To find the mean of a data set, you need to sum up all the values and then divide the sum by the total number of values.
For the data set (38, 38, 38, 41, 43, 45, 47, 53, 53), the sum of the values is:
38 + 38 + 38 + 41 + 43 + 45 + 47 + 53 + 53 = 398
There are 9 values in the data set.
To find the mean, divide the sum by the total number of values:
Mean = Sum of values / Total number of values
Mean = 398 / 9
Calculating the division, the mean of the data set is approximately 44.22 (rounded to two decimal places).
Therefore, the mean of the data set (38, 38, 38, 41, 43, 45, 47, 53, 53) is 44.22.