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

Step-by-step explanation:

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

$\frac{x-pop. mean}{stan. devi.}$

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

History:

$\frac{85-65}{5}  = 4$

Biology:

$\frac{90-85}{10} =0.5$

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