median

Question

Hi,
I found this question on the test magic website. Can someone explain this question to me please.

Thanks

Of the staff members of a certain company, 64 percent of them have salary less than $5000,60 percent is more than $4000, 5 percent is 4900, 11 percent is 4300. What is the median?

gladiator · Answer

Of the staff members of a certain company, 64 percent of them have salary less than $5000,60 percent is more than $4000, 5 percent is 4900, 11 percent is 4300. What is the median?


My approach:

Let the number of staff = 100

From the problem it is understood that, 

 (64 percent of them have salary less than $5000) 

36 members salary is > 5000

 60 percent is more than $4000 

40 members salary is < 4000

24 members salary is between 4000 - 5000
(100-40-36=24)

Here, 11 members get 4300 & 5 members get 4900: Rest 8 members salary is unknown. 

assuming 'any value' for the salaries of these 8 members in the range 4000-5000 doesn't alter the median since the median is the 50th and 51st average. 

when the data is arranged in ascending order 50th and 51st terms are 4300,4300 respectively.

 Hence Median is 4300$.

median

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