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Statistics & Math questions require understanding of core concepts and practice. PracHub provides solutions with explanations to help you master statistics & math interviews.

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This is a easy difficulty Statistics & Math question, commonly asked during Technical Screen rounds at Capital One.

What role is this question designed for?

This question is commonly asked for Data Scientist candidates at Capital One during technical interviews.

Compare average unit profit under mix shift

Last updated: Mar 29, 2026

Quick Overview

This question evaluates competency in basic statistics and arithmetic applied to unit economics, specifically understanding weighted averages and sales-mix effects on per-unit profit.

Capital One

Oct 13, 2025, 9:49 PM

Data Scientist

Technical Screen

Statistics & Math

Context

A quick-service restaurant is evaluating average profit per burger under two menu strategies.

Assumptions:

Classic burger: price = $4, unit cost =$ 1
Vegan burger: price = $4, unit cost =$ 2
If both are sold, the sales mix is vegan:classic = 2:3

Scenarios:

Scenario A: Sell only classic burgers.
Scenario B: Sell both burgers with the given mix.

Tasks

(i) Compute the average profit per burger in Scenario A and in Scenario B.

(ii) Compute the difference in average profit per burger, defined as (B − A).

Solution

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Compare average unit profit under mix shift

Last updated: Mar 29, 2026

Quick Overview

This question evaluates competency in basic statistics and arithmetic applied to unit economics, specifically understanding weighted averages and sales-mix effects on per-unit profit.

Capital One

Oct 13, 2025, 9:49 PM

Data Scientist

Technical Screen

Statistics & Math

Context

A quick-service restaurant is evaluating average profit per burger under two menu strategies.

Assumptions:

Classic burger: price = $4, unit cost =$ 1
Vegan burger: price = $4, unit cost =$ 2
If both are sold, the sales mix is vegan:classic = 2:3

Scenarios:

Scenario A: Sell only classic burgers.
Scenario B: Sell both burgers with the given mix.

Tasks

(i) Compute the average profit per burger in Scenario A and in Scenario B.

(ii) Compute the difference in average profit per burger, defined as (B − A).

Solution

Show