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

Quizplus · Accepted Answer

To find the median, we need to first arrange the values in order: $2,$4,$7,$8,$9,$9,$10. The median is the middle value, which is $8$.
To find the mean, we can add up all the values and divide by the number of values: 
$(2+4+7+8+9+9+10)/7 = 7.14$
To find the mode, we look for the value that appears most frequently. In this case, there are two modes: $9$ appears twice. 
Therefore, the median is greater than the mean ($8 > 7.14$) and less than the mode ($9$). So the best choice is C.

Seven Members of a Boys' Club Reported the Following Individual