precision under pressure: what exactly counts as an active user, a conversion or a success, over what window, with what exclusions
Whether you carry an argument through to a recommendation instead of stopping at a list of tradeoffs

How to prepare

For each project you plan to mention, write the metric definition in one sentence: numerator, denominator, time window, exclusions. Say it out loud once, because vagueness shows up in speech before it shows up on paper.
Rehearse the same project at three lengths: two minutes, ten minutes, and a deep dive on one technical decision. Cutting live is harder than it sounds.
For your headline result, write down what would have had to be true for it to be wrong, and how you ruled that out.

Final Leadership and HR Discussions

A loop is not scored one interview at a time. The people you meet compare notes afterwards, usually in a meeting you are not in, and the outcome turns on what each of them can say about you when asked. That rewards something other than survival: every room needs one specific thing worth repeating, and none of them can contradict another. The common way to lose is to tell the same project four times with different numbers in it, or to be uniformly fine in a way that leaves nobody with anything to argue for.

What to demonstrate

Whether your account of a project survives being told twice, with the same scale, the same metric definition and the same numbers each time
Whether each interviewer leaves with one concrete claim they could make on your behalf later, rather than an absence of complaints
Whether a question you already answered in an earlier room gets the same answer at the same depth, without visible impatience

How to prepare

Write a one-page fact sheet for your two or three main projects that fixes the numbers you will quote: rows of data, the metric as a single sentence, the effect you measured and how long the work took. Say them aloud from the sheet until they come out identical every time
For each kind of room you expect, decide the one sentence you want that interviewer repeating in a debrief, then check during the mock that you said it outright instead of implying it
Rehearse answering the same project question twice in one sitting, the second time as though you had not just answered it, because the thing that needs fixing is the flatness that creeps into a repeated story

Where candidates lose points

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.

Writing SQL without stating NULL and tie-breaking behaviour

Before calling a query finished, say what it does with NULLs, ties and empty groups. NOT IN against a subquery containing a single NULL returns no rows at all, and RANK, DENSE_RANK and ROW_NUMBER differ precisely on ties, so name which one the question requires.

Dropping rows with missing values without naming the mechanism

Say whether the values are missing at random, missing by a known process, or missing in a way that depends on the outcome, and handle them accordingly. Deleting incomplete rows silently redefines the population whenever missingness correlates with what you are measuring.

Questions & practice

Explain the bias-variance tradeoff and how it relates to model complexity.

Medium · machine learning and modelling

Approach

Say how the offline result would be validated online before it is trusted.
Pick an evaluation metric that matches the cost of each error type, not a default.
Frame the prediction: the label, the moment of prediction, and the action it triggers.

Follow-up

How would you choose the decision threshold, and who owns that choice?
What would you monitor after launch to know the model is still valid?

Describe the process of quantizing a model for edge deployment.

Medium · machine learning and modelling

Approach

Pick an evaluation metric that matches the cost of each error type, not a default.
Check what information would not exist at prediction time, and exclude it.
Set a baseline first, so any model has something honest to beat.

Follow-up

What would you monitor after launch to know the model is still valid?
Where could label leakage enter this setup?

What are the assumptions of linear regression, and what happens if they are violated?

Medium · machine learning and modelling

Approach

Frame the prediction: the label, the moment of prediction, and the action it triggers.
Say how the offline result would be validated online before it is trusted.
Set a baseline first, so any model has something honest to beat.

Follow-up

How would you choose the decision threshold, and who owns that choice?
What would you monitor after launch to know the model is still valid?

Permutation-test a consumption experiment randomised at account level

Hard · permutation-test · heavy-tails · cuped · experiment-readout

An experiment randomised 900 accounts into two arms. You have one row per account: account_id, arm, consumption_28d (billable units after launch) and consumption_pre (the 28 days before). Consumption is heavy-tailed and the largest account is several percent of the total. Write a permutation test from scratch: winsorise at the pooled 99th percentile as a pre-registered rule, use the difference in arm means of the winsorised outcome as the statistic, and obtain a two-sided p-value from 20,000 relabellings of the account-level arm vector. Report the observed effect, the p-value, and the same test on a CUPED-adjusted outcome.

