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) Responses My friend is not correct. The mean is 51.8. The median is 52. My friend is not correct. The mean is 51.8. The median is 52. My friend is correct. My friend is correct. My friend is not correct. The mean is 52. The median is 51.8. My friend is not correct. The mean is 52. The median is 51.8. My friend is not correct. The mean is 51.8. The median is 48.5.

1 answer

To find the correct answer, let's calculate the mean and median of the data set:

Mean:
(40+38+62+70+56+41+58+48+60+45)/10 = 510/10 = 51

Median:
Arrange the data set 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 5th and 6th numbers: (48+56)/2 = 52

Therefore, your friend is not correct. The correct answer is:
Mean = 51
Median = 52
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