Using and Interpreting Concepts


Finding and Discussing the Mean, Median, and Mode In Exercises 17–34, find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.


Power Failures The durations (in minutes) of power failures at a residence in the last 10 years
18 26 45 75 125 80 33
40 44 49 89 80 96 125
12 61 31 63 103 28 19

Graphical Analysis In Exercises 59 and 60, the letters A, B, and C are marked on the horizontal axis. Describe the shape of the data. Then determine which is the mean, which is the median, and which is the mode. Justify your answers.

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Phone Screen Sizes Display the data below in a dot plot. Describe the differences in how the stem-and-leaf plot and the dot plot show patterns in the data.

Building Basic Skills and Vocabulary

Describe the relationship between quartiles and percentiles.

Graphing Data Sets In Exercises 17–32, organize the data using the indicated type of graph. Describe any patterns.

Life Spans of Houseflies Use a dot plot to display the data, which represent the life spans (in days) of 30 houseflies. 

9 9 4 11 10 5 13 9 7 11 6 8 14 10 6 

10 10 7 14 11 7 8 6 13 10 14 14 8 13 10

Constructing a Frequency Distribution and a Frequency Polygon In Exercises 35 and 36, construct a frequency distribution and a frequency polygon for the data set using the indicated number of classes. Describe any patterns.

Ages of the Presidents Number of classes: 7 Data set: Ages of the U.S. presidents at Inauguration (Source: The White House) 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 51 47 55 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 46 54 47 70 78

Graphical Analysis In Exercises 13 and 14, use the box-and-whisker plot to identify the five-number summary.