Gmat_mission wrote:40, 45, 45, 50, 50, 60, 70, 75, 95, 100

The scores on a certain history test are shown above. How many scores were greater than the median score but less than the mean score?

A. None
B. One
C. Two
D. Three
E. Four

[spoiler]OA=B[/spoiler]

Source: GMAT Prep

We need to determine how many of the scores given were greater than the median score but less than the mean score. Let's first calculate the mean (or average):

Avg = sum/quantity

Avg = (40 + 45 + 45 + 50 + 50 + 60 + 70 + 75 + 95 + 100)/10

Avg = 630/10 = 63

Next we can determine the median. Since we have 10 numbers, the median is the average of the two middle numbers, when ordered from least to greatest.

Median = (50 + 60)/2

Median = 55

We need to determine how many numbers are greater than 55 and less than 63.

The only number to fits that criterion is 60.

Answer: B