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, you would add up all the numbers and then divide by the total number of numbers.
40 + 38 + 62 + 70 + 56 + 41 + 58 + 48 + 60 + 45 = 508
Mean = 508 / 10 = 50.8
To find the median, you would arrange the data set in numerical order and find the middle number.
38, 40, 41, 45, 48, 56, 58, 60, 62, 70
Since there are an even number of values, we take the average of the two middle numbers:
Median = (48 + 56) / 2 = 52
So, your friend is correct that the median is 52, but the correct mean for the data set is 50.8.