College Math Placement Test Statistics 4 — Questions and Answers
Question 1: The scores 12, 15, 14, 10, 14, 13, 16 have a mean of 13.43. What is the approximate range?
- 4
- 6 (Correct answer)
- 3
- 5
Correct answer: 6
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:
- A strong negative correlation
- No correlation
- A strong positive correlation (Correct answer)
- A nonlinear relationship
Correct answer: A strong positive correlation
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?
- 17/52 (Correct answer)
- 4/13
- 16/52
- 17/52
Correct answer: 17/52
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?
- 32
- 48 (Correct answer)
- 40
- 60
Correct answer: 48
60% did not pass, and 60% of 80 = 48 students.
Question 5: Which of the following is an example of qualitative (categorical) data?
- Height in centimeters
- Number of siblings
- Favorite color (Correct answer)
- GPA on a 4.0 scale
Correct answer: Favorite color
Favorite color is categorical because it represents a category rather than a numerical measurement.
Question 6: The median of the data set {3, 7, 9, 15, 21} is:
- 7
- 15
- 9 (Correct answer)
- 11
Correct answer: 9
With 5 values listed in order, the median is the middle (3rd) value, which is 9.
Question 7: In hypothesis testing, a p-value of 0.03 with a significance level α = 0.05 means:
- Fail to reject the null hypothesis
- Reject the null hypothesis (Correct answer)
- The result is inconclusive
- The alternative hypothesis is false
Correct answer: Reject the null hypothesis
Because p = 0.03 < α = 0.05, there is sufficient evidence to reject the null hypothesis.
College Math Placement Test Statistics 4
The scores 12, 15, 14, 10, 14, 13, 16 have a mean of 13.43.
What is the approximate range?