Calculate and use z-scores

Question 1

Heights have mean 179 cm and standard deviation 5 cm. What height has a z-score of 1?

Answer 

Question 2

A test has mean 47 and standard deviation 5. Find the z-score of a mark of 62.

Answer 

Question 3

Felix scored 85 in maths (mean 65, sd 6) and 74 in science (mean 69, sd 11). Relative to the class, which was the better result?

• A. Maths
• B. Science

Question 4

Heights have mean 167 cm and standard deviation 9 cm. What height has a z-score of −2?

Answer 

Question 5

A test has mean 58 and standard deviation 8. Find the z-score of a mark of 74.

Answer 

Question 6

Tariq scored 74 in maths (mean 60, sd 10) and 63 in science (mean 62, sd 11). Relative to the class, which was the better result?

• A. Maths
• B. Science

Question 7

Heights have mean 173 cm and standard deviation 9 cm. What height has a z-score of 2?

Answer 

Question 8

A test has mean 59 and standard deviation 3. Find the z-score of a mark of 53.

Answer 

Question 9

Liam scored 70 in maths (mean 68, sd 11) and 90 in science (mean 73, sd 13). Relative to the class, which was the better result?

• A. Maths
• B. Science

Question 10

Heights have mean 157 cm and standard deviation 10 cm. What height has a z-score of 2?

Answer 

Question 11

A test has mean 59 and standard deviation 9. Find the z-score of a mark of 77.

Answer 

Question 12

Arjun scored 72 in maths (mean 52, sd 10) and 76 in science (mean 73, sd 7). Relative to the class, which was the better result?

• A. Maths
• B. Science

Question 13

Heights have mean 159 cm and standard deviation 5 cm. What height has a z-score of 2.5?

Answer 

Question 14

A test has mean 67 and standard deviation 12. Find the z-score of a mark of 73.

Answer 

Question 15

Yuki scored 75 in maths (mean 61, sd 6) and 71 in science (mean 62, sd 9). Relative to the class, which was the better result?

• A. Maths
• B. Science

Question 16

Heights have mean 158 cm and standard deviation 6 cm. What height has a z-score of 1.5?

Answer