Normal Distribution

N:Dure wrote:The variable x is normally distributed. The values of x at the 45th, the 15th, and the Kth percentiles of the distribution are 550, 350 and 450 respectively.



Column A
K

Column B
30

A) Column A is bigger
B) Column B is bigger
C) Both are equal
D) Cannot be determined from the information given


I got 30, i.e. both are equal, is this correct?

Night reader wrote:

N:Dure wrote:The variable x is normally distributed. The values of x at the 45th, the 15th, and the Kth percentiles of the distribution are 550, 350 and 450 respectively.



Column A
K

Column B
30

A) Column A is bigger
B) Column B is bigger
C) Both are equal
D) Cannot be determined from the information given


I got 30, i.e. both are equal, is this correct?

45%-15%=30%;
550-350=200;
distr. values to % => 200/30
test 30% => 15%+15%=30% => 350+ 15*(200/30)= 350+100= 450 => choice C

N:Dure wrote:

Night reader wrote:

N:Dure wrote:The variable x is normally distributed. The values of x at the 45th, the 15th, and the Kth percentiles of the distribution are 550, 350 and 450 respectively.



Column A
K

Column B
30

A) Column A is bigger
B) Column B is bigger
C) Both are equal
D) Cannot be determined from the information given


I got 30, i.e. both are equal, is this correct?

45%-15%=30%;
550-350=200;
distr. values to % => 200/30
test 30% => 15%+15%=30% => 350+ 15*(200/30)= 350+100= 450 => choice C

I don't get this part => 15%+15%=30%=> 350+ 15*(200/30) why 15?