How do I find the Sample Standard Deviation of 167, 211, 187, 176, 170, 158, 198, 218, 145, 232,
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First, we find the mean, which is the sum of all the data divided by the amount of data:

1862/10=186.2.

Next we find the sample variance, which is the sum of the squares of the differences between each datum and the mean m, 186.2.

X X-m (X-m)^2
167 -19.2 368.64
211 24.8 615.04
187 0.8 0.64
176 -10.2 104.04
170 -16.2 262.44
158 -28.2 795.24
198 11.8 139.24
218 31.8 1011.24
145 -41.2 1697.44
232 45.8 2097.64
  TOTAL: 7091.20

Next, we divide the total by 9 (1 less than the amount of data)=787.92 approx. The standard deviation is the square root of the variance=28.07 approx. So the sample standard deviation is 28.07.

 

by Top Rated User (788k points)

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