Question

find the mean, $overline{x}$, of the data. 16, 31, 38, 24, 36 $overline{x} = $

Explanation:

Step1: Calculate the sum of data

$$16 + 31+38 + 24+36$$
$$=(16 + 31)+38 + 24+36$$
$$=47+38 + 24+36$$
$$=(47+38)+24 + 36$$
$$=85+24 + 36$$
$$=85+(24 + 36)$$
$$=85 + 60$$
$$=145$$

Step2: Count the number of data points

There are \(n = 5\) data points.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), substituting \(\sum_{i=1}^{n}x_{i}=145\) and \(n = 5\)
\(\bar{x}=\frac{145}{5}=29\)

Answer:

\(29\)