7th Grade Comparing Two Populations Test with Point Values (PDF)

7th Grade math test: Comparing Two Populations – Maths PDF

Cover of the book Grade 7 Math Tests with Answer Keys (PDF)

Download as a PDFThe Grade 7 tests book with answer keysPrintable PDFSee the book ›

Sommaire

This comparing populations test for 7th Grade covers comparing two populations (Common Core 7.SP.B.3, 7.SP.B.4), with a free PDF to print.

This 45-minute test checks comparing two data distributions with dot plots and box plots using mean, median, mean absolute deviation, variability, and overlap (Common Core 7.SP.B.3-4). It has 9 questions worth 20 points in all. Show your work, because most questions give partial credit for correct steps.

Time and points

About this test

Grade: Grade 7
Chapter: Comparing Two Populations
Standards: 7.SP.B.3, 7.SP.B.4
Time: 45 minutes
Total: 20 points

Comparing populations test: questions

Question 1 – Mean and median [2 pts]

Find the mean and median of 6, 8, 9, 9, 10, 12.

Question 2 – MAD [2 pts]

Find the MAD of 2, 4, 6, 8, 10.

Question 3 – Compare dot plots [2 pts]

Team A

Team B

The dot plots show scores for two teams. Without computing, which team has greater variability? Find the range of each team.

Question 4 – Quartiles [2 pts]

Find Q1, Q3, and the IQR of 20, 22, 25, 28, 30, 31, 35, 40.

Question 5 – Compare box plots [2 pts]

Heights of two plant groups.

Compare the medians and the IQRs of the two groups. Which group is taller overall?

Question 6 – Difference in MADs [2 pts]

Group 1 has a mean of 70 and a MAD of 5. Group 2 has a mean of 85 and a MAD of 5. Express the difference of the means as a multiple of the MAD, and explain what it tells you.

Question 7 – Informal inference [2 pts]

A random sample of 25 students from School A has a median of 18 minutes to get to school, and a random sample of 25 from School B has a median of 12 minutes. Both IQRs are about 6 minutes. What can you conclude, and what additional step makes the conclusion stronger?

Question 8 – Two classes [3 pts]

Test scores for two classes.

Find the median of each class. (1 point)
Find the IQR of each class. (1 point)
Which class has more consistent scores? Use the IQRs to explain. (1 point)

Question 9 – Two runners [3 pts]

Runner 1

Runner 2

Find the mean of each runner’s five times. (1 point)
Find the MAD of each runner. (1 point)
Which runner is more consistent? Explain. (1 point)

Key facts behind this comparing populations test

Key facts

Center: mean or median. Spread: MAD, range, or IQR.
MAD is the mean of the distances from the mean.
A box plot shows the minimum, Q1, median, Q3, and maximum; IQR = Q3 – Q1.
Express the difference in centers as a multiple of the variability.
Random samples support informal inferences about populations.

How to use this comparing populations 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 Grade 7 chapters: Grade 7 math.

Voter.. post

Free printable PDF