To find the mean (average) of the given data set, follow these steps:
1. List the data values:
The given data values are [tex]\( 15, 21, 46, 49, 31, 24 \)[/tex].
2. Sum the data values:
Add all the data values together:
[tex]\[
15 + 21 + 46 + 49 + 31 + 24 = 186
\][/tex]
3. Count the number of data values:
There are 6 data values in the set.
4. Divide the sum by the number of data values:
[tex]\[
\bar{x} = \frac{\text{Sum of the data values}}{\text{Number of data values}} = \frac{186}{6}
\][/tex]
5. Simplify the division:
[tex]\[
\bar{x} = \frac{186}{6} = 31
\][/tex]
So, the mean of the data is [tex]\(\bar{x} = 31\)[/tex].
[tex]\[
\bar{x} = 31.0
\][/tex]
