The chart above shows the distribution of letter grades for three grou : Problem Solving (PS)

My Profile Logout

Test's Subscription Expires:

My Follow Feed Kudos My Error Log

Messages and Replies

Settings Mark All Read

See All

Applicant Notifications

Settings Mark All Read

See All

Global notifications

Settings Mark All Read

See All

The chart above shows the distribution of letter grades for three grou

Sort by Date

Sort by Kudos

Author

Message

TAGS:

Hide Tags

Math Expert

Joined: 02 Sep 2009

Posts: 50578

The chart above shows the distribution of letter grades for three grou [#permalink]

Show Tags

05 Jan 2015, 05:54

00:00

Difficulty:

45% (medium)

Question Stats:

74% (02:18) correct

26% (02:44) wrong

based on 127 sessions

HideShow timer Statistics

Tough and Tricky questions: Word Problems.

The chart above shows the distribution of letter grades for three groups of students on one test. Point values are assigned to the letter grades so that A = 4 points, B = 3 points, C = 2 points, and D = 1 point. Which of the following values is closest to the average (arithmetic mean) grade of students in group 3?

A. 2.2
B. 2.4
C. 2.9
D. 3.1
E. 3.7

Kudos for a correct solution.

Spoiler: ::

Attachment:

2015-01-05_1753.png [ 4.2 KiB | Viewed 2132 times ]

Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager

Joined: 22 Oct 2014

Posts: 88

Concentration: General Management, Sustainability

GMAT 1: 770 Q50 V45

GPA: 3.8

WE: General Management (Consulting)

Re: The chart above shows the distribution of letter grades for three grou [#permalink]

Show Tags

05 Jan 2015, 08:04

For this one, we only need to calculate the weighted average of the students in group 3.

Two students got an A, 9 got a B, seven got a C and 4 got a D, so the total number of points is 2*4 + 9*2 + 7*2 + 4*1 = 53. With 22 students in total, we get a weighted average of just under 2.5. The Answer is B.
_________________

\(\sqrt{-1}\) \(2^3\) \(\Sigma\) \(\pi\) ... and it was delicious!

Please consider giving +1 Kudos if deserved!

Current Student

Joined: 24 Dec 2014

Posts: 102

Concentration: Strategy, General Management

Schools: HBS '19 (M), Tuck '19 (A), Yale '19 (D)

GMAT 1: 750 Q50 V41

Re: The chart above shows the distribution of letter grades for three grou [#permalink]

Show Tags

05 Jan 2015, 09:38

From the chart:

2*4+9*3+7*2+4*1 / 22 (total students in group 3)

= 53 / 22
= 2 9/22 = ~2.4-2.5

B - 2.4

Manager

Joined: 21 Aug 2010

Posts: 175

Location: United States

GMAT 1: 700 Q49 V35

Re: The chart above shows the distribution of letter grades for three grou [#permalink]

Show Tags

05 Jan 2015, 16:12

Bunuel wrote:

Tough and Tricky questions: Word Problems.

Spoiler: ::

Attachment:

2015-01-05_1753.png

total of group 3 = 4*1 + 7*2 + 9*3 + 2*4 = 53
Total students 22

Mean = 53/22 = 2.4
_________________

-------------------------------------

SVP

Status: The Best Or Nothing

Joined: 27 Dec 2012

Posts: 1827

Location: India

Concentration: General Management, Technology

WE: Information Technology (Computer Software)

Re: The chart above shows the distribution of letter grades for three grou [#permalink]

Show Tags

05 Jan 2015, 23:44

Answer = B. 2.4

Attachment:

2015-01-05_1753.png [ 5.71 KiB | Viewed 1833 times ]

Mean of Group 3 \(= \frac{4*1 + 7*2 + 9*3 + 2*4}{4+7+9+2} = \frac{53}{22} = 2.4\)
_________________

Kindly press "+1 Kudos" to appreciate

Math Expert

Joined: 02 Sep 2009

Posts: 50578

Re: The chart above shows the distribution of letter grades for three grou [#permalink]

Show Tags

09 Jan 2015, 06:16

Bunuel wrote:

Tough and Tricky questions: Word Problems.

Spoiler: ::

Attachment:

2015-01-05_1753.png

OFFICIAL SOLUTION:

(B) There are 4 + 7 + 9 + 2 = 22 students in group 3.

The grade distribution in group 3 was:
4 students received a grade of D.
7 students received a grade of C.9 students received a grade of B.
2 students received a grade of A.

Therefore, the sum of the grade points for group 3 is:
(4 × 1) + (7 × 2) + (9 × 3) + (2 × 4) =
4 + 14 + 27 + 8 = 53.

We can find the average grade in group 3 by dividing this sum by the number of students in group 3:
Average for group 3 = 53/22.

Performing the required division, we see that 2.4 is the closest answer choice.

The correct answer is choice (B).
_________________

Non-Human User

Joined: 09 Sep 2013

Posts: 8766

Re: The chart above shows the distribution of letter grades for three grou [#permalink]

Show Tags

10 Oct 2017, 02:39

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________