Unit 5 Lesson 6: Mid Unit 5 Test (Part 2) April 16, 2021 Page 1 of 1
Be sure to SHOW YOUR WORK
This must be printed out and handwritten to be accepted!
1. (15 points) In order to graduate from Ohio, you need to earn 3 points on an Algebra EOC or score remediation
free scores on the ACT and SAT math exams. The EOC exams are normally distributed with a mean of 703.27
and a standard deviation of 34.14. A score of 700 is needed to earn 3 points.
a. Fill in the values of each standard deviation above and below the mean, and make sure to add in the value
of the mean. Answers only are fine.

b. What would be the z-score for a 700 on the EOC? Show work.
c. You can also earn math credit by scoring a remediation free score on the ACT. ACT tests have a mean
value of 20.3 and a standard deviation of 5.52. What would be a z-score for a 22 on the ACT? Show work.

d. You can also earn math credit by scoring a remediation free score on the SAT. SAT tests have a mean value
of 547 and a standard deviation of 120. What would be a z-score for a 530 on the SAT? Show work.

e. Of the three testing options, which would be statistically easier to earn? Circle the answer and explain
your reasoning. EOC ACT SAT