SAT Practice Test: Video 4 Answers (25 Questions)

Question 1

The following data shows test scores: 70, 75, 80, 80, 85, 90, 95. What is the mean?

Accepted Answer

82

Answer

Sum = 70+75+80+80+85+90+95 = 575. Mean = 575/7 ≈ 82.1. Closest answer is B. 82.

Question 2

In a scatter plot, the data points cluster closely around a line going from lower-left to upper-right. This indicates:

Accepted Answer

A strong positive correlation

Answer

Data clustering tightly around a line going up to the right shows a strong positive correlation.

Question 3

What is the median of the data set {3, 7, 5, 2, 8}?

Accepted Answer

5

Answer

To find the median of a data set, the numbers must first be arranged in ascending order. For the set {3, 7, 5, 2, 8}, the ordered sequence is {2, 3, 5, 7, 8}. The median is the middle value in this ordered list, which in this case is 5.

Question 4

If a residual in a regression model is negative, the predicted value is:

Accepted Answer

Greater than the actual value

Answer

Residual = actual − predicted, so a negative residual means predicted exceeds actual.

Question 5

What is the value of 3(2x - 4) = 18?

Accepted Answer

x = 3

Answer

To solve the equation 3(2x - 4) = 18, first divide both sides by 3, which simplifies to 2x - 4 = 6. Next, add 4 to both sides, resulting in 2x = 10. Finally, dividing by 2 yields x = 5, which is the correct solution for the given equation.