Bluebook SAT Test One-Variable Data: Distributions and Measures of Center and Spread 10

Question 1

A dataset is: 5, 10, 15, 20, 25, 30, 200. Removing the value 200 would most likely:

Accepted Answer

Decrease the mean but leave the median relatively unchanged

Answer

Decrease the mean and increase the median

Answer

Decrease both the mean and the median

Answer

Increase the mean and decrease the median

Question 2

The weights (in pounds) of five packages are 3, 7, 8, 8, and 9. What is the median weight?

Accepted Answer

8

Answer

7

Answer

8.5

Answer

9

Question 3

Two datasets each have 5 values. Dataset P = {10, 10, 10, 10, 10} and Dataset Q = {6, 8, 10, 12, 14}. Which statement is correct?

Accepted Answer

Dataset Q has a larger standard deviation than Dataset P.

Answer

Dataset P has a larger standard deviation than Dataset Q.

Answer

Both datasets have the same standard deviation.

Answer

The standard deviations cannot be compared without the variance.

Question 4

The dot plot below shows the number of books read by students over the summer: 1, 2, 2, 3, 4, 4, 4, 5, 6. What is the mean number of books read?

Accepted Answer

3.4

Answer

3

Answer

4

Answer

3.67

Question 5

A dataset has a range of 40, a Q1 of 25, and a Q3 of 55. What is the interquartile range (IQR)?

Accepted Answer

30

Answer

15

Answer

40

Answer

55

Question 6

A data set has a median of 30. If the two largest values are each increased by 50, what happens to the median?

Accepted Answer

The median stays the same.

Answer

The median increases significantly.

Answer

The median decreases.

Answer

The median cannot be determined without more data.

Question 7

A frequency distribution shows that in a class of 30 students, 10 scored 60, 15 scored 80, and 5 scored 100. What is the mean score?

Accepted Answer

76.7

Answer

75

Answer

78

Answer

80