1. What is the most prominent feature of a dataset that follows a normal distribution?
- A. The data is clustered at the two extremes.
- B. The data is evenly spread out across the range.
- C. The data is symmetrical and forms a bell shape.
- D. The data is mostly concentrated on one side.
2. In a histogram that shows a bell curve, where would you expect to find the largest number of data values?
- A. At the far left end
- B. At the far right end
- C. Near the center of the distribution
- D. Spread evenly across all values
3. Which of the following real-world datasets is most likely to be represented by a normal distribution?
- A. The heights of players on a professional basketball team
- B. The finishing times of runners in a marathon
- C. The monthly rent for apartments in a major city
- D. The scores on a standardized national exam
4. A key property of a bell-shaped distribution is symmetry. What does this mean?
- A. The left side of the curve is a mirror image of the right side.
- B. All data values are the same.
- C. The curve has no highest or lowest point.
- D. The data is skewed to the right.
5. In a dataset that follows a normal distribution, what is true about values that are very far from the average?
- A. They are the most common values in the dataset.
- B. They occur less frequently than values near the average.
- C. They occur with the same frequency as values near the average.
- D. They cannot exist in a normal distribution.
6. For the dataset $\{5, 7, 9, 11, 8\}$, the mean is $\bar{x} = 8$. The sum of squared deviations is ___.
7. For the dataset $\{5, 7, 9, 11, 8\}$ with $n = 5$ and sum of squared deviations $= 20$, the sample variance is ___.
8. A dataset has a sample variance of $s^2 = 36$. What is the sample standard deviation $s$?
- A. $s = 6$
- B. $s = 18$
- C. $s = 12$
- D. $s = 1296$
9. Two teams both have a mean of 74 points. Team A has $s = 3$ and Team B has $s = 15$. Which statement best describes the data?
- A. Team A's scores are more spread out than Team B's
- B. Team B's scores are more spread out than Team A's
- C. Both teams have the same spread
- D. Team A has a higher mean than Team B
10. Which of the following datasets has a standard deviation of $s = 0$?
- A. $\{4, 4, 4, 4\}$
- B. $\{1, 2, 3, 4\}$
- C. $\{0, 4, 8, 12\}$
- D. $\{3, 4, 5, 6\}$