2. Describing Data with Tables and Graphs

The data set represents the number of movies that a sample of 20 people watched in a year.

121 148 94 142 170 88 221 106 18 67

149 28 60 101 134 168 92 154 53 66

c. Display the data using a relative frequency histogram.

Identifying the Shape of a Distribution In Exercises 53–56, construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe the shape of the histogram as symmetric, uniform, negatively skewed, positively skewed, or none of these.

Heights of Males

Number of classes: 5

Data set: The heights (to the nearest inch) of 30 males

67 76 69 68 72 68 65 63 75 69

66 72 67 66 69 73 64 62 71 73

68 72 71 65 69 66 74 72 68 69

[APPLET] Milk Consumption You are performing a study about weekly per capita milk consumption. A previous study found weekly per capita milk consumption to be normally distributed, with a mean of 48.7 fluid ounces and a standard deviation of 8.6 fluid ounces. You randomly sample 30 people and record the weekly milk consumptions shown below.

a. Draw a frequency histogram to display these data. Use seven classes. Do the consumptions appear to be normally distributed? Explain.

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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Drawing a Box-and-Whisker Plot In Exercises 15–18,

(b) draw a box-and-whisker plot that represents the data set.

2 7 1 3 1 2 8 9 9 2 5 4 7 3 7 5 4

2 3 5 9 5 6 3 9 3 4 9 8 8 2 3 9 5

"Average Income The following data represent the median household income (in dollars) for the 50 states and the District of Columbia in 2017. With the first class having a lower class limit of 40,000 and a class width of 5000:

d. Construct a relative frequency histogram of the data."

"Average Income The following data represent the median household income (in dollars) for the 50 states and the District of Columbia in 2017. With the first class having a lower class limit of 40,000 and a class width of 5000: f the data.

e. Describe the shape of the distribution."

True or False: The shape of the distribution shown is best classified as skewed left.

True or False: The shape of the distribution shown is best classified as uniform.

Rolling the Dice An experiment was conducted in which two fair dice were thrown 100 times. The sum of the pips showing on the dice was then recorded. The following frequency histogram gives the results.

a. What was the most frequent outcome of the experiment?

b. What was the least frequent?

Rolling the Dice An experiment was conducted in which two fair dice were thrown 100 times. The sum of the pips showing on the dice was then recorded. The following frequency histogram gives the results.

f. Describe the shape of the distribution.

Alcohol-Related Traffic Fatalities The frequency histogram represents the number of alcohol-related traffic fatalities by state (including Washington, D.C.) in 2016 according to the National Highway Traffic Safety Administration.

a. Determine the class width.

b. Identify the classes.

Threaded Problem: Tornado The data set “Tornadoes_2017” located at www.pearsonhighered.com/sullivanstats contains a variety of variables that were measured for all tornadoes in the United States in 2017.

a. Draw a relative histogram of the variable “Length.” Describe the shape of the distribution.