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The table above shows the distribution of test scores for a

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Re: The table above shows the distribution of test scores for a  [#permalink]

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New post 05 Jan 2017, 20:16
rpamecha wrote:
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.



Given that there are 73 scores >> median =36
Median will be the middle number when these are arranged in increasing order ,
if we look at the ranges :
SCORE INTERVAL----------------NUMBER OF SCORES>> Cumulative scores
50-59-------------------------- 2>> 2
60-69--------------------------10>> 2+10 =12
70-79--------------------------16>> 12 +16 = 28
80-89--------------------------27>> 28 + 27= 55
90-99--------------------------18>> 55 + 18= 73
Therefore, the median score i.e.36 comes in the (28+27) part
Hence, the interval is 80-89.

Ans : C
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Re: The table above shows the distribution of test scores for a  [#permalink]

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New post 22 Feb 2018, 16:47
rpamecha wrote:
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.


Since there are 73 scores, the median score will be at the (73+1)/2 = 74/2 = 37th position.

Therefore, we need to find the interval that contains the score at the 37th position. From the table, we know that the interval 50–59 contains scores of the 1st and 2nd positions, the interval 60–69 contains scores of the 3rd to 12th positions, the interval 70–79 contains scores of the 13th to 28th positions, and the interval 80–89 contains scores of the 29th to 55th positions.

Thus, the interval 80–89 must contain the median score, i.e., the score at the 37th position.

Answer: C
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Re: The table above shows the distribution of test scores for a  [#permalink]

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New post 07 Mar 2018, 06:18
Silly mistake again, I couldn't fully comprehend the last two lines of the question in the first read...
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Re: The table above shows the distribution of test scores for a &nbs [#permalink] 07 Mar 2018, 06:18

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