FREE SAT Data Analysis & Statistics Questions and Answers 2

Question 1

A scatter plot shows the relationship between hours studied and test scores for 25 students. The line of best fit has a slope of 8.5. What does this slope represent?

Accepted Answer

Each additional hour of study is associated with an 8.5-point increase in test score

Answer

The average test score is 8.5

Answer

85% of the variation is explained by study hours

Answer

Students who studied scored 8.5 times higher

Question 2

A survey found that 60% of 500 respondents preferred Brand A. What is the margin of error at a 95% confidence level (approximately)?

Accepted Answer

±4.4%

Answer

±2.2%

Answer

±6.0%

Answer

±10.0%

Question 3

In a data set, the mean is 72 and the standard deviation is 5. Approximately what percentage of values fall between 62 and 82?

Accepted Answer

95%

Answer

68%

Answer

99.7%

Answer

50%

Question 4

A two-way table shows the relationship between gender and preference for two activities. Which value would you calculate to determine if there is an association?

Accepted Answer

The relative frequencies within each column

Answer

The mean of each row

Answer

The sum of all cells

Answer

The range of each row

Question 5

A box plot shows Q1 = 45, median = 55, Q3 = 70, with whiskers at 20 and 95. Which statement is true?

Accepted Answer

The data is skewed right

Answer

The data is symmetric

Answer

The data is skewed left

Answer

Exactly 50% of the data falls between 20 and 55

Question 6

A researcher collects data from 200 randomly selected households about income and education level. Which type of study is this?

Accepted Answer

Observational study

Answer

Experiment

Answer

Clinical trial

Answer

Census