Lesson 3: Shapes of Distributions — Practice Questions

1. 1. The distribution of annual incomes in a city is skewed right. Which statement correctly compares the mean and median income?

   • A. The mean income is greater than the median income.
   • B. The mean income is less than the median income.
   • C. The mean income is equal to the median income.
   • D. The relationship cannot be determined.

2. 2. A dataset of student test scores has a mean of 72 and a median of 80. The shape of this distribution is skewed to the ___.

3. 3. The prices of cars at a dealership are skewed, with a few very expensive luxury cars. Which measure of center would better represent a typical car price?

   • A. Mean
   • B. Median
   • C. Both are equally good
   • D. Neither is appropriate

4. 4. The weights of a certain breed of dog are symmetrically distributed. If the median weight is 45 pounds, what is the approximate mean weight?

   • A. 35 pounds
   • B. 45 pounds
   • C. 55 pounds
   • D. Cannot be determined

5. 5. Most houses in a town sell for around 250,000 dollars, but a newly built mansion sells for 5,000,000 dollars. This new sale will have a much larger effect on the ___ price.

6. 6. Which of the following descriptions for a set of data indicates a uniform distribution?

   • A. Most data points are clustered at the high end.
   • B. The data points are spread evenly across the range.
   • C. Most data points are clustered around the average.
   • D. The data points are clustered at the low end.

7. 7. A fair 8-sided die is rolled 400 times. For the results to form a uniform distribution, each outcome should occur approximately ___ times.

8. 8. A restaurant manager finds that on a weekend, they serve 15 chicken, 80 beef, and 20 fish entrees. Does the distribution of entree sales appear uniform?

   • A. Yes
   • B. No

9. 9. A library tracks daily book checkouts. From Monday to Thursday, the counts were 102, 98, and 101 for three of the days. To be an approximately uniform distribution, about how many books should have been checked out on the fourth day? ___

10. 10. Which scenario is most likely to produce a uniform distribution?

    • A. The heights of all students in a high school.
    • B. The last digit (0-9) of 1,000 randomly selected phone numbers.
    • C. The salaries of employees at a large corporation.
    • D. The number of goals scored per game by a soccer team.