AP Statistics Five-Number Summary, Boxplots and Comparing Distributions Test with Point Values (PDF)

AP Statistics math test: Five-Number Summary, Boxplots and Comparing Distributions – Maths PDF

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This boxplots compare test for AP Statistics covers five-number summary, boxplots and comparing distributions (Common Core AP STAT 1.8, AP STAT 1.9, HSS-ID.A.1, HSS-ID.A.2), with a free PDF to print.

This 45-minute test covers the five-number summary, boxplots with outliers, and comparing distributions. Show every quartile calculation and write comparisons in complete sentences using context.

Time and points

About this test

Grade: AP Statistics
Chapter: Five-Number Summary, Boxplots and Comparing Distributions
Standards: AP STAT 1.8, AP STAT 1.9, HSS-ID.A.1, HSS-ID.A.2
Time: 45 minutes
Total: 20 points

Boxplots compare test: questions

Question 1 – Five-number summary [3 pts]

Eleven delivery times.

Find the five-number summary, the IQR, and the upper fence for the data in the dotplot. (3 points)

Question 2 – Outlier decision [2 pts]

Using the data in the dotplot, decide whether 44 is an outlier. Explain.

Question 3 – Read a boxplot [3 pts]

Ages of customers.

(a) Find the range and the IQR. (1 point) (b) Describe the shape and explain. (1 point) (c) About what percent of customers are older than 40? (1 point)

Question 4 – Compare two stores [4 pts]

Items sold per hour.

Compare the two distributions of items sold per hour in context. Discuss center and spread. (4 points)

Question 5 – Percent in a section [2 pts]

A boxplot summarizes 200 salaries. About how many salaries are between Q1 and Q3? About how many are above the median?

Question 6 – Find a quartile [2 pts]

The IQR is 14 and Q1 is 30. Find Q3 and the upper fence.

Question 7 – Draw a boxplot [2 pts]

Draw a boxplot for the five-number summary 5, 12, 20, 26, 38 and state the IQR.

Question 8 – Limits of a boxplot [2 pts]

Name one feature of a distribution that a boxplot can hide, and name a graph that would show it.

Key facts behind this boxplots compare test

Key facts

Five-number summary: minimum, Q1, median, Q3, maximum.
Each quarter of the ordered data holds about 25% of the values.
IQR = Q3 – Q1; outliers lie more than 1.5 IQR outside the box.
Compare center, spread, shape, and unusual features using comparison words.
Boxplots show skew and outliers but not the number of peaks.

How to use this boxplots compare test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All AP Statistics chapters: AP Statistics math.

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