Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if your friend is correct, let's first calculate the mean and median of the data set:

Mean:
To find the mean, we need to 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 = 518
Mean = 518 / 10 = 51.8

Median:
To find the median, we first need to arrange the data set in ascending order:
38, 40, 41, 45, 48, 56, 58, 60, 62, 70

Since there are an even number of values in the data set, the median will be the average of the two middle values:
(48 + 56) / 2 = 52

Therefore, your friend is incorrect. The mean of the data set is 51.8, and the median is 52.