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)

1 answer

To find the mean, add up all the numbers in the data set and then divide by the total number of values:

(40 + 38 + 62 + 70 + 56 + 41 + 58 + 48 + 60 + 45) / 10 = 518 / 10 = 51.8

So, the mean is actually 51.8, not 52.

To find the median, you first need to put the numbers in order:

38, 40, 41, 45, 48, 56, 58, 60, 62, 70

Since there are 10 numbers, the median will be the average of the 5th and 6th numbers (since there is an even number):

(48 + 56) / 2 = 104 / 2 = 52

Therefore, the correct median is 52.

In conclusion, your friend was correct about the median being 52, but incorrect about the mean, which is actually 51.8.