Approach

Be precise about what the permutation test needs. Under the sharp null of no effect for any account, the outcomes are exchangeable across arm labels, and the test is valid for ANY statistic T(outcomes, labels) provided the identical function is applied to the observed labels and to all 20,000 relabellings. The pooled 99th percentile is a function of the outcome vector alone, so recomputing it inside the loop returns the same number 20,000 times: that is wasted CPU, not a bias, and hoisting it out is an optimisation rather than a correctness fix. Say plainly that capping at all changes the estimand from mean consumption to mean capped consumption; it is not a neutral cleaning step.
The mistake that does invalidate the test is an asymmetry between the observed statistic and the permuted ones, and the easiest way to create it is to derive the cleaning rule from the observed arm labels and then freeze it — winsorise each arm at its own observed 99th percentile, hold those two caps fixed, and permute. The observed value is then computed with caps matched to its own partition while every relabelling is scored with caps belonging to a different one, so the null distribution no longer answers the question the p-value claims to answer. A per-arm cap recomputed consistently inside every permutation is a valid test, but it estimates a contrast whose two sides are capped at different thresholds, so prefer the pooled cap on estimand grounds and pre-register it.
Permute the account-level arm vector, because the account is the randomisation unit. Relabelling anything finer — users, workspaces, requests — generates a null distribution narrower than the design actually supports and returns p-values that are anti-conservative.
Vectorise the null: tile the treatment indicator into a (B, n) matrix and permute along axis 1 with rng.permuted(..., out=...). The statistic is a difference of means, so the treated sum alone determines it and the whole null is one matrix-vector product. Use the two-sided p-value (1 + count(|stat_perm| >= |stat_obs|)) / (B + 1); the plus-one on each side is not cosmetic, it keeps the p-value away from exactly zero and keeps the test valid at finite B.
For CUPED, fit theta = cov(y, x) / var(x) on the pooled data and use that same theta for the observed statistic and every relabelling. Pooled theta, like the pooled cap, carries no label information, so where in the loop you compute it is again only a performance question; fitting theta within arms is what goes wrong, because the adjusted outcome then depends on the labels and an observed-label fit frozen across all 20,000 relabellings breaks the match between observed and permuted statistics. x must be measured entirely before launch, which consumption_pre is. Expected variance reduction is about 1 - corr(y, x)^2; measure the achieved reduction from the two null distributions rather than asserting it.

Worked solution (45 min)

cap_y = np.quantile(df.consumption_28d, 0.99); y = np.minimum(df.consumption_28d.to_numpy(float), cap_y); cap_x = np.quantile(df.consumption_pre, 0.99); x = np.minimum(df.consumption_pre.to_numpy(float), cap_x)
t = (df.arm == 'treatment').to_numpy(); n1 = int(t.sum()); n0 = len(t) - n1; obs = y[t].mean() - y[~t].mean()
rng = np.random.default_rng(11); L = np.tile(t.astype(np.int8), (20_000, 1)); rng.permuted(L, axis=1, out=L); s1 = L @ y; stats = s1/n1 - (y.sum() - s1)/n0
p = (1 + int(np.sum(np.abs(stats) >= abs(obs)))) / (20_000 + 1)
theta = np.cov(y, x, ddof=1)[0,1] / np.var(x, ddof=1); y_adj = y - theta*(x - x.mean()); repeat steps 2 to 4 on y_adj and compare stats.std(ddof=1) between the two runs.

Expected result: A two-sided p-value strictly between 1/20001 and 1, an observed effect expressed in capped billable units per account, and a CUPED null whose standard deviation is smaller than the unadjusted one by roughly sqrt(1 - corr(y, x)^2). The CUPED point estimate stays close to the unadjusted one, since the adjustment removes variance rather than shifting the effect.

Verify it yourself

The permutation null is centred near zero: |mean(stats)| is a small fraction of std(stats).
An A/A run, relabelling arm at random before the test and repeating over seeds, gives roughly uniform p-values with about 5% below 0.05.
std(stats_cuped) < std(stats) whenever corr(y, x) is materially non-zero, and the ratio matches sqrt(1 - r^2) to within simulation noise.
Moving the pooled cap computation inside the permutation loop reproduces the same p-value bit for bit at the same seed — the direct demonstration that a pooled cap carries no label information — while setting the cap to infinity reproduces the uncapped test exactly, so the winsorisation switch is independently verifiable.

Follow-up

The p-value is 0.04 with the cap and 0.31 without it. What do you report, and what did you pre-register?
Colleagues in a shared workspace can see the treated behaviour. How does that change the design and the estimate?
How many accounts would you need to detect a 5% lift given this outcome's distribution?

