How do you find the standard deviation of 5.6, 5.2, 4.6, 4.9, 5.7, 6.4?

2 Answers
May 22, 2017

.5859.5859

Explanation:

First, find the mean:

(5.6+5.2+4.6+4.9+5.7+6.4)/6=5.45.6+5.2+4.6+4.9+5.7+6.46=5.4

Now find the sum of the differences between the mean and all the points. Square those results:

(5.6-5.4)^2=.04(5.65.4)2=.04
(5.2-5.4)^2=.04(5.25.4)2=.04
(4.6-5.4)^2=.64(4.65.4)2=.64
(4.9-5.4)^2=.25(4.95.4)2=.25
(5.7-5.4)^2=.09(5.75.4)2=.09
(6.4-5.4)^2=1(6.45.4)2=1

Find the average of the differences:

(.04+.04+.64+.25+.09+1)/6=.343.04+.04+.64+.25+.09+16=.343

Now square root the result:

sqrt(2.06)=.58592.06=.5859

May 22, 2017

Using graphing calculator

Explanation:

You can do this problem very easily using a graphing calculator.

First, put the data set in a list. Go to stat, then edit, and then put in your numbers in one column.

Then, go to stat, then calc, then 1 var stats. Plug in your list and press calculate. Your result is sigmaxσx