Bluebook SAT Test One-Variable Data: Distributions and Measures of Center and Spread 9

Question 1

A dataset contains the values 8, 11, 14, 14, 17, 20, 23. What is the mean of this dataset?

Accepted Answer

15.3

Answer

14

Answer

15

Answer

16

Question 2

A dataset of 8 values has a mean of 16. If every value in the dataset is increased by 4, what is the new mean?

Accepted Answer

20

Answer

16

Answer

18

Answer

64

Question 3

The data values 3, 5, 7, 9, 11, 13, and 15 form an arithmetic sequence. What is the relationship between the mean and the median of this dataset?

Accepted Answer

The mean and median are equal.

Answer

The mean is greater than the median.

Answer

The median is greater than the mean.

Answer

It cannot be determined without more information.

Question 4

A dataset of 10 test scores has a mean of 80. One score of 40 is removed. What is the new mean of the remaining 9 scores?

Accepted Answer

84.4

Answer

80

Answer

82

Answer

86

Question 5

Which of the following describes a dataset where the median is a more appropriate measure of center than the mean?

Accepted Answer

A dataset with a few extremely large values that skew the distribution

Answer

A symmetric bell-shaped distribution

Answer

A dataset with no outliers and roughly equal spread

Answer

A uniform distribution where all values appear equally often

Question 6

The five-number summary of a dataset is: Min = 4, Q1 = 12, Median = 19, Q3 = 28, Max = 50. What is the range?

Accepted Answer

46

Answer

16

Answer

19

Answer

34

Question 7

A teacher records quiz scores for 6 students: 72, 75, 80, 80, 85, 88. What is the mode?

Accepted Answer

80

Answer

75

Answer

82

Answer

88