1. Use the given frequency distribution table to create a frequency polygon and answer the questions below.

Class Limits	Frequency
3.5 - 9.4	5
9.5 - 15.4	8
15.5 - 21.4	18
21.5 - 27.4	9
27.5 - 33.4	4

a.Either on your work upload paper or in your calculations file:

• Provide a neat, clear graph of the frequency polygon.
• Make sure the axes are clearly labeled with their values and what the numbers represent.

b. The first ordered pair has an x coordinate of__________ and a y coordinate of ________ .

c. The last ordered pair has an x coordinate of __________ and a y coordinate of _________ .

2. James Madison, the fourth President of the United States, was 163 cm tall. His height converts to a z-score of -2.28 when included among the heights of all of the presidents.

In the space below, please answer these questions:

Is his height above or below the mean? How do you know?

3. Given the data set: 12, 16, 17, 17, 18, 20, 21, 23, 27

(In your work, neatly show your work for calculating these values. Round to the nearest whole number as necessary.)

a. What is the percentile rank for the value of 16?

b. The value that corresponds to the 85th percentile is what?