Data Representation and Analysis Worksheet

Make a stem-and-leaf plot of the data values 6, 18, 35, 35, 26, 32, 22, and 30.

• 0|6 1|8 2|2 6 3|0 2 5 5

• 0|6 1|8 2|2 6 3|0 2 5

• 0|6 1|8 2|2 6 3|0 2 5 5 5

• 0|6 1|8 2|2 6 3|0 2 5 5 5 5

The stem-and-leaf plot shows student test scores. How many students score at least 19 points? Test Scores Stem | Leaf 0 | 7 1 | 2 8 9 2 | 1 1 3 5 5 5 5 Key: 2|5 = 25

• 4

• 6

• 7

• 8

The frequency table shows the numbers of books read by students in a class over summer vacation. Display the data in a histogram.

• 0–1: 1, 2–3: 6, 4–5: 8, 6–7: 7, 8–9: 3

• 0–1: 3, 2–3: 7, 4–5: 8, 6–7: 6, 8–9: 1

• 0–1: 8, 2–3: 6, 4–5: 7, 6–7: 3, 8–9: 1

• 0–1: 1, 2–3: 8, 4–5: 6, 6–7: 3, 8–9: 7

The histogram shows the lengths of earthworms in a terrarium. Which interval contains the most data values?

• 0–1 inches

• 2–3 inches

• 4–5 inches

• 3–4 inches

Can you use the circle graph to find the number of people interviewed who support construction of the ice rink?

• Yes, if you know the total number of people interviewed.

• No, the graph does not provide enough information.

• Yes, always.

• No, because the percentages do not add up.

Find the mean, median, mode, range, and interquartile range of the data displayed in the stem-and-leaf plot in exercise 2.

• Mean: 17, Median: 19, Mode: 25, Range: 18, IQR: 6

• Mean: 19, Median: 21, Mode: 25, Range: 18, IQR: 4

• Mean: 19, Median: 21, Mode: 25, Range: 18, IQR: 6

• Mean: 21, Median: 19, Mode: 25, Range: 18, IQR: 6

The histograms show the ages of people riding two rides at an amusement park. Describe the shape of each distribution. Which ride has younger riders?

• Ride A has younger riders; Ride B has older riders.

• Ride B has younger riders; Ride A has older riders.

• Both rides have the same age distribution.

• Neither ride has younger riders.

The frequency table shows the gas mileages of several vehicles. What is the most appropriate measure to describe the center? To describe the variation?

• Mean for center, range for variation

• Median for center, interquartile range for variation

• Mode for center, mean for variation

• Range for center, mode for variation

Which of the following is a correct set of data values to make a box-and-whisker plot?

• 64, 70, 62, 56, 57, 66, 60, 63, 59

• 10, 20, 30, 40, 50

• 1, 2, 3, 4, 5

• 100, 200, 300, 400, 500

The box-and-whisker plot shows the resting heart rates of residents at a nursing home. What fraction of the residents has a resting heart rate of at most 65 beats per minute?

• 1/4

• 1/2

• 3/4

• All