Читать книгу Student Study Guide to Accompany Statistics Alive! - Wendy J. Steinberg - Страница 12

The following are the ratings of 23 restaurant customers on a measure of satisfaction in a store. The scale ranges from 1 to 10. Use these data for Questions 1 to 7.

 6, 2, 3, 4, 5, 2, 6, 3, 4, 5, 6, 8, 7, 7, 5, 6, 8, 7, 5, 3, 4, 4, 5

1 What is the mean amount of customer satisfaction? What is the mode amount of customer satisfaction?

2 What is the median amount of customer satisfaction?

3 What is the numerical distance of the scores above the mean? What is the numerical distance of the scores below the mean? Which is greater?

4 Based on the measures of central tendency (use a ballpark estimate for the median), how would you expect the distribution of these scores to appear? (Do not sketch your answer.)

5 If we were to add a score of 45 to this distribution, what would the new measures of central tendency be? Which measure would be the most affected?

6 If we were to add another score, 5, to the original distribution, instead of the score of 45, what would the new measures of central tendency be? Which measure would be the most affected?

7 In Question 4, we added a score of 45 to the distribution. How would we expect the shape of the distribution to change if this score were to be added? How would we expect the shape to look if we were to add another score of 5?The following are data obtained from a measure that assesses positivity. The scale that was used ranged from 1 to 50. M = 29. Use the following data to answer Questions 8 to 11.

8 What is the modal response?

9 What is the median response?

10 How would you expect the distribution to appear, based on the measures of central tendency? (Do not sketch the distribution.)

11 Which measure of central tendency would best describe the distribution?

12 In a study looking at the distance people commute to work, the average distance in an area was 25 miles. If the sum of all the distances in the sample was 100, what was n for the study?