To find the mean of a given set of data values, follow these steps:
1. Sum the data values: First, add together all the individual values in the dataset.
[tex]\[
22 + 37 + 49 + 15 + 92 = 215
\][/tex]
2. Count the number of data values: Determine how many values are in the dataset. In this case, there are 5 values.
3. Divide the sum by the number of data values: Divide the total sum by the number of values to find the mean.
[tex]\[
\frac{215}{5} = 43.0
\][/tex]
Thus, the mean of the data values [tex]\(22, 37, 49, 15, 92\)[/tex] is [tex]\(43.0\)[/tex].