Calculate the standard deviation for the following data. fill in all of the table
group/bench | tube 3 sample value | mean | deviation | (deviation)^{2} |
1 | 90 | |||
2 | 138 | |||
3 | 103 | |||
4 | 175 | |||
5 | 120 | |||
6 | 81 | |||
Sum of squared deviations | ||||
a.)Variances b.)Standard Deviations |
from given data:
S.No | X | mean | (X-x̄) | (X-x̄)2 |
1 | 90.000 | 117.833 | -27.833 | 774.6944 |
2 | 138.000 | 117.833 | 20.167 | 406.6944 |
3 | 103.000 | 117.833 | -14.833 | 220.0278 |
4 | 175.000 | 117.833 | 57.167 | 3268.0278 |
5 | 120.000 | 117.833 | 2.167 | 4.6944 |
6 | 81.000 | 117.833 | -36.833 | 1356.6944 |
Σx | 707.000 | sum of sq deviation | 6030.8333 | |
mean=Σx/n | 117.8333 | variance=s2=Σ(x-x̄)2/(n-1)= | 1206.1667 | |
standard dev . s=√s2 = | 34.7299 |
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