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Estimate Highway Billboard Impressions Using Traffic Data

Last updated: Mar 29, 2026

Quick Overview

This question evaluates a data scientist's competency in applied statistical estimation and probabilistic modeling for audience measurement, covering metric definition (reach, impressions, frequency), traffic segmentation, exposure-model design, sampling considerations, and uncertainty quantification.

  • medium
  • Pinterest
  • Statistics & Math
  • Data Scientist

Estimate Highway Billboard Impressions Using Traffic Data

Company: Pinterest

Role: Data Scientist

Category: Statistics & Math

Difficulty: medium

Interview Round: Onsite

##### Scenario Out-of-home advertising campaign wants to estimate reach. ##### Question How would you estimate how many people actually saw a highway billboard and derive the total number of impressions it generated? ##### Hints Segment the population, collect traffic counts or mobile-location samples, model exposure probability, then multiply by average views per person.

Quick Answer: This question evaluates a data scientist's competency in applied statistical estimation and probabilistic modeling for audience measurement, covering metric definition (reach, impressions, frequency), traffic segmentation, exposure-model design, sampling considerations, and uncertainty quantification.

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Pinterest
Jul 12, 2025, 6:59 PM
Data Scientist
Onsite
Statistics & Math
17
0

Estimating Billboard Reach and Impressions

Scenario

An out-of-home (OOH) advertising team wants to estimate both reach (unique people who saw the ad at least once) and impressions (total ad views) for a single highway billboard over a specified time window (e.g., a week).

Task

Design a defensible estimation approach suitable for a data-science interview:

  1. Define the metrics (reach, impressions, frequency) and scope (time window, directionality, static vs. digital rotation, daylight vs. illuminated hours).
  2. Segment the population and traffic appropriately (e.g., by direction, time-of-day, weekday/weekend, lane, speed), and outline data sources (traffic counts, mobile/GPS samples).
  3. Propose an exposure model that converts “passings” into “probability of seeing” the ad (e.g., visibility/time-in-view, unobstructed view, attention/viewability).
  4. Derive formulas for impressions and reach. State assumptions clearly.
  5. Show a small, numeric back-of-the-envelope example.
  6. Briefly discuss validation and how you would quantify uncertainty.

Hints (you may use or adapt)

  • Segment the population, collect traffic counts or mobile-location samples, model exposure probability, then multiply by average views per person.
  • Use de-duplication or a distributional model (e.g., Poisson/NB) to infer reach from impressions when only pass-by counts are available.

Solution

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