In this problem, we have the following data sample:
[tex]32,37,24,22,20.[/tex]
We must compute the standard deviation of this data sample.
1) First, we compute the mean value which is given by the following formula:
[tex]\bar{x}=\frac{\sum^n_{i\mathop=1}x_i}{n}=\frac{32+37+24+22+20}{5}=\frac{135}{5}=27.[/tex]
2) Now, we compute the standard deviation using the following formula:
[tex]\sigma=\sqrt[]{\frac{\sum^n_{i\mathop{=}1}(x_i-\bar{x})^2}{n-1}}=\sqrt[]{\frac{208}{5-1}}\cong7.21.[/tex]
Answer
The standard deviation is 7.21.
