To find the sample mean of a set of data values, follow these steps:
1. Sum all the data values:
- Add each value in the sample together: [tex]\(13 + 91 + 44 + 28 + 54 + 16 + 48 + 74\)[/tex].
2. Count the number of data values:
- There are 8 data values in the sample.
3. Divide the sum by the number of data values:
- Take the sum obtained in step 1 and divide it by the total number of data values from step 2.
Detailed Calculation:
1. Sum the values:
[tex]\[
13 + 91 + 44 + 28 + 54 + 16 + 48 + 74 = 368
\][/tex]
2. Count the number of values:
[tex]\[
\text{Number of values} = 8
\][/tex]
3. Calculate the mean:
[tex]\[
\text{Sample Mean} = \frac{\text{Sum of Values}}{\text{Number of Values}} = \frac{368}{8} = 46.0
\][/tex]
So, the sample mean of the given data values [tex]\(13, 91, 44, 28, 54, 16, 48, 74\)[/tex] is [tex]\(46.0\)[/tex].
