Explanation Definition: Standard deviation: Suppose x is a data value in a set whose mean is x ¯ , then x − x ¯ is called x ’s deviation from mean. The formula for standard deviation of a sample n data values is s = ∑ ( x − x ¯ ) 2 n − 1 . Mean: Suppose the data set contains n data values, the mean x ¯ of the data is computing by the formula x ¯ = ∑ x n . Calculation: The given distribution is 3 , 4 , 5 , 6 , 5 , 6 , 8 , 9 , 8 . Compute the mean for the distribution 3 , 4 , 5 , 6 , 5 , 6 , 8 , 9 , 8 . Here, n = 9 . Compute the mean of the distribution by using the mean formula mentioned above. x ¯ = 3 + 4 + 5 + 6 + 5 + 6 + 8 + 9 + 8 9 = 54 9 = 6 Therefore, the mean of the distribution is x ¯ = 6 . Compute the squares of the deviations of the data values from the mean as shown in below table

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Chapter 14.CT, Problem 5CT

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The sample standard deviation for the distribution 3, 4, 5, 6, 5, 6, 8, 9, 8.

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Chapter 14 Solutions

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The sample standard deviation for the distribution 3 , 4 , 5 , 6 , 5 , 6 , 8 , 9 , 8 .

Solution Summary: The author calculates the sample standard deviation for a data set whose mean is x-stackrel x.

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The sample standard deviation for the distribution 3, 4, 5, 6, 5, 6, 8, 9, 8.

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The sample standard deviation for the distribution 3 , 4 , 5 , 6 , 5 , 6 , 8 , 9 , 8 .

Solution Summary: The author calculates the sample standard deviation for a data set whose mean is x-stackrel x.

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To calculate: The sample standard deviation for the distribution 3, 4, 5, 6, 5, 6, 8, 9, 8.

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Chapter 14 Solutions

To calculate:

The sample standard deviation for the distribution 3, 4, 5, 6, 5, 6, 8, 9, 8.