Bluebook SAT Test One-Variable Data: Distributions and Measures of Center and Spread 3

Question 1

The mode of the dataset {2, 3, 3, 5, 7, 7, 7, 9} is:

Accepted Answer

7

Answer

3

Answer

5

Answer

9

Question 2

Two datasets each have 10 values and the same mean of 20. Dataset X has values all between 18 and 22, while Dataset Y has values ranging from 5 to 35. Which has the greater standard deviation?

Accepted Answer

Dataset Y

Answer

Dataset X

Answer

They are equal

Answer

Cannot be determined from this information

Question 3

A box plot has whiskers extending from 10 to 90, with Q1=30 and Q3=70. A data point at 95 would be classified as:

Accepted Answer

A mild outlier

Answer

Within the IQR

Answer

Exactly at Q3

Answer

Cannot be determined

Question 4

A dataset of 9 values has a median of 15. A 10th value of 15 is added. What happens to the median?

Accepted Answer

The median remains 15

Answer

The median increases to more than 15

Answer

The median decreases to less than 15

Answer

The median cannot be determined

Question 5

The histogram below shows the distribution of test scores in a class. The distribution is left-skewed (skewed toward lower values). Which is most likely true?

Accepted Answer

Mode > Median > Mean

Answer

Mean > Median > Mode

Answer

Mean = Median = Mode

Answer

Median > Mean > Mode

Question 6

Students' weekly study hours: 2, 4, 4, 5, 6, 6, 6, 8, 10. What is the mean number of study hours?

Accepted Answer

5.67

Answer

5

Answer

6

Answer

5.5

Question 7

If a constant of 10 is added to every value in a dataset, what happens to the mean and standard deviation?

Accepted Answer

Mean increases by 10; standard deviation stays the same

Answer

Mean increases by 10; standard deviation increases by 10

Answer

Mean stays the same; standard deviation increases by 10

Answer

Both mean and standard deviation increase by 10