Seven members of a boys' club reported the following individual earnings from their sale of cookies: $2,$9,$8,$10,$4,$9,and $7. In this distribution of individual earnings

A) the median is greater than the mean and greater than the mode.
B) the median is less than the mean and less than the mode.
C) the median is greater than the mean and less than the mode.
D) the median is less than the mean and greater than the mode.

Question

Karan Yadav · Accepted Answer

Final Answer : C, Explanation :  First, we need to find the median, mean, and mode. The median can be found by putting the values in order and finding the middle number. Putting them in order gives: $2,$4,$7,$8,$9,$9,$10. So the median is 8. The mean can be found by adding up all the earnings and dividing by the number of members. In this case, the sum is 49 and there are 7 members, so the mean is 7. The mode is the most common value, which is 9 in this case.Since the median is between the mean and mode, and the mean is lower than the mode, the best choice is C, the median is greater than the mean and less than the mode.

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