Question

question
find the mean of the data set shown in
the table below.

data set f
37
124
38
119
142

answer

Explanation:

Step1: Sum the data values

To find the mean, first we sum all the numbers in the data set. The data values are 37, 124, 38, 119, and 142. So we calculate \(37 + 124 + 38 + 119 + 142\). Let's add them step by step: \(37+124 = 161\), \(161+38 = 199\), \(199+119 = 318\), \(318+142 = 460\).

Step2: Divide by the number of data points

The number of data points (n) is 5. The formula for the mean (\(\bar{x}\)) is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(\sum_{i = 1}^{n}x_{i}\) is the sum of the data points. So we divide the sum (460) by 5: \(\frac{460}{5}=92\).

Answer:

92