Your friend finds the mean and median of the data set: 40, 38, 62, 70, 56, 41, 58, 48, 60, 45. Your friend says that the mean and median are both 52. Is your friend correct? If not, find the correct answer.(1 point) Responses

Answer 1

To find the mean, add up all the numbers and divide by the total number of values:
(40 + 38 + 62 + 70 + 56 + 41 + 58 + 48 + 60 + 45) / 10 = 508 / 10 = 50.8

So the correct mean is 50.8, not 52.

To find the median, first rearrange the numbers in ascending order:
38, 40, 41, 45, 48, 56, 58, 60, 62, 70

Since there are 10 numbers, the median is the average of the two middle numbers (48 and 56):
(48 + 56) / 2 = 104 / 2 = 52

So the correct median is 52, which means your friend was correct in this case.