Group 1Group 281216202428323640444852Which pair of box plots shows a clear difference between two populations?

Medians far apart and boxes that do not overlap

Boxes that overlap almost completely

7th Grade Comparing Two Populations Quiz: 10 Questions with Explanations

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

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

Answer all 10 multiple-choice questions on comparing two data distributions with dot plots and box plots using mean, median, mean absolute deviation, variability, and overlap. Pick the single best answer, then read the explanation to see why it is right and which common mistake each wrong choice shows. A score of 8 or more means you are ready for the test.

Grade 7 · Common Core State Standards: 7.SP.B.3, 7.SP.B.4

Comparing populations quiz: 10 questions

Question 1

The mean of 4, 6, 8, 10, 12 is:

Question 2

What does a small MAD tell you?

Question 3

The IQR of a data set with Q1 = 12 and Q3 = 20 is:

Question 4

Two groups have means 50 and 56 and a MAD of 3 each. The difference of means is how many MADs?

Question 5

Which statistic is best when a data set has an extreme outlier?

Question 6

A box plot has minimum 5, Q1 8, median 11, Q3 15, maximum 20. What is the range?

Question 7

Which pair of box plots shows a clear difference between two populations?

Question 8

What is the median of 3, 7, 8, 12?

Question 9

Team A has scores 8, 9, 10, 11, 12 and Team B has 2, 6, 10, 14, 18. Both have a mean of 10. Which has the greater MAD?

Question 10

Why should samples be random before comparing two populations?

Remember

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 quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the comparing populations quiz as a PDF with the button below and keep it with your notes.

All Grade 7 chapters: Grade 7 math.

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