Frequency Polygon.pdf u5o3o
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Frequency histogram and polygon The frequency histogram is like a column graph without the spaces between columns. The frequency polygon is a special line graph used in statistics. These graphs can be drawn separately or combined. The information in a frequency distribution table can be used to draw these graphs. Score 11 12 13 14 15 16
Tally IIII I IIII IIII IIII IIII IIII I IIII II II
Frequency 6 5 14 6 7 2 40
The scores go on the horizontal axis
The frequency goes on the vertical axis Frequency Histogram The area of the column represents the frequency for that score
14
Frequency
12
Allow a halfcolumn width gap at the start
10 8 6
The columns have no space between them
4 2 0
11
12
13
14
15
16
Scores For more homework help, tips and info sheets go to www.schoolatoz.com.au © Owned by State of NSW through the Department of Education and Communities 2011. This work may be freely reproduced and distributed for non-commercial educational purposes only. Permission must be received from the department for all other uses.
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The frequency polygon is drawn on axes the same as the histogram – the scores on the horizontal axis and the frequency on the vertical axis. Frequency Polygon The points show the frequency for that score
14
Polygon starts at the corner, one unit before the first score
Frequency
12 10 8 6
Polygon finishes on the axis, one number after the last score
4 2 0
11
12
13
14
15
16
Scores
When both the frequency histogram and polygon are drawn on the same axes they look like this: Frequency Histogram 14
Frequency
12 10 8 6 4 2 0
11
12
13
14
15
16
Scores
The area under the polygon is the same as the area of the histogram. For more homework help, tips and info sheets go to www.schoolatoz.com.au © Owned by State of NSW through the Department of Education and Communities 2011. This work may be freely reproduced and distributed for non-commercial educational purposes only. Permission must be received from the department for all other uses.
2/2
Tally IIII I IIII IIII IIII IIII IIII I IIII II II
Frequency 6 5 14 6 7 2 40
The scores go on the horizontal axis
The frequency goes on the vertical axis Frequency Histogram The area of the column represents the frequency for that score
14
Frequency
12
Allow a halfcolumn width gap at the start
10 8 6
The columns have no space between them
4 2 0
11
12
13
14
15
16
Scores For more homework help, tips and info sheets go to www.schoolatoz.com.au © Owned by State of NSW through the Department of Education and Communities 2011. This work may be freely reproduced and distributed for non-commercial educational purposes only. Permission must be received from the department for all other uses.
1/2
The frequency polygon is drawn on axes the same as the histogram – the scores on the horizontal axis and the frequency on the vertical axis. Frequency Polygon The points show the frequency for that score
14
Polygon starts at the corner, one unit before the first score
Frequency
12 10 8 6
Polygon finishes on the axis, one number after the last score
4 2 0
11
12
13
14
15
16
Scores
When both the frequency histogram and polygon are drawn on the same axes they look like this: Frequency Histogram 14
Frequency
12 10 8 6 4 2 0
11
12
13
14
15
16
Scores
The area under the polygon is the same as the area of the histogram. For more homework help, tips and info sheets go to www.schoolatoz.com.au © Owned by State of NSW through the Department of Education and Communities 2011. This work may be freely reproduced and distributed for non-commercial educational purposes only. Permission must be received from the department for all other uses.
2/2
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