Question

question 2 of 10
if a sample consists of the following data values, what is
the sample mean?
13, 91, 44, 28, 54, 16, 48, 74
a. 41
b. 56
c. 51
d. 46

Explanation:

Step1: Calculate the sum of data values

$$13 + 91+44 + 28+54 + 16+48 + 74$$
$$=(13 + 91)+(44 + 28)+(54 + 16)+(48 + 74)$$
$$=104+72+70+122$$
$$=(104 + 72)+(70 + 122)$$
$$=176+192$$
$$=368$$

Step2: Calculate the number of data values

There are \(n = 8\) data values.

Step3: Calculate the sample mean

The formula for the sample mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=368\) and \(n = 8\) into the formula: \(\bar{x}=\frac{368}{8}=46\)

Answer:

D. 46