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 
7071  3 
7273  7 
7475  16 
7677  12 
7879  10 
8081  4 
8283  1 
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
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
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