College

What is the mean of the following data values?

[tex]$53, 71, 89, 10, 87$[/tex]

A. 71
B. 51
C. 62
D. 82

Answer :

To find the mean of a set of data, follow these steps:

1. First, add all the data values to get the total sum. For the numbers
[tex]$$53,\; 71,\; 89,\; 10,\; 87,$$[/tex]
the sum is
[tex]$$53 + 71 + 89 + 10 + 87 = 310.$$[/tex]

2. Count the number of data values. Here there are 5 values.

3. The mean is calculated by dividing the total sum by the number of values. Thus, the mean is
[tex]$$\text{Mean} = \frac{310}{5} = 62.$$[/tex]

Therefore, the mean of the data is [tex]$\boxed{62}$[/tex], which corresponds to option C.