FREE SAT Data Analysis & Statistics Questions and Answers 3

Question 1

The equation y = 2.3x + 15 models the relationship between advertising spending (x, in thousands) and revenue (y, in thousands).
If spending increases from $10,000 to $15,000, what is the predicted increase in revenue?

Accepted Answer

$11,500

Answer

$2,300

Answer

$5,000

Answer

$15,000

Question 2

A sample of 100 light bulbs has a mean lifetime of 1,200 hours with a standard deviation of 100 hours. What is the standard error of the mean?

Accepted Answer

10 hours

Answer

100 hours

Answer

12 hours

Answer

1 hour

Question 3

A correlation coefficient of r = -0.85 between two variables indicates what?

Accepted Answer

A strong negative relationship

Answer

A weak positive relationship

Answer

No relationship

Answer

The variables are identical

Question 4

In a histogram of test scores, the distribution is approximately normal with mean 75. If a student scored at the 84th percentile, their score is closest to:

Accepted Answer

One standard deviation above the mean

Answer

Two standard deviations above the mean

Answer

At the mean

Answer

One standard deviation below the mean

Question 5

A study reports that students who eat breakfast score 10 points higher on average than those who don't. Can we conclude that eating breakfast causes higher scores?

Accepted Answer

No, because observational studies cannot establish causation

Answer

Yes, the 10-point difference proves causation

Answer

Yes, if the sample size is large enough

Answer

No, because 10 points is not statistically significant

Question 6

A data set has values: 3, 7, 7, 8, 10, 12, 50. Which measure of center best represents a 'typical' value?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range