Statistics & Probability Fun Quiz

Find the 𝑍-score of the given raw scores in a Math test when the mean score is 36 with a standard deviation of 8.

What is the Z-score of 26 scores in a Math test?

• a. -1.25

• b. 0.25

• c. 1.25

• d. -0.25

Find the 𝑍-score of the given raw scores in a Math test when the mean score is 36 with a standard deviation of 8.

What is the Z-score of 39 scores in a

Math test?

• a. -0.375

• b. 1.375

• c. 0.375

• d. -1.375

Answer explanation

The shelf life of a particular bakery product is assumed to be a normally distributed with a mean of 15 days and a standard deviation of 3 days.

• 16. About what percent of the products last between 12 and 15 days?

• a. 32.13%

• b. 30.13%

• c. 31.13%

• d. 34.13%

Find the 𝑍-score of the given raw scores in a Math test when the mean score is 36 with a standard deviation of 8.

What is the Z-score of 42 scores in a Math test?

• a. -0.75

• b. 0.75

• c. -1.75

• d. 1.75

Find the 𝑍-score of the given raw scores in a Math test when the mean score is 36 with a standard deviation of 8.

What is the Z-score of 32 scores in a Math test?

• a. -0.5

• b. 0.5

• c. 1.5

• d. -1.5

Find the 𝑍-score of the given raw scores in a Math test when the mean score is 36 with a standard deviation of 8.

What is the Z-score of 32 scores in a Math test?

• a. -0.125

• b.  1.125

• c. -1.125

• d. 0.125

Scores on a Literature test have an average of 80 with a standard deviation of 6.

What is the 𝑍-score of a student who earned a 74 on the test?

• a. 1

• b. -1

• c. 0

• d.2

On an Intelligence Quotient test with a mean score of 100 and a standard deviation of 15, Patrick scored 85. What is Patrick's 𝑍-score?

• a. 1

• b. -1

• c. 0

• d.2

IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. Arnav Sharma, a 12-year old boy gained a score of 162.

Convert Einstein’s IQ score and Sharma’s score to their corresponding 𝑍-scores.

• a. Einstein: -3.75, Sharma: 3.87

• b. Einstein: 3.75, Sharma: 3.87

• c. Einstein: -2.75, Sharma: 2.87

• d. Einstein: 3.75, Sharma: -3.87

IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. Arnav Sharma, a 12-year old boy gained a score of 162.

What is the difference between the 𝑍-score of Einstein and 𝑍-score of Sharma? 

• a. 0.12

• b. -1.12

• c. -0.12

• d. 1.12