Calculate and use z-scores

Question 1

Heights have mean 167 cm and standard deviation 8 cm. What height has a z-score of 2?

Answer 

Question 2

Priya scored 60 in maths (mean 59, sd 10) and 74 in science (mean 59, sd 6). Relative to the class, which was the better result?

• A. Maths
• B. Science

Question 3

A test has mean 77 and standard deviation 5. Find the z-score of a mark of 79.5.

Answer 

Question 4

Heights have mean 165 cm and standard deviation 10 cm. What height has a z-score of 2.5?

Answer 

Question 5

Hiro scored 63 in maths (mean 60, sd 8) and 72 in science (mean 55, sd 12). Relative to the class, which was the better result?

• A. Maths
• B. Science

Question 6

A test has mean 69 and standard deviation 7. Find the z-score of a mark of 76.

Answer 

Question 7

Heights have mean 162 cm and standard deviation 10 cm. What height has a z-score of 1?

Answer 

Question 8

Ben scored 52 in maths (mean 50, sd 6) and 87 in science (mean 68, sd 10). Relative to the class, which was the better result?

• A. Maths
• B. Science

Question 9

A test has mean 43 and standard deviation 9. Find the z-score of a mark of 56.5.

Answer 

Question 10

Heights have mean 156 cm and standard deviation 4 cm. What height has a z-score of 1.5?

Answer 

Question 11

Isla scored 68 in maths (mean 51, sd 6) and 60 in science (mean 57, sd 7). Relative to the class, which was the better result?

• A. Maths
• B. Science

Question 12

A test has mean 60 and standard deviation 5. Find the z-score of a mark of 62.5.

Answer 

Question 13

Heights have mean 170 cm and standard deviation 5 cm. What height has a z-score of −1?

Answer 

Question 14

Liam scored 75 in maths (mean 59, sd 10) and 90 in science (mean 75, sd 5). Relative to the class, which was the better result?

• A. Maths
• B. Science

Question 15

A test has mean 50 and standard deviation 11. Find the z-score of a mark of 39.

Answer 

Question 16

Heights have mean 162 cm and standard deviation 8 cm. What height has a z-score of 1.5?

Answer