SAT Practice Test: Video 3 Answers (25 Questions)

Question 1

A data set has values: 4, 7, 7, 10, 12. What is the median?

Accepted Answer

7

Answer

Arranged in order: 4, 7, 7, 10, 12. The middle value (3rd of 5) is 7.

Question 2

A line of best fit for a scatter plot passes through (0, 3) and (4, 11). What does the slope represent?

Accepted Answer

The rate of change per unit increase in x

Answer

Slope = (11-3)/(4-0) = 8/4 = 2. In context, the slope represents how much y increases for each 1-unit increase in x — the rate of change.

Question 3

If every value in a data set increases by 5, what happens to the mean?

Accepted Answer

It increases by 5

Answer

Adding a constant to every value raises the mean by that same constant.

Question 4

A recipe calls for 2.5 cups of flour for every 12 cookies. How many cups are needed for 48 cookies?

Accepted Answer

10

Answer

Set up a proportion: 2.5/12 = x/48. Cross-multiply: 12x = 120. x = 10 cups.

Question 5

If 5 workers can paint a fence in 8 hours, how long would it take 10 workers at the same rate?

Accepted Answer

4 hours

Answer

Total work is 40 worker-hours, so 10 workers finish in 40 ÷ 10 = 4 hours.