Math Question on scores

Question

The scores on a test are normally distributed with a mean of

150

and a standard deviation of

30.

Find the score that is

1 and one half

standard deviations above the mean.

Answer 1

1.5 standard deviations above the mean for this scenario means taking

mean + 1.5*(standard deviation)

=150 + 1.5(30)

=150 + 45

=195

so a score of 195 on this test would be 1.5 standard deviations above the mean

Answer 2

1 and one half can be written as 1.5.

We multiply the amount of standard deviations (SDs) by the SD. 1.5*30=45

Then add to the mean, since we are looking for above 150+45

=195