Bluebook SAT Test One-Variable Data: Distributions and Measures of Center and Spread 4

Question 1

The mean of five numbers is 14. Four of the numbers are 10, 12, 16, and 18. What is the fifth number?

Accepted Answer

14

Answer

12

Answer

16

Answer

10

Question 2

A dot plot shows values: 1, 2, 2, 3, 3, 3, 4, 4, 5. What is the median?

Accepted Answer

3

Answer

2

Answer

3.5

Answer

4

Question 3

A company reports employee salaries. The CEO earns $500,000 while most employees earn around $50,000. Which measure of center should HR use to most accurately represent the typical employee salary?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 4

Dataset A: {1, 5, 5, 5, 9} and Dataset B: {3, 4, 5, 6, 7}. Which dataset has the greater standard deviation?

Accepted Answer

Dataset A

Answer

Dataset B

Answer

They are equal

Answer

Cannot be determined

Question 5

A box plot's median line is positioned closer to Q3 than to Q1. This suggests the distribution is:

Accepted Answer

Left-skewed

Answer

Symmetric

Answer

Right-skewed

Answer

Normal

Question 6

A dataset has mean 20 and standard deviation 4. A new dataset is created by doubling each value and subtracting 5. What is the new standard deviation?

Accepted Answer

8

Answer

4

Answer

3

Answer

11

Question 7

The scores on a math quiz are: 55, 60, 65, 70, 75, 80, 85. If the lowest score (55) is removed, which of the following is true?

Accepted Answer

Both mean and median increase

Answer

Mean increases; median stays the same

Answer

Median increases; mean stays the same

Answer

Both mean and median decrease