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.
I'm not sure how to do this or draw a histogram and polygon because I cannot access my Microsoft Word program....
You don't need a Word program. Use pencil and paper and follow the instructions that DrWLS and I posted for you last night.
http://www.jiskha.com/display.cgi?id=1312168299
but i have to submit it online....
Talk with your teacher about this problem.
No worries! You can still create a histogram and a frequency polygon without using Microsoft Word. Here's how you can do it using a simple approach.
a) Constructing a Histogram:
1. Start by creating a table with two columns: one for the heights (in inches) and one for the number of males.
2. Use the data you provided to fill in the table.
3. On a piece of graph paper or any blank sheet of paper, draw a horizontal x-axis representing the height (in inches). Label the axis accordingly.
4. Draw a vertical y-axis representing the frequency or the number of males. Label the axis accordingly.
5. Determine the suitable scale for both axes. For example, you may choose to count by 5s on the x-axis and by 2s on the y-axis.
6. For each height value in the table, draw a vertical bar on the x-axis corresponding to the height. The height of the bar should represent the frequency (number of males) on the y-axis.
7. Repeat step 6 for each height value in the table.
8. Ensure that the width of all the bars is the same. You can modify the width if the difference in frequency values is significant.
9. Finish the histogram by labeling the x-axis and the y-axis, giving it a title, and adding any additional necessary details.
b) Constructing a Frequency Polygon:
1. Use the same table of data you created for the histogram.
2. On a piece of graph paper or a blank sheet, draw a horizontal x-axis representing the height (in inches) and a vertical y-axis representing the frequency (number of males). Label the axes accordingly.
3. Determine the scale for both axes.
4. Plot the midpoint or the average of each height class on the x-axis (starting from 0) and the corresponding frequency on the y-axis (starting from 0).
- For example, for the height class 64-65 inches, the midpoint is (64+65)/2 = 64.5. Plot this on the x-axis.
- For the frequency of 2, plot this on the y-axis.
5. Repeat step 4 for each height class in the table.
6. Connect the points plotted on the graph using straight lines to form a polygon that represents the frequency distribution.
7. Ensure that the polygon starts and ends on the x-axis.
8. Complete the frequency polygon by labeling the x-axis and the y-axis, giving it a title, and adding any additional necessary details.
Remember, both the histogram and frequency polygon are visual representations of the same data. The histogram shows the frequencies using bars, while the frequency polygon connects the midpoints of each class using straight lines.