Percentile problem

[Auree123]

In a distribution of 8500 parameters, if 26.7 is 56 percentile and 37.1 is 78 percentile, then what is the percentile of x (26.7<=x<= 37), that is closest in this range?
A. 1888
B. 4750
C. 6650
& so on....

[lime]

78 - 56 = 22% lies in [26.7; 37] range. Which corresponds to 1870 parameters. The closest answer choice is A.

[VinayDeore]

I think the answer is B.

if 26.7 is 56 percentile and 37.1 is 78 percentile, then what is the percentile of x (26.7<=x<= 37),

56 % means 4760 parameters , 78 % means 6630 parameters.
If percentile is btw (26.7<=x<= 37), it will be between 4760.

so the closest number i found is 4750.

QA please

[smbabu]

i go with A (1888)

What is OA?

[dissa]

Yes, answer (A)

8500(78/100 - 56/100) = 85 x 22 = 1870

What is the OA?

[rupali41]

Originally Posted by VinayDeore

I think the answer is B.

if 26.7 is 56 percentile and 37.1 is 78 percentile, then what is the percentile of x (26.7<=x<= 37),

56 % means 4760 parameters , 78 % means 6630 parameters.
If percentile is btw (26.7<=x<= 37), it will be between 4760.

so the closest number i found is 4750.

QA please

I believe your explanation but the question asks for the range (Highest number-smallest number).

[Auree123]

Originally Posted by dissa

Yes, answer (A)

8500(78/100 - 56/100) = 85 x 22 = 1870

What is the OA?

I have no OA for this problem

[VinayDeore]

i think the question is bit wrongly framed.
It should ask for number of parameters present within the percentile range (26.7<=x<= 37). Also the answer choice is not percentile.

so parameter lists range will be 4760 <=Y<=6630.

simply think of any exam in which percentile is measured. 99 percentile means the candidate has score greater than 99 students in 100.i had the same appraoch for above problem.

The difference does not make sense.

If that helps...