To calculate the mean (average) of a given data set, you follow these steps:
1. Sum the Values: Add all the numbers in the data set together.
Given data set: [tex]\( 5, 10, 12, 4, 6, 11, 13, 5 \)[/tex]
Sum of the values:
[tex]\[
5 + 10 + 12 + 4 + 6 + 11 + 13 + 5 = 66
\][/tex]
2. Count the Values: Determine how many numbers are in the data set.
There are 8 numbers in the data set.
3. Divide the Sum by the Count: Take the sum of the values and divide it by the count of the values.
[tex]\[
\text{Mean} = \frac{\text{Sum of values}}{\text{Number of values}} = \frac{66}{8} = 8.25
\][/tex]
Therefore, the mean of the data set [tex]\(5, 10, 12, 4, 6, 11, 13, 5\)[/tex] is [tex]\(8.25\)[/tex].
