Chapter 3 QUIZ

TRUE OR FALSE

Question 3.480

1. True or false: If two data sets have the same mean, median, and mode, then the two data sets are identical.

Question 3.481

2. True or false: The variance is the square root of the standard deviation.

Question 3.482

3. True or false: The Empirical Rule applies for any data set.

FILL IN THE BLANK

Question 3.483

4. A(n)__________is an extremely large or extremely small data value relative to the rest of the data set.

Question 3.484

5. The mean can be viewed as the __________ point of the data.

Question 3.485

6. The measure of center that is sensitive to the presence of extreme values is the __________.

SHORT ANSWER

Question 3.486

7. What do we call summary descriptive measures that are not sensitive to the presence of outliers?

Question 3.487

8. Which of the mean, median, and mode may be used for categorical data?

Question 3.488

9. For any data set, what is the average of the deviations?

Question 3.489

10. What do we use to estimate the mean for each class in a frequency distribution?

CALCULATIONS AND INTERPRETATIONS

Question 3.490

11. Calculating a Grade Point Average. At a certain college in Texas, student grade point averages are calculated as follows. For each credit hour, an A is worth 4.0 quality points, an A− is worth 3.7 quality points, a B+ is worth 3.3 quality points, a B is worth 3.0, a B− is worth 2.7, a C+ is worth 2.3, and so on. To find the grade point average, the number of credits for each course is multiplied by the quality points earned for that course; the results are added together; and the sum is divided by the number of credits. This semester, Angelita's grades are as follows. She got an A in her four-credit honors biology course, an A− in her three-credit calculus course, a B+ in her three-credit English course, a B− in her three-credit anthropology course, and a C+ in her two-credit physical education course. Calculate Angelita's grade point average for this semester.

Question 3.491

12. A sample of 30 Americans yielded a sample mean consumption of carbonated beverages this year of 60 gallons, with a sample standard deviation of 40 gallons. Find the -scores for the following amounts of carbonated beverage consumption.

  1. 120 gallons
  2. 20 gallons
  3. 100 gallons
  4. 0 gallons
  5. 60 gallons

Question 3.492

13. Refer to the information in Exercise 12. Assume the distribution is bell-shaped. (Hint: Use your knowledge about the Empirical Rule to give a range for the proportions in parts (b) and (d)).

  1. Find the 50th percentile.
  2. Estimate the proportion of Americans who drink between 20 and 100 gallons per year.
  3. Discuss whether we could find the estimate in (b) without assuming that the distribution is bell-shaped.
  4. Estimate the proportion of Americans who drink more than 100 gallons per year.

Use the following SAT 1 Math score for Exercises 14–18.

510, 515, 523, 514, 521, 501, 502, 499

Question 3.493

satmath

14. Find the following quartiles for SAT 1 Math score:

  1. Q1
  2. Q2
  3. Q3

Question 3.494

satmath

15. Find the interquartile range of SAT 1 Math score.

Question 3.495

satmath

16. Find the five-number summary for SAT 1 Math score.

Question 3.496

satmath

17. Use robust methods to investigate the presence of outliers.

Question 3.497

satmath

18. Construct a boxplot for SAT 1 Math score.