Question

consider the following sample dataset of n=10: 12 15 25 36 40 43 65 100 121...

consider the following sample dataset of n=10:
12 15 25 36 40 43 65 100 121 134

calculate the standard deviation of the sample.

Math   Statistics-And-Probability   
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Answer #1
S.No X (X-x̄) (X-x̄)2
1 12 -47.100 2218.41000
2 15 -44.100 1944.81000
3 25 -34.100 1162.81000
4 36 -23.100 533.61000
5 40 -19.100 364.81000
6 43 -16.100 259.21000
7 65 5.900 34.81000
8 100 40.900 1672.81000
9 121 61.900 3831.61000
10 134 74.900 5610.01000
Σx 591 Σ(X-x̄)2= 17632.9000
x̄=Σx/n 59.100 s2=Σ(x-x̄)2/(n-1)= 1959.21111
                           s=√s2    = 44.2630

from above sample standard deviation =44.2630

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