Reason about standard deviation without calculating

Question 1

A set of test scores has standard deviation 7. The teacher adds 9 bonus points to every score. What is the new standard deviation?

Answer 

Question 2

Set X: 34, 37, 40, 43, 46 Set Y: 24, 32, 40, 48, 56 Both have mean 40. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 3

Some lengths have standard deviation 5 cm. Every length is multiplied by 2. What is the new standard deviation, in cm?

Answer 

Question 4

Set X: 26, 33, 40, 47, 54 Set Y: 36, 38, 40, 42, 44 Both have mean 40. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 5

A set of test scores has standard deviation 14. The teacher adds 8 bonus points to every score. What is the new standard deviation?

Answer 

Question 6

Set X: 8, 19, 30, 41, 52 Set Y: 24, 27, 30, 33, 36 Both have mean 30. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 7

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

Answer 

Question 8

Set X: 25, 32, 39, 46, 53 Set Y: 33, 36, 39, 42, 45 Both have mean 39. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 9

Some lengths have standard deviation 8 cm. Every length is multiplied by 4. What is the new standard deviation, in cm?

Answer 

Question 10

Set X: 15, 23, 31, 39, 47 Set Y: 27, 29, 31, 33, 35 Both have mean 31. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 11

Some lengths have standard deviation 4 cm. Every length is multiplied by 2. What is the new standard deviation, in cm?

Answer 

Question 12

Set X: 23, 32, 41, 50, 59 Set Y: 37, 39, 41, 43, 45 Both have mean 41. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 13

A set of test scores has standard deviation 4. The teacher adds 11 bonus points to every score. What is the new standard deviation?

Answer 

Question 14

Set X: 47, 50, 53, 56, 59 Set Y: 37, 45, 53, 61, 69 Both have mean 53. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal

Question 15

A set of test scores has standard deviation 7. The teacher adds 18 bonus points to every score. What is the new standard deviation?

Answer 

Question 16

Set X: 46, 51, 56, 61, 66 Set Y: 52, 54, 56, 58, 60 Both have mean 56. Which set has the larger standard deviation?

• A. X
• B. Y
• C. They are equal