Question

In History, you earned an exam score of X-85 where the exam average was μ-65 with a standard deviation of σ-5. In Biology, you earned an exam score of X-90 where the exam average was μ י 85 with a standard deviation of σ-10. In which class did you score better compared to your classmates?

A. Biology
B. No answer text provided.
C. You did equally well in both classes.
D. History

Answer 1

Answer: D. History

Explanation:

To answer this question, we need to use the z-score formula written below:

`(x-pop. mean)/(stan. devi.)`

Now we'll just plug in the numbers and solve.

History:

`(85-65)/(5)  = 4`

Biology:

`(90-85)/(10) =0.5`

As we can see, history wields a higher z-score than biology, thus leaving us with option D. History