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The table above shows the distribution of scores on a geography quiz
[#permalink]
Updated on: 07 Apr 2018, 11:40
Updated on: 07 Apr 2018, 11:40
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A
B
C
D
E
Difficulty:
25%
(medium)
Question Stats:
77% (01:36) correct
23%
(01:40)
wrong
based on 1134
sessions
The table above shows the distribution of scores on a geography quiz given to a class of 25 students. Which of the following is closest to the average (arithmetic mean) quiz score for the class?
A. 8.6
B. 8.5
C. 8.4
D. 8.3
E. 8.0
Attachment:
gmat quiz question.JPG [ 14.5 KiB | Viewed 26491 times ]
Originally posted by hmazariegos on 07 Apr 2018, 11:09.
Last edited by Bunuel on 07 Apr 2018, 11:40, edited 1 time in total.
Last edited by Bunuel on 07 Apr 2018, 11:40, edited 1 time in total.
Edited the question and added the options.
Re: The table above shows the distribution of scores on a geography quiz
[#permalink]
28 Dec 2020, 09:56
28 Dec 2020, 09:56
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I always use the base point method to avoid big calculation and therefore get the result under 1 minute:
First, without weighted average, the AVG is 8 : (first term+last term)/2 = (6+10)/2 = 8
Now let's take the AVG 8 as our base point:
Scores from base point 8 : 6 is -2 from base point, 7 is -1, 9 is +1 and 10 is +2
Finally, let's proceed to calculate the weighted average:
-2*(2/25)-1*(4/25)+1*(9/25)+2*(3/25) = -4/45-4/25+9/25+6/25=7/25=28/100 or 0.28
Add the result to the basepoint : 8+0.28= 8.28
Answer D)
First, without weighted average, the AVG is 8 : (first term+last term)/2 = (6+10)/2 = 8
Now let's take the AVG 8 as our base point:
Scores from base point 8 : 6 is -2 from base point, 7 is -1, 9 is +1 and 10 is +2
Finally, let's proceed to calculate the weighted average:
-2*(2/25)-1*(4/25)+1*(9/25)+2*(3/25) = -4/45-4/25+9/25+6/25=7/25=28/100 or 0.28
Add the result to the basepoint : 8+0.28= 8.28
Answer D)
General Discussion
Re: The table above shows the distribution of scores on a geography quiz
[#permalink]
07 Apr 2018, 11:14
07 Apr 2018, 11:14
Here is how i solved it:
(6*2) + (7*4) + (8*7) + (9*9) + (10*3) / (2 + 4 + 7 + 9 + 3)
207 / 25 = 8.28 ~ 8.3 hence answer is "D"
(6*2) + (7*4) + (8*7) + (9*9) + (10*3) / (2 + 4 + 7 + 9 + 3)
207 / 25 = 8.28 ~ 8.3 hence answer is "D"
