##### standard deviation of a data set

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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 70-71 3 72-73 7 74-75 16 76-77 12 78-79 10 80-81 4 82-83 1
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

May 27th, 2015

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May 27th, 2015
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May 27th, 2015
Oct 18th, 2017
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