Final answer:
The mean of the given data set is approximately 44.71.
Step-by-step explanation:
To find the mean of a data set, you need to calculate the sum of all the numbers and then divide it by the total number of values. In this case, the data set is: 29, 38, 45, 31, 50, 58, and 62. Adding up all the numbers gives us a total of 313. Since there are 7 values in the data set, we divide the sum by 7 to find the mean: 313 / 7 = 44.71.
Therefore, the mean of the data set is approximately 44.71.