Question

The mean verbal SAT score at a certain college is 450, with a standard deviation of 87. Find the SAT score for the students who scored in the 99th percentile.

Answer 1

Solution:-

Let, X : Verbal SAT score at certain college

And assume that, X has normal population

We have given that,

Mean() = 450

And

Standard deviation () = 87

Now,

We have to find the SAT score for the students who scored in the 99th percentile.

i.e. we have to find value of "k" such that P(X<=k) =0.99

Now,

By using Excel command, "k" can be calculated as

Therefore

it gives,

Result:-