Exercises 2-1 For Exercises 9-12, show frequency distributions that are incorrec

Question

Exercises 2-1 For Exercises 9-12, show frequency distributions that are incorrectly constructed. State the reasons why they are wrong 1. List five reasons for organizing data into a frequency distribution. 2. Name the three types of frequency distributions, and explain when each should be used. 9. Class Frequency 27-32 33-38 39-44 45-49 50-55 3. How many classes should frequency distributions have? Why should the class width be an odd number? 4. What are open-ended frequency distributions? Why are they necessary? For Exercises 5-8, find the class boundaries, midpoints, 5. 43-47 6. 125-131 7. 8.24-11.36 8. 16.3-18.5 10. Class Frequency and widths for each class. 5-9 9-13 13-17 17-20 20-24

Explanation / Answer

7:

Class mid point = (11.36 +8.24 ) / 2 = 9.8

Class width = Maximum -Minimum = 11.36 - 8.24 = 3.12

The lower limit of next class should be 11.37. So difference between upper limit of given class and lower limit of next class is:

11.37 -11.36 =0.01

So lower class boundary:

8.24 - (0.01/2) = 8.24 - 0.005 = 8.235

So upper class boundary:

11.36 + (0.01/2) = 11.36+ 0.005 = 11.365

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