Question 475782: 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
Answer by cleomenius(959)   (Show Source):
You can put this solution on YOUR website! First we will make a chart of the range column, number of events in each range.
Normally you would also have a column for the midpoint of your range, but since each range will only consist of one number, there really isn't a midpoint.
64 ||2
65 ||6
66 ||7
67 ||9
68 ||10
69 ||6
70 ||3
71 ||0
72 ||2
Now, we make a graph with the frequency on the left and the range columns on the bottom
------------------------------
The following would be the histogram.
10|00 00 00 00 xx 00 00 00 00
9 | 00 00 00 xx xx 00 00 00 00
8 | 00 00 00 xx xx 00 00 00 00
7 |00 00 xx xx xx 00 00 00 00
6 |00 xx xx xx xx xx 00 00 00
5 |00 xx xx xx xx xx 00 00 00
4 |00 xx xx xx xx xx 00 00 00
3 |00 xx xx xx xx xx 00 00 00
2 |xx xx xx xx xx xx xx 00 00
1 |xx xx xx xx xx xx xx 00 xx
0 |xx xx xx xx xx xx xx xx xx
__64 65 66 67 68 69 70 71 72
.....................................
The following would be a frequency polygon diagram.
Keep in mind, the dashes should be only
points representing the midpoints of the ranges,
and the points should be connected by lines.
.....................................
10|00 00 00 00 _ 00 00 00 00
9 |00 00 00 __ || 00 00 00 00
8 |00 00 00 |0 0| 00 00 00 00
7 |00 00 __ |0 0| 00 00 00 00
6 |00 __ |0 00 00 __ 00 00 00
5 |00 |0 00 00 00 0| 00 00 00
4 |00 |0 00 00 00 0| 00 00 00
3 |00 |0 00 00 00 0| 00 00 00
2 |__ |0 00 00 00 00 __ 00 00
1 |00 00 00 00 00 00 00 |0 __
0 |00 00 00 00 00 00 00 __ |0
__|64 65 66 67 68 69 70 71 72
------------------------------------
-------------------------------------
Both the histogram and polygon distribution
represent the same data, but in different forms.
The polygon distribution is preferred when you
have multiple data sets you want to compare, as it
is composed of only lines.
Cleomenius.
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