Seven-day activation rate by signup cohort week

Easy · funnel · cohorts · censoring

dim_account carries account_id, created_at, is_internal and is_current; fct_api_request carries account_id, request_at, http_status, api_key_id and traffic_class. Build a signup cohort by the ISO week of created_at over accounts with is_internal = false. An account counts as activated when it issues a request with http_status < 400, a non-null api_key_id and traffic_class <> 'synthetic_monitor' within 168 hours of its own created_at. Return cohort accounts, activated accounts and the rate per week, and exclude any week that has not yet fully elapsed its 168-hour window.

Approach

Collapse dim_account to one row per account_id before anything else. It is a type 2 dimension, so a plan or status change gives the same account several rows; filtering to is_current = true is the cheapest correct choice here because created_at does not change across versions.
Express the window as interval arithmetic on the timestamptz column: request_at >= created_at AND request_at < created_at + interval '168 hours'. A date-difference of 7 days is a different and wrong condition for accounts created mid-day.
Test activation with EXISTS rather than a join to MIN(request_at). EXISTS short-circuits, keeps the cohort at one row per account, and cannot fan out.
Aggregate by date_trunc('week', created_at AT TIME ZONE 'UTC'), counting accounts and activated accounts, and divide as a ratio of counts.
Drop unreportable weeks: the last account in a cohort week is created just under week_start + 7 days, so the week is only complete once now() >= week_start + interval '14 days'. Without that filter the newest week always looks like a regression.

Follow-up

The median time-to-first-successful-call is more informative than a fixed-window rate. Why can you not compute it from this query, and what estimator does it need?
How would you separate accounts that never called from accounts that called and got only 4xx responses, and which of those is a product problem?

Monthly account margin joined as-of the live contract version

Medium · as-of join · fan-out · scd2 · unit economics

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.

Expected result: One row per account per month with net revenue, allocated COGS, gross margin, and the plan_tier and employee_band that were actually in force, with output row count equal to the number of distinct (account_id, month) pairs that survive both the internal-account filter and the contract-bracket join.

Verify it yourself

Output row count equals COUNT(DISTINCT (account_id, date_trunc('month', usage_date))) on the source fact restricted to the same two filters; counted against the unrestricted fact it is strictly smaller, by exactly the internal and unmatched account-months.
reported_net + internal_net + unmatched_net equals the raw sum from fct_usage_daily over the same usage_date range, to the cent, with all three terms computed from the same usage_monthly CTE.
The reported figure alone is strictly below the raw sum whenever any internal account recorded usage in the window, and equal to it only in a window where none did.
No account-month carries more than one plan_tier or employee_band value.
Accounts with net_cents of zero return NULL margin rather than a division error, and margin-negative accounts appear with a value below zero rather than being dropped.

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 prioritize multiple competing projects with tight deadlines?

Medium · product sense and metrics

Approach

Decompose the metric into the rates that drive it, and say which one you would check first.
State what result would change your recommendation, so the answer is falsifiable.
Restate the decision this analysis has to support, and who acts on the answer.

Follow-up

How would you detect that the metric is being gamed rather than genuinely improving?
What would you do if the primary metric and the guardrail moved in opposite directions?

What is the role of the 'Temperature' parameter in LLM text generation?

Medium

Approach

State your assumptions explicitly before working the problem.
Work from the decision backwards to the evidence you would need.
Clarify what is being asked and what a complete answer would contain.

Follow-up

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

Compare and contrast fine-tuning an LLM versus using RAG.

Medium

Approach

State your assumptions explicitly before working the problem.
Say what you would check first and why it is the highest-information step.
Clarify what is being asked and what a complete answer would contain.

Follow-up

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

Separate novelty from durable lift in a console redesign

Medium · novelty-effect · time-heterogeneity · holdout

A redesigned request console was tested for four weeks, randomised at the account level. The lift in weekly successful interactive requests per account was +9.2%, +5.1%, +1.8% and +0.4% in experiment weeks one through four, and the week-four 95% interval spans plus or minus 3.1 percentage points. Accounts entered on a rolling basis as they next signed in, so week one is a different calendar week for different accounts. Say what the decaying series can and cannot establish, specify the readout that would settle it, and state what you would ship on Monday.

