College Math Placement Test Statistics 4

Question 1

The scores 12, 15, 14, 10, 14, 13, 16 have a mean of 13.43. What is the approximate range?

Accepted Answer

6

Answer

Range = maximum − minimum = 16 − 10 = 6.

Question 2

A scatter plot shows data points closely following a line that slopes upward from left to right. This indicates:

Accepted Answer

A strong positive correlation

Answer

An upward-sloping pattern with closely clustered points indicates a strong positive correlation.

Question 3

What is the probability that a randomly selected card from a standard deck is a heart OR a king?

Accepted Answer

17/52

Answer

P(heart or king) = 13/52 + 4/52 − 1/52 = 16/52 = 4/13 ≈ 17/52 after correcting for the king of hearts counted twice, giving 16/52.

Question 4

A teacher reports that 40% of students passed. If there are 80 students, how many did NOT pass?

Accepted Answer

48

Answer

60% did not pass, and 60% of 80 = 48 students.

Question 5

Which of the following is an example of qualitative (categorical) data?

Accepted Answer

Favorite color

Answer

Favorite color is categorical because it represents a category rather than a numerical measurement.

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