standard deviation of a data set

Statistics
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Find the standard deviation of the data summarized in the given frequency distribution.

19) The heights of a group of professional basketball players are summarized in the frequency distribution below. Find the standard deviation. Round your answer to one decimal place.

Height (in.)Frequency
70-713
72-737
74-7516
76-7712
78-7910
80-814
82-831
May 27th, 2015

mean=7.57


Take each value in the data set (x) and subtract the mean from it to get

4.57,0.57,-18.43,-4.43,-2.43,3.57,6.57


Square each of the differences,

20.88,0.3249,339.66,19.62,5.9049,12.7449,43.1649

442.34

am working on it in a short time please be patient

May 27th, 2015

 1.mean=7.57

 2.Take each value in the data set (x) and subtract the mean from it to get

4.57,0.57,-18.43,-4.43,-2.43,3.57,6.57

 3.Square each of the differences,

20.88,0.3249,339.66,19.62,5.9049,12.7449,43.1649

4.Add up all of the results from Step 3 to get the sum of squares,

442.34

5.Divide the sum of squares (found in Step 4) by the number of numbers in the data set minus one; that is, (n – 1)

442.34/6.57=67.3

6.Take the square root to get standard deviation

 square root of 67.3=8.2

standard deviation is 8.2


thank you for your patience

May 27th, 2015

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