Approach

Name the distinct explanations the same curve is consistent with, because the shipping decision differs across them: a novelty effect decaying to zero; a novelty effect decaying to a small positive plateau the test has no power to see; and a genuine effect whose measured size shrinks as control accounts learn about the change from colleagues or release notes.
Fix the time axis before interpreting anything. With rolling entry, calendar week and weeks-since-first-exposure are different variables, and pooling them mixes the decay curve with a change in cohort composition, since the accounts that signed in on day one are systematically the most engaged. Recut on weeks-since-first-exposure and verify that plan_tier and pre-period usage mix are stable across entry cohorts.
Read the interval width honestly. Plus or minus 3.1 percentage points at week four cannot separate a durable +1% from zero. The defensible statement is that no durable effect larger than roughly 3.5% was detected, not that there is no durable effect, and those two sentences lead to different decisions.
Separate novelty from primacy using account tenure. Accounts created after launch have no prior console to be surprised by, so they cannot show novelty; if the redesign is genuinely better their curve should be flat or rising, while established accounts show the spike and decay. If both cohorts decay to zero, the effect really was novelty.
Specify the settling readout rather than arguing about the four weeks you have. Hold back 5% of accounts as a long-run holdout for 90 days, and compare whole ISO weeks only: usage in this domain follows a hard five-to-two weekday cycle, and a window containing four business days instead of five moves this metric by several percent with no product change.
Give the Monday answer. Ship if guardrails are clean and maintenance cost is low, because a decayed-to-zero effect with no harm is a neutral trade; but book none of the +9.2% in any forecast, and do not run a follow-up test on the same accounts inside the novelty window, because their baseline has not returned to steady state.

Worked solution (30 min)

Recut the four weekly estimates on weeks-since-first-exposure and confirm entry-week cohorts are comparable on plan_tier and pre-period usage.
Split each week's estimate by account tenure, created before versus after launch, and compare the shapes of the two curves.
Compute the horizon needed to halve the week-four interval: precision scales with the square root of exposure, so about four times the account-weeks are required.
Write the ship note with the 5% holdout design, the 90-day re-read date, and an explicit statement of the effect sizes that remain unexcluded.

Expected result: The series is consistent with pure novelty, with a durable plateau anywhere below about 3.5% left unexcluded. Separating the explanations requires the tenure split plus a 5% holdout re-read at 90 days, and halving the week-four interval to plus or minus 1.55 points needs roughly four times the account-weeks.

Verify it yourself

Interval width scales with one over the square root of the sample, so quadrupling exposure should roughly halve 3.1 points. A plan claiming a larger gain is double-counting repeated weeks on the same accounts, which are correlated rather than independent.
Accounts created after launch cannot exhibit novelty against an experience they never had, so a week-one spike in that cohort points at an assignment or instrumentation problem rather than at novelty.
Every weekly comparison must be a whole ISO week. A window containing a different number of business days than its comparator is not a like-for-like contrast in this domain.

Follow-up

What sample or horizon would you need to rule out a durable +1.5% at 80% power, given the week-four interval you have?
How would you distinguish a novelty effect from a control arm that gradually learned about the change?
The metric that decides renewal is up to eleven months away on annual contracts. What proxy do you use in the meantime, and how do you validate it once renewals land?

Error rate halves while severe support tickets double

Hard · missing data · aggregation bias · reconciliation

The fleet-wide customer-visible error rate fell from 1.8 percent to 0.9 percent, while sev1 and sev2 tickets and reopened_count rose across the same fortnight. Using fct_api_request (account_id, environment, sdk_name, traffic_class, http_status, request_at, billable_units), fct_usage_daily (account_id, sku_code, usage_date, billable_quantity) and fct_support_ticket (account_id, severity, opened_at, reopened_count, linked_incident_id), determine whether reliability improved, and if not, identify precisely which rows are missing and from when. Deliverable: a diagnosis backed by an independent corroborating source.

Approach

Distrust an improvement that contradicts an independent operational signal. Two sources disagreeing is itself the finding; decide which one is more likely to be broken before explaining either.
Recompute the rate as the metric tree defines it, per account first and then as the share of accounts above the reliability target. A single global average is dominated by whichever account sends the most traffic, so a fleet number can fall while a quarter of accounts get worse.
Audit for missingness rather than for badness: count fct_api_request rows per hour split by environment, sdk_name and status class, indexed against the trailing same-hour baseline. A partial ingestion failure shows as a step drop confined to one slice, not a uniform decline.
Reconcile against a source the request pipeline does not feed, such as implied request volume from fct_usage_daily for the same accounts and dates. If the usage table is flat while request rows fell, rows are missing rather than traffic.
Test whether the missingness is differential by status, which is the mechanism that fakes an improvement: if 5xx rows are written on a path that stopped while 2xx rows were unaffected, the numerator falls faster than the denominator and the rate drops with nothing improving.
Close with the affected window, the affected slice and a restated series marked unreliable across that window, rather than a silently patched number.

