FREE SAT Data Analysis & Statistics Questions and Answers

Question 1

The scores for 7 students on a quiz were 72, 78, 81, 85, 92, 92, and 98. If an 8th student takes the quiz and scores a 60, how will the mean and median of the scores change?

Accepted Answer

Both the mean and the median will decrease.

Answer

The mean will decrease, and the median will increase.

Answer

The mean will increase, and the median will decrease.

Answer

Both the mean and the median will increase.

Question 2

A scatterplot shows the relationship between the number of hours a student studies per week and their grade point average (GPA). The data is fitted with a line of best fit given by the equation `y = 0.15x + 1.8`, where `y` is the GPA and `x` is the hours studied. What is the best interpretation of the slope of this line?

Accepted Answer

For each additional hour of study, the GPA is predicted to increase by 0.15.

Answer

A student who doesn't study is predicted to have a GPA of 0.15.

Answer

The average GPA of all students is 0.15.

Answer

The maximum possible GPA is 0.15 points higher than the minimum.

Question 3

Two different classes, Class A and Class B, took the same science test. The test scores for each class are summarized in two box plots. The box for Class A is much wider than the box for Class B. Which of the following is a correct conclusion from this information?

Accepted Answer

The variability in scores for the middle 50% of students is greater in Class A.

Answer

The median score of Class A is higher than the median score of Class B.

Answer

The mean score of Class A is higher than the mean score of Class B.

Answer

Class A had more students than Class B.

Question 4

The table shows the distribution of 200 students at a high school by grade level and their primary mode of transportation. Of the students who are juniors, what fraction walk to school?

| Grade   | Car | Bus | Walk | Total |
|---------|-----|-----|------|-------|
| Junior  | 30  | 20  | 10   | 60    |
| Senior  | 70  | 40  | 30   | 140   |
| Total   | 100 | 60  | 40   | 200   |

Accepted Answer

1/6

Answer

1/20

Answer

1/4

Answer

3/10

Question 5

Data set A and Data set B each contain 100 numbers. The frequency distribution for Data set A is tall and narrow, while the frequency distribution for Data set B is short and wide. Which of the following statements is most likely true?

Accepted Answer

The standard deviation of B is greater than the standard deviation of A.

Answer

The mean of A is greater than the mean of B.

Answer

The standard deviation of A is greater than the standard deviation of B.

Answer

The range of A is equal to the range of B.

Question 6

The salaries of 10 employees at a small company are listed. Nine employees earn between $40,000 and $60,000, while the CEO earns $350,000. Which measure of center would be most affected by the CEO's salary?

Accepted Answer

The mean

Answer

The median

Answer

The mode

Answer

The range

Question 7

A dot plot displays the number of siblings for each of the 20 students in a class. The minimum value on the dot plot is 0 and the maximum value is 5. What is the range of the data?

Accepted Answer

5

Answer

3

Answer

4

Answer

20

The scores for 7 students on a quiz were 72, 78, 81, 85, 92, 92, and 98.If an 8th student takes the quiz and scores a 60, how will the mean and median of the scores change?

The scores for 7 students on a quiz were 72, 78, 81, 85, 92, 92, and 98.
If an 8th student takes the quiz and scores a 60, how will the mean and median of the scores change?