Chapter EP, Problem 12.2.5EP

To determine

To find: The standard deviation.

Answer to Problem 12.2.5EP

The standard deviation is $17.9$ .

Explanation of Solution

Given information:

The given table is,

29 26 17 12 5 4 25 17 23 18 13 6 25 20 27 22 26 30 31 2 12 27 16 27 16 30 6 16 5 0 5 29 18 16 22 29 8 23

Calculation:

From the table, it is observed that the high temperatures recorded during a $38$ -day cold period in Cleveland, Ohio.

Calculate the $\mu$ is the mean of the data and $n$ is the number of observations.

  $\begin{array}{c}\mu =\frac{\left(\begin{array}{l}29+26+17+12+5+4+25+17+23+18+13+6+25+20+27\\ +22+26+30+31+2+12+27+16+30+6+16+5+0+5+29+\\ 18+16+22+29+23\end{array}\right)}{38}\\ =\frac{683}{38}\\ =17.9736\\ \approx 17.9\end{array}$

Therefore, the standard deviation is $17.9$ .