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)
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.