Question

find the mean of the data set shown in the table below. data set f 37 124 38 119 142

Explanation:

Step1: Sum the data values

$$37 + 124+38 + 119+142$$
$$=(37 + 124)+38 + 119+142$$
$$=161+38 + 119+142$$
$$=(161+38)+119+142$$
$$=199+119+142$$
$$=(199+119)+142$$
$$=318+142$$
$$=460$$

Step2: Count the number of data values

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

Step3: Calculate the mean

The mean formula is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=460\) and \(n = 5\) into the formula: \(\bar{x}=\frac{460}{5}=92\)

Answer:

\(92\)