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

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

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New post 05 Jan 2015, 06:54
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Tough and Tricky questions: Word Problems.



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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.

[Reveal] Spoiler:
Attachment:
2015-01-05_1753.png
2015-01-05_1753.png [ 4.2 KiB | Viewed 1598 times ]
[Reveal] Spoiler: OA

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

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New post 05 Jan 2015, 09:04
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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.
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Re: The chart above shows the distribution of letter grades for three grou [#permalink]

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New post 05 Jan 2015, 10:38
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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

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

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New post 05 Jan 2015, 17:12
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Image
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.

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

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New post 06 Jan 2015, 00:44
Answer = B. 2.4

Attachment:
2015-01-05_1753.png
2015-01-05_1753.png [ 5.71 KiB | Viewed 1321 times ]


Mean of Group 3 \(= \frac{4*1 + 7*2 + 9*3 + 2*4}{4+7+9+2} = \frac{53}{22} = 2.4\)
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Re: The chart above shows the distribution of letter grades for three grou [#permalink]

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New post 09 Jan 2015, 07:16
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Image
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.

[Reveal] 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).
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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.


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

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Re: The chart above shows the distribution of letter grades for three grou   [#permalink] 10 Oct 2017, 03:39
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