40, 45, 45, 50, 50, 60, 70, 75, 95, 100 The scores on

This topic has expert replies
Legendary Member
Posts: 1622
Joined: Thu Mar 01, 2018 7:22 am
Followed by:2 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 7223
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

by Scott@TargetTestPrep » Sun May 12, 2019 6:12 pm
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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage