Explanation Given: The EPA has determined the number of miles per gallon (MPG) for 58 foreign cars, as given in the following frequency table. MPG 19 20 21 22 23 24 25 26 27 28 29 30 Frequency 2 5 3 5 4 8 8 6 3 5 7 2 Formula used: Mean: If a data set contains n data values, the mean x ¯ of the data set is x ¯ = ∑ x ⋅ f f Median: If we arrange a set of data values in increasing (or decreasing) order, the median is the middle value in the list of values. However, there are two cases to consider. • If there is an odd number of values, then the median is the value in the middle position. • If there is an even number of values, then the median is the mean of the two middle values. Mode: The mode of a set of data is the data value that occurs most frequently. It is possible for a data set to have more than one mode. If no one value occurs more often than others, the data set is said to have no mode. Calculation: Consider the given data set, MPG 19 20 21 22 23 24 25 26 27 28 29 30 Frequency 2 5 3 5 4 8 8 6 3 5 7 2 Mean is calculated as, MPG 19 20 21 22 23 24

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Chapter 14.2, Problem 33E

To determine

To calculate:

The mean, median and mode of the following data.

MPG 19 20 21 22 23 24 25 26 27 28 29 30

Frequency 2 5 3 5 4 8 8 6 3 5 7 2

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Chapter 14.2, Problem 32E

Chapter 14.2, Problem 34E

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MPG	19	20	21	22	23	24	25	26	27	28	29	30
Frequency	2	5	3	5	4	8	8	6	3	5	7	2

The mean, median and mode of the following data. MPG 19 20 21 22 23 24 25 26 27 28 29 30 Frequency 2 5 3 5 4 8 8 6 3 5 7 2

Solution Summary: The author calculates the mean, median, and mode of a data set.

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To calculate: The mean, median and mode of the following data. MPG 19 20 21 22 23 24 25 26 27 28 29 30 Frequency 2 5 3 5 4 8 8 6 3 5 7 2

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Chapter 14 Solutions

To calculate:

The mean, median and mode of the following data.

MPG 19 20 21 22 23 24 25 26 27 28 29 30

Frequency 2 5 3 5 4 8 8 6 3 5 7 2