question 9 of 25\nwhat is the mean of the following data values?\n53, 71, 89, 10, 87\n\na. 71\nb. 82\nc…

Explanation:

Step1: Recall mean formula

The mean $\bar{x}$ of a set of data values $x_1,x_2,\cdots,x_n$ is given by $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, where $\sum_{i=1}^{n}x_i$ is the sum of the data - values and $n$ is the number of data - values.

Step2: Calculate the sum of data values

Here, $x_1 = 53$, $x_2=71$, $x_3 = 89$, $x_4 = 10$, $x_5 = 87$. Then $\sum_{i = 1}^{5}x_i=53 + 71+89+10+87=310$.

Step3: Calculate the number of data values

The number of data values $n = 5$.

Step4: Calculate the mean

$\bar{x}=\frac{\sum_{i = 1}^{5}x_i}{5}=\frac{310}{5}=62$.

Answer:

C. 62