Question

Four students took a national standardized test for which the mean was 500 and the standard deviation was 100. If a student’s z-value was 1.75 on the test, what was the student’s score?
a.
675
c.
645
b.
650
d.
700

Answer 1

A z-value of 1.75 means that the data point (the student's score) was 1.75 standard deviations above the mean.

The standard deviation is 100, and the mean is 500, so 1.75 standard deviations above the mean would be 175 points above 500. Which of the answer choices matches that result?

Answer 2

a?

Answer 3

I think that's correct, yup.
100*1.75 is 175, added to 500 would be 675

Answer 4

thx

Answer 5

No problem :)