Topics
4. Data Analysis
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United States of AmericaVirginia
Grade 8

4.04 Compare data sets

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Two groups of people, athletes and non-athletes, had their resting heart rate measured. The results were displayed in a pair of box plots.

Athletes
30
40
50
60
70
80
90

A box plot is shown on a number line ranging from 30 to 90. The number line is labeled at intervals of 10 units, with minor ticks indicating intervals of 2 units. The box plot ranges from 40 to 70.
Non-athletes
30
40
50
60
70
80
90
Beats per minute

A box plot is shown on a number line ranging from 30 to 90. The number line is labeled at intervals of 10 units, with minor ticks indicating intervals of 2 units. The box plot ranges from 46 to 90.
a

What is the median heart rate of athletes?

b

What is the median heart rate of the non-athletes?

c

Using this measure, which group has the lower heart rates?

Non-athletes

A

Athletes

B
d

What is the interquartile range of the athletes' heart rates?

e

What is the interquartile range of the non-athletes' heart rates?

f

Using this measure, which group has more consistent heart rate measures?

Non-athletes

A

Athletes

B
Medium
2min

The box plots show the monthly profits (in thousands of dollars) of two financial traders over a year.

Easy
2min

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

Easy
< 1min

The box plots show the number of goals scored by two football players in each season.

Medium
1min
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Outcomes

8.PS.2

The student will apply the data cycle (formulate questions; collect or acquire data; organize and represent data; and analyze data and communicate results) with a focus on boxplots.

8.PS.2a

Formulate questions that require the collection or acquisition of data with a focus on boxplots.

8.PS.2b

Determine the data needed to answer a formulated question and collect the data (or acquire existing data) using various methods (e.g., observations, measurement, surveys, experiments).

8.PS.2c

Determine how statistical bias might affect whether the data collected from the sample is representative of the larger population.

8.PS.2d

Organize and represent a numeric data set of no more than 20 items, using boxplots, with and without the use of technology.

8.PS.2e

Identify and describe the lower extreme (minimum), upper extreme (maximum), median, upper quartile, lower quartile, range, and interquartile range given a data set, represented by a boxplot.

8.PS.2g

Analyze data represented in a boxplot by making observations and drawing conclusions

8.PS.2h

Compare and analyze two data sets represented in boxplots.

8.PS.2i

Given a contextual situation, justify which graphical representation (e.g., pictographs, bar graphs, line graphs, line plots/dot plots, stem-and-leaf plots, circle graphs, histograms, and boxplots) best represents the data.

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