Problem preview

MF.DP.2 Standard MF-056-A07-V03

Read and compare dot plots, histograms, and box plots to describe center, spread, and shape.

Use display shape to judge a claim

Problem

A screen-time box plot has a much longer right whisker and a median closer to \(Q_{1}\) than \(Q_{3}\). Evaluate Claim A, “The distribution is roughly symmetric,” and Claim B, “The distribution is right-skewed with high values.” Which complete response is supported by the display?

Box plot of daily screen time in hours. The minimum is about 1 hour, the first quartile about 2.5 hours, the median about 3.5 hours, the third quartile about 6.5 hours, and the maximum about 10.5 hours. The right whisker is much longer than the left whisker, and the median is closer to the lower quartile than to the upper quartile.

Answer choices

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A

Claim A; feature = equal whiskers

B

Claim A; feature = longer left side

C

Claim B; feature = longer right side and median closer to Q1

D

Claim B; feature = centered median with equal box halves

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Curriculum context

Course: Math Foundations
Standard: MF.DP.2
Category: Data and Probability
Domain: Descriptive Statistics
Objective: Read and compare dot plots, histograms, and box plots to describe center, spread, and shape.
Problem type: Use display shape to judge a claim