College Math Placement Test Statistics 3

Question 1

A boxplot shows Q1 = 20, median = 35, Q3 = 50. What is the interquartile range (IQR)?

Accepted Answer

30

Answer

IQR = Q3 − Q1 = 50 − 20 = 30.

Question 2

Which of the following describes a negatively skewed distribution?

Accepted Answer

Mean < Median < Mode

Answer

In a negatively (left) skewed distribution, the mean is pulled toward the tail, so Mean < Median < Mode.

Question 3

A correlation coefficient of r = −0.92 indicates:

Accepted Answer

A strong negative relationship

Answer

A value of −0.92 is close to −1, indicating a strong negative linear relationship.

Question 4

A student rolls a fair die twice. What is the probability of getting a 6 on both rolls?

Accepted Answer

1/36

Answer

Since the rolls are independent, P(6 and 6) = 1/6 × 1/6 = 1/36.

Question 5

A survey asks 200 people about their preferred genre. The results are displayed in a pie chart. If 30% prefer drama, how many people prefer drama?

Accepted Answer

60

Answer

30% of 200 = 0.30 × 200 = 60 people.

College Math Placement Test Practice Test