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The table above shows the distribution of test scores for a

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The table above shows the distribution of test scores for a [#permalink] New post 07 Apr 2012, 14:54
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68% (01:32) correct 32% (00:33) wrong based on 182 sessions
SCORE INTERVAL----------------NUMBER OF SCORES

50-59-------------------------- 2
60-69--------------------------10
70-79--------------------------16
80-89--------------------------27
90-99--------------------------18

The table above shows the distribution of test scores for a group of management trainees. Which score interval contains the median of the 73 scores?

A. 60-69
B. 70-79
C. 80-89
D. 90-99
E. It cannot be determined from the information given.

Please explain your answer.
[Reveal] Spoiler: OA

Last edited by Bunuel on 07 Apr 2012, 15:07, edited 2 times in total.
Edited the question and added the OA
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Re: SCORE INTERVAL NUMBER OF SCORES - SOURCE GMAT PREP [#permalink] New post 07 Apr 2012, 15:04
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rpamecha wrote:
SCORE INTERVAL----------------NUMBER OF SCORES

50-59-------------------------- 2
60-69--------------------------10
70-79--------------------------16
80-89--------------------------27
90-99--------------------------18

The table shown above has distribution of test scores. Which score interval contains the median of the 73 scores?

A. 60-69
B. 70-79
C. 80-89
D. 90-99
E. Cannot be determined.

Please explain your answer.


Median of 73 data points is the middle term - 37rd score. First 3 score ranges cover total of 28 scores (2+10+16), 37rd will be in fourth range (it covers scores from 29 to 55).

Answer: C.
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Re: GMAT Prep PS [#permalink] New post 23 Sep 2012, 23:30
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Since there are 73 scores so the median will be the 37th score from the starting.
Which will lie in the 80-89 interval sot eh answer will be C

Hope it helps!
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Re: The table above shows the distribution of test scores for a [#permalink] New post 09 Nov 2012, 06:47
we are asked to find the median of the 73 scores, which is the 37th term.

Now if we arrange the number of scores( not score intervals ) in ascending order as shown below which is what we do when we want to calculate the median of a number of terms:the Median term 37th falls in the 90-99 interval.

Confused as to , why we shouldn't arrange the frequency ( no. of scores in a particular interval ) in ascending order when calculating the Median.

50-59-------------------------- 2
60-69--------------------------10
70-79--------------------------16
90-99--------------------------18
80-89--------------------------27
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Re: The table above shows the distribution of test scores for a [#permalink] New post 23 May 2014, 13:04
Even I have the same question. I too followed this method and got the interval 90-99

Any help here?


stne wrote:
we are asked to find the median of the 73 scores, which is the 37th term.

Now if we arrange the number of scores( not score intervals ) in ascending order as shown below which is what we do when we want to calculate the median of a number of terms:the Median term 37th falls in the 90-99 interval.

Confused as to , why we shouldn't arrange the frequency ( no. of scores in a particular interval ) in ascending order when calculating the Median.

50-59-------------------------- 2
60-69--------------------------10
70-79--------------------------16
90-99--------------------------18
80-89--------------------------27

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Re: The table above shows the distribution of test scores for a [#permalink] New post 23 May 2014, 23:26
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stne wrote:
we are asked to find the median of the 73 scores, which is the 37th term.

Now if we arrange the number of scores( not score intervals ) in ascending order as shown below which is what we do when we want to calculate the median of a number of terms:the Median term 37th falls in the 90-99 interval.

Confused as to , why we shouldn't arrange the frequency ( no. of scores in a particular interval ) in ascending order when calculating the Median.

50-59-------------------------- 2
60-69--------------------------10
70-79--------------------------16
90-99--------------------------18
80-89--------------------------27


Hi Stne,
To find median of test-scores,we have to arrange them in an order (ascending or descending) and find the middle term.Now,the middle term is 37 th term in the order.

For the score distribution ,one can add one more column Cumulative frequency

SCORE INTERVAL---------NUMBER OF SCORES --------- Cumulative Frequency

50-59-------------------------- 2----------------------------- 2
60-69--------------------------10---------------------------- 12
70-79--------------------------16-----------------------------28
80-89--------------------------27-----------------------------55
90-99--------------------------18-----------------------------73

We can see arranging the scores in ascending, shows first 28 test scores are below 80.
Next 27 scores , i.e. 29th,30th,....,37th,......,55th score appear in SCORE INTERVAL 80-89.
So median is in interval 80-89.
Hope it helps.:)

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Re: The table above shows the distribution of test scores for a [#permalink] New post 24 Sep 2014, 22:18
gmatacequants wrote:
stne wrote:
we are asked to find the median of the 73 scores, which is the 37th term.

Now if we arrange the number of scores( not score intervals ) in ascending order as shown below which is what we do when we want to calculate the median of a number of terms:the Median term 37th falls in the 90-99 interval.

Confused as to , why we shouldn't arrange the frequency ( no. of scores in a particular interval ) in ascending order when calculating the Median.

50-59-------------------------- 2
60-69--------------------------10
70-79--------------------------16
90-99--------------------------18
80-89--------------------------27


Hi Stne,
To find median of test-scores,we have to arrange them in an order (ascending or descending) and find the middle term.Now,the middle term is 37 th term in the order.

For the score distribution ,one can add one more column Cumulative frequency

SCORE INTERVAL---------NUMBER OF SCORES --------- Cumulative Frequency

50-59-------------------------- 2----------------------------- 2
60-69--------------------------10---------------------------- 12
70-79--------------------------16-----------------------------28
80-89--------------------------27-----------------------------55
90-99--------------------------18-----------------------------73

We can see arranging the scores in ascending, shows first 28 test scores are below 80.
Next 27 scores , i.e. 29th,30th,....,37th,......,55th score appear in SCORE INTERVAL 80-89.
So median is in interval 80-89.
Hope it helps.:)

Please press kudos if it helped.


Kudos is the best form of appreciation
Kindly check the post with the poll and revert with your replies
10-straight-lines-no-two-of-which-are-parallel-and-no-three-171525.html


Just a small thing to add....

If the sequence is placed in the reverse order (starting 90-99 to end at 50-59), the answer remains the same :)
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Re: The table above shows the distribution of test scores for a   [#permalink] 24 Sep 2014, 22:18
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