Bluebook SAT Test One-Variable Data: Distributions and Measures of Center and Spread 2

Question 1

A dataset has values 5, 5, 5, 5, 5. What is the standard deviation of this dataset?

Accepted Answer

0

Answer

1

Answer

5

Answer

Cannot be determined

Question 2

Which of the following datasets has the greatest range?

Accepted Answer

{5, 15, 25, 35, 100}

Answer

{10, 20, 30, 40, 50}

Answer

{2, 18, 22, 28, 42}

Answer

{8, 16, 24, 32, 48}

Question 3

The median of the dataset {3, 7, 9, 12, 15, x} is 10.5. What is the value of x?

Accepted Answer

12

Answer

10

Answer

9

Answer

11

Question 4

A dot plot shows quiz scores for 12 students. The scores cluster around 85 with one score of 20. If the outlier is removed, which of the following will change the most?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Shape of distribution

Question 5

Dataset: {4, 6, 8, 10, 12}. Each value is multiplied by 3. What happens to the mean and standard deviation?

Accepted Answer

Mean triples; standard deviation triples

Answer

Mean triples; standard deviation stays the same

Answer

Mean stays the same; standard deviation triples

Answer

Both mean and standard deviation stay the same

Question 6

A symmetric, bell-shaped distribution has a mean of 50 and a standard deviation of 5. Approximately what percentage of data falls between 40 and 60?

Accepted Answer

95%

Answer

68%

Answer

99.7%

Answer

50%

Question 7

The five-number summary for a dataset is: Min=3, Q1=10, Median=18, Q3=26, Max=40. A value of 60 is added to the dataset. Which summary statistic is most affected?

Accepted Answer

Max

Answer

Min

Answer

Median

Answer

Q1