# Frequency distribution

1. Place the following scores in a frequency distribution table. Include columns for proportion (p) and percentage (%) in your table. The scores are: 4, 6, 2, 9, 8, 8, 5, 7, 7, 3, 6, 6, 7, 4, 5, 8, 6, 5

2. Under what circumstances should you use a grouped frequency distribution instead of a regular frequency distribution?

3. What information is available about the data in a regular frequency distribution table that is not available in a group table?

4. Describe the difference in appearance between a bar graph and a histogram, and describe the circumstances under which each type of graph should be used

5. The following are reading comprehension scores for a third-grade class of 18 students: 4, 5, 5, 6, 4, 5, 2, 6, 3

5, 6, 5, 4, 3, 6, 1, 6, 5

a. place the scores in a frequency distribution table.

b. sketch a histogram showing the distribution*

c. using your graph answer the following questions:

a. What is the shape of the distribution?

b. If a score of x=4 is considered typical for third-graders.

* (you should include the histogram. You can draw by hand or use a program such as SPSS and cut and paste into your document)

7. Complete the following frequency distribution table, and find each of the percentiles and percentile ranks requested:

X f cf c%

10 1

9 3

8 7

7 6

6 2

5 1

a. what is the percentile for x=7.5

b. what is the percentile for x=9.5

c. what is the 15th percentile?

e. what is the 80th percentile?

See attached file for full problem description.

#### Solution Summary

Answers questions on arranging data using frequency distribution, histogram etc.