Reason about standard deviation without calculating

Question 1

Set X: 28, 29, 30, 31, 32 Set Y: 18, 24, 30, 36, 42 Both have mean 30. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 2

A set of test scores has standard deviation 11. The teacher adds 6 bonus points to every score. What is the new standard deviation?

Answer 

Question 3

Set X: 31, 32, 33, 34, 35 Set Y: 17, 25, 33, 41, 49 Both have mean 33. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 4

Some lengths have standard deviation 9 cm. Every length is multiplied by 5. What is the new standard deviation, in cm?

Answer 

Question 5

Set X: 35, 37, 39, 41, 43 Set Y: 23, 31, 39, 47, 55 Both have mean 39. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 6

A set of test scores has standard deviation 14. The teacher adds 18 bonus points to every score. What is the new standard deviation?

Answer 

Question 7

Set X: 42, 48, 54, 60, 66 Set Y: 50, 52, 54, 56, 58 Both have mean 54. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 8

A set of test scores has standard deviation 4. The teacher adds 6 bonus points to every score. What is the new standard deviation?

Answer 

Question 9

Set X: 19, 21, 23, 25, 27 Set Y: 13, 18, 23, 28, 33 Both have mean 23. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 10

A set of test scores has standard deviation 13. The teacher adds 6 bonus points to every score. What is the new standard deviation?

Answer 

Question 11

Set X: 36, 41, 46, 51, 56 Set Y: 44, 45, 46, 47, 48 Both have mean 46. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 12

Some lengths have standard deviation 15 cm. Every length is multiplied by 5. What is the new standard deviation, in cm?

Answer 

Question 13

Set X: 34, 43, 52, 61, 70 Set Y: 48, 50, 52, 54, 56 Both have mean 52. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 14

A set of test scores has standard deviation 11. The teacher adds 16 bonus points to every score. What is the new standard deviation?

Answer 

Question 15

Set X: 20, 22, 24, 26, 28 Set Y: 4, 14, 24, 34, 44 Both have mean 24. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 16

Some lengths have standard deviation 2 cm. Every length is multiplied by 2. What is the new standard deviation, in cm?

Answer