Question

A sample was done, collecting the data below. Calculate the standard deviation, to one decimalplace.X135251621

Answer 1

Given:

A sample data is,

13,5,25,16,21.

First, calculate the mean of the data,

`\begin{gathered} \bar{x}=(13+5+25+16+21)/(5) \\ =(80)/(5) \\ =16 \end{gathered}`

The standard deviation is calculated as,

`\begin{gathered} s^2=\frac{\sum^{}_{}(x_i-\bar{x})^2}{N-1} \\ N=5\text{ =number of data points} \\ s^2=((13-16)^2+(5-16)^2+(25-16)^2+(16-16)^2+(21-16)^2)/(5-1) \\ s^2=(236)/(4) \\ s=\sqrt[]{59} \\ s=7.7 \end{gathered}`

Answer: standard deviation is 7.7