Heights The frequency distribution indicates the heights of 45 male high school seniors.
Height(in.) Number of Males
64 2
65 6
66 7
67 9
68 10
69 6
70 3
71 0
72 2
a) Construct a histogram of the frequency distribution.
b) Construct a frequency polygon of the frequency distribution.
Jen -- I don't understand. You've posted many questions of varying difficulty in the last few days. Are you racing through an online class without studying your text materials?
This site will show you how to make a histogram.
http://quarknet.fnal.gov/toolkits/ati/histograms.html
I have the materials, I just don't understand it at all!!!
Once you have read about how to draw a frequency distribution histogram, this site will show you how to do the frequency polygon:
(Broken Link Removed)
how can i draw a histogram if i cannot access my microsoft word program??
To construct a histogram and a frequency polygon for the given frequency distribution, you first need to understand the data and organize it properly.
a) Constructing a histogram:
- Start by creating a horizontal x-axis along the bottom of your graph. This axis will represent the height values.
- Choose appropriate intervals for the height on the x-axis. In this case, since the data ranges from 64 to 72, it makes sense to have intervals of 1 starting from 63.5 to 72.5.
- Draw vertical bars (rectangles) above each interval on the x-axis. The height of each bar will represent the frequency of males in that height range.
- Label the y-axis vertically along the left side of the graph. This axis will represent the frequency values.
- Use the given frequencies to determine the height of each bar on the y-axis.
- Draw rectangles above each interval with heights corresponding to the frequency values given in the distribution table.
- Add a title to your graph, such as "Height Distribution of Male High School Seniors."
b) Constructing a frequency polygon:
- Use the same x-axis and intervals as in the histogram.
- Plot points on the graph using the midpoints of each interval on the x-axis and the corresponding frequencies on the y-axis.
- Connect the points with straight lines to form a polygon.
- Add a title to your graph, such as "Frequency Polygon of Height Distribution of Male High School Seniors."
Both the histogram and frequency polygon will provide visual representations of the given frequency distribution. Keep in mind that the histogram displays the frequency of each height category as bars, while the frequency polygon connects the midpoints of each category with lines.