standard deviation of a data set

Statistics
Tutor: None Selected Time limit: 1 Day

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

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
May 27th, 2015
...
May 27th, 2015
Dec 9th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer