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 slope of a line of best fit represents the rate of change. A slope of 8.5 means that for each additional hour studied, the predicted test score increases by 8.5 points.

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

The margin of error formula is approximately ±1.96 × √(p(1-p)/n) = 1.96 × √(0.6×0.4/500) ≈ 1.96 × 0.0219 ≈ ±4.3%, closest to ±4.4%.

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

The range 62 to 82 represents the mean ± 2 standard deviations (72-10 to 72+10). By the empirical rule, approximately 95% of data falls within 2 standard deviations of the mean.

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

To determine association in a two-way table, you compare relative frequencies (proportions) across groups. If the proportions differ substantially between groups, an association likely exists.

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 distance from Q3 to the upper whisker (95-70=25) is greater than Q1 to the lower whisker (45-20=25), but the median (55) is closer to Q1 (45) than Q3 (70), indicating right skew.

Bluebook SAT Practice Test Practice Test

Bluebook SAT Practice Test Practice Test

FREE SAT Data Analysis & Statistics Questions and Answers 2