Explanation Given: The frequency distribution table is, x f 5 1 8 3 11 6 12 2 14 5 15 4 18 3 Formula used: Mean: If a data set contains n data values, the mean x ¯ of the data set is x ¯ = ∑ x n 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 frequency distribution table, x f 5 1 8 3 11 6 12 2 14 5 15 4 18

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Author: Pirnot

Publisher: PEARSON

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Chapter 14.2, Problem 15E

To determine

To calculate:

The mean, median and mode of the frequency distribution.

x f

5 1

8 3

11 6

12 2

14 5

15 4

18 3

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Chapter 14.2, Problem 14E

Chapter 14.2, Problem 16E

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The mean, median and mode of the frequency distribution. x f 5 1 8 3 11 6 12 2 14 5 15 4 18 3

Solution Summary: The author calculates the mean, median, and mode of the frequency distribution.

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To calculate: The mean, median and mode of the frequency distribution. x f 5 1 8 3 11 6 12 2 14 5 15 4 18 3

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Chapter 14 Solutions

To calculate:

The mean, median and mode of the frequency distribution.

x f

5 1

8 3

11 6

12 2

14 5

15 4

18 3