Training Statistics Placement Test Practice — Statistics
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Placement Test Practice — Statistics

24 min Statistics

Placement Test Practice — Statistics

This placement test covers every major topic from the Statistics module: descriptive statistics, probability, the normal distribution, confidence intervals, and hypothesis testing. It is designed to mirror the style and difficulty of questions you might encounter on a placement exam or introductory statistics final. Working through these problems will help you identify which concepts you have mastered and which deserve further review.

Approach each question as you would in a timed test — try to answer from memory and understanding first, then check your work against the answer key. If you find a topic where you struggle, revisit the corresponding lesson and its interactive tool before retaking the test. Consistent practice with varied problem types is the most effective way to build lasting fluency in statistics.

Practice Test — 18 Questions

1. Mean of $4,6,10$
2. Median of $1,5,7,10$
3. Mode of $2,2,3,8$
4. Range of $9,11,18$
5. Probability of drawing an ace
6. If $P(A)=0.62$, find $P(A^c)$
7. State the 95% normal-rule interval for mean 40 and SD 3.
8. What does a random variable assign?
9. Define expected value in words.
10. What is the midpoint of $(24,30)$?
11. Which is more resistant to outliers, mean or median?
12. What does a small p-value suggest?
13. Does a 99% CI tend to be wider or narrower than a 90% CI?
14. Probability of two heads in two fair flips.
15. If events are independent, how do you find $P(A \cap B)$?
16. What does IQR measure?
17. What shape is the normal distribution?
18. What is a confidence interval estimating?
Show Answer Key

1. $\frac{20}{3}$

2. $6$

3. $2$

4. $9$

5. $\frac{1}{13}$

6. $0.38$

7. $34$ to $46$

8. A number to each outcome

9. Long-run average value

10. $27$

11. Median

12. Evidence against the null hypothesis

13. Wider

14. $\frac{1}{4}$

15. Multiply: $P(A)P(B)$

16. Spread of the middle 50% of the data

17. Bell-shaped and symmetric

18. A population parameter