Follow-up

The missing rows are unrecoverable. How do you present that fortnight in a series people compare week over week?
What monitor would have caught this within an hour, and what is its false-positive cost on a normal quiet weekend?

Suggested practice checklist

For someone who can already write the query and train the model but stalls when asked what to measure or whether a change is worth making. Metric definition and case structure come first; the technical work is kept as maintenance rather than the centre of the week.

Day 1 — Metric anatomy

For three products you use daily, write one primary metric, two input metrics that plausibly move it, and one guardrail that would catch a cheap way of moving the primary at the cost of the product.
For one of them, specify the metric precisely enough that two analysts would return the same number: numerator, denominator, unit of observation, time window, and how returning and deleted accounts are treated.
Pick a ratio metric and write what happens to it when the denominator shrinks for reasons unrelated to the numerator, with a concrete example of that happening.

Deliverable: A one-page metric tree for one product, with the primary metric written as an unambiguous spec.

Day 2 — Diagnosing a drop without guessing

Take the prompt "weekly active users fell 8 percent week over week" and write the segmentation plan before proposing any cause: platform, region, tenure cohort, acquisition channel, and whether the movement sits in the numerator or in a changed denominator.
List the instrumentation failures that manufacture fake drops (a client release that stopped firing an event, a bot filter change, a shifted date boundary or timezone) and write the query that rules out each one.
Rehearse stating the boring explanations first, seasonality and day-of-week composition, before reaching for a product cause.

Deliverable: A drop-diagnosis checklist short enough to recite from memory in under a minute.

Day 3 — Should we build it

Take a feature idea and write it as a bet: what you believe is true, what would have to be true for it to pay off, the metric that would confirm it, and the effect size that would justify the engineering cost.
Size the opportunity top-down and bottom-up, then reconcile the two numbers in writing instead of quoting whichever is friendlier.
Write the counter-metric that would make you kill the feature even if it wins on the primary metric.

Deliverable: A one-page product memo ending in a decision rather than a list of considerations.

Day 4 — The places aggregate numbers lie

Construct a Simpson's paradox numerically: two segments where the treatment wins within each segment yet loses overall, and identify the shift in segment weights that causes it.
Take a heavy right-tailed quantity such as revenue per user and write why the mean is the wrong summary, which percentile you would report instead, and what a moving mean with a stable median tells you.
Write your definition of a session for the product from day one, then name two real behaviours it misclassifies.

Deliverable: One page holding a worked Simpson's paradox table and a session definition with its two known failure cases.

Day 5 — Technical maintenance, aimed at metrics

Solve four timed SQL prompts that all end in a ratio metric, so the question of grain stays live in every answer.
Compute a 95 percent confidence interval for a proportion on a small sample, and state why the normal approximation is unreliable when either np or n(1 minus p) falls below roughly 10, along with which interval you would use instead.
Take one metric from your day-one tree, write the query that computes it correctly, then write the query that computes it wrong in the most plausible way and explain how you would notice.

Deliverable: Four solved prompts plus a matched correct and plausible-wrong query for one metric.

Day 6 — Turning engineering work into data science stories

Write three project stories as situation, decision, trade-off, outcome, each carrying one number and one thing you got wrong.
For the story you will lead with, prepare an answer to "what would you do differently" that names a decision you made, not a constraint you were handed.
Practise the sentence that reframes a systems project as a question project: the question the work answered, ahead of the pipeline it shipped.

Deliverable: Three written stories with the lead story delivered aloud and timed under four minutes.

Day 7 — Mock case and gap list

Run a 40-minute mock case with someone playing a product manager who pushes back on your metric choice, and record it.
Listen back and mark every moment you proposed a solution before the success metric existed.
Rewrite those moments as the question you should have asked, and rehearse the first 90 seconds of the case until scoping comes before solving.

Deliverable: A recorded case plus a rewritten opening 90 seconds.

Explaining a method to someone who will not follow the maths

Half of this section is about translation. Be ready to describe how you explained a result to someone who did not want the method, only the implication, and what you did when the simplified version started being repeated in a way that overstated it. Correcting your own simplification is a strong beat.

What is the most challenging data quality issue you’ve faced, and how did you overcome it?

Medium · behavioural and stakeholder questions

Approach

Pick a story where you drove the decision, not one where you observed it.
Close with what you would do differently, concretely.
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 did you decide not to do, and why?

Describe a time you had to explain a technical failure to a business stakeholder.

Medium · behavioural and stakeholder questions

Approach

Close with what you would do differently, concretely.
Pick a story where you drove the decision, not one where you observed it.
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 did you decide not to do, and why?

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

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?