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Class Practice on Standard Deviation #1
Find the standard deviation for the following data set.
DATA
DATA − MEAN
6, 5, 8, 11, 4, 8
( DATA − MEAN ) 2
Solution
Find the standard deviation for the following data set.
The mean is
6, 5, 8, 11, 4, 8
6 + 5 + 8 + 11 + 4 + 8 42
=
=7
6
6
DATA
DATA − MEAN
( DATA − MEAN ) 2
6
-1
1
5
-2
4
8
1
1
11
4
16
4
-3
9
8
1
1
_______
32
Next step is to divide 32 by the sample size, 6.
32 / 6 = 5.3333333
Finally, s = 5.3333333 = 2.3094011 = 2.31
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