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9.03 Comparing data distributions

Adaptive
Worksheet

Interactive practice questions

The box plots show the heights, in centimeters, jumped by two high jumpers.

Two box plots represent the distances jumped by two high jumpers named Matt and Paul. Below the boxes and whiskers is a number line labeled "Distance (cm)" with marks from 140 to 180 labeled in intervals of 10. The box and whiskers representing Matt's distance is plotted above Paul's. Matt's box and whiskers has a left whisker at approximately 150, a right whisker at approximately 180 and a vertical line inside the box that is to the right of 165. In Matt's box, the left side is at the left of 160 and the right side is at the right of 170. Paul's box and whiskers has a left whisker at approximately 155 and a right whisker at approximately 174 and a vertical line inside the box that is to the left of 165. In Paul's box, the left side is at the right of 160 and the right side is at the left of 170.

a

Who had a higher median jump?

Matt

A

Paul

B
b

Who made the highest jump?

Matt

A

Paul

B
c

Who made the lowest jump?

Matt

A

Paul

B
Easy
< 1min

The test scores of $12$12 students in Music and French are listed below.

Music: $79,59,74,94,51,71,93,84,69,61,86,86$79,59,74,94,51,71,93,84,69,61,86,86

French: $62,71,64,82,83,99,87,89,66,73,59,76$62,71,64,82,83,99,87,89,66,73,59,76

Easy
2min

The residents of two blocks of townhouses were asked the number of pets they own. The frequency of various responses are presented in the dot plots.

According to the data, which of the following statements are true?

Easy
2min

Study the bar graph below which shows the changes in tourism rates in different cities during 2011 and 2012, then answer the following questions.

Easy
2min
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Outcomes

A2.N.Q.A.1

Use units as a way to understand real-world problems.*

A2.N.Q.A.1.D

Choose an appropriate level of accuracy when reporting quantities.

A2.S.ID.A.1

Use statistics appropriate to the shape of the data distribution to compare center (mean, median, and/or mode) and spread (range, standard deviation) of two or more different data sets.*

A2.MP2

Reason abstractly and quantitatively.

A2.MP3

Construct viable arguments and critique the reasoning of others.

A2.MP6

Attend to precision.

A2.MP8

Look for and express regularity in repeated reasoning.

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