Question

find the mean of the given data 8, 7.5, 9, 6, 13

Explanation:

Step1: Recall mean formula

The mean $\bar{x}$ of a set of data $x_1,x_2,\cdots,x_n$ is $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, where $n$ is the number of data - points and $\sum_{i=1}^{n}x_i$ is the sum of the data - points. Here $n = 6$, and the data points are $x_1 = 8$, $x_2=7.5$, $x_3 = 7.5$, $x_4=9$, $x_5 = 6$, $x_6=13$.

Step2: Calculate the sum of data points

$\sum_{i = 1}^{6}x_i=8 + 7.5+7.5 + 9+6+13=51$.

Step3: Calculate the mean

$\bar{x}=\frac{51}{6}=8.5$.

Answer:

$8.5$