Median Question

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Median Question

by mdwolman » Fri Jan 14, 2011 3:44 am
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 can not be determined
Source: — Problem Solving |

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by arora007 » Fri Jan 14, 2011 3:50 am
the 33rd score should be the median... it lies in the range 80 to 89, answer is C.
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by mdwolman » Fri Jan 14, 2011 3:54 am
Hi, thank you for the rapid response! Is there any chance you could elaborate on your answer?

Thanks again!

mdwolman

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by arora007 » Fri Jan 14, 2011 4:00 am
k...

bascially the median is the middle number.. now the middle number of 73 is 36.5, i.e. the


36 to the left<-------------37th number-------------->36 to the right

now just cumulatively put in the range...

range of 2 nos... no it does not conatin the 37th number
range of 2+10=12 nos... no it does not contain the 37th number
range of 2+10+16=28 nos...no it does not contain the 37th number
range of 2+10+16+27=55 nos... YES it contains the 37th number...

thus the range of 27 numbers between (80-89) has our medain.
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