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
To find the mean, we add up all the numbers in the data set and then divide by the total number of numbers.
40 + 38 + 62 + 70 + 56 + 41 + 58 + 48 + 60 + 45 = 518
Mean = 518 / 10 = 51.8
To find the median, we first need to arrange 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 middle two numbers, which are 48 and 56:
Median = (48 + 56) / 2 = 52
So, your friend is correct that the median is 52, but the correct mean is 51.8, not 52.