drawing cumulative frequency histogram polygon
TRANSCRIPT
- Mr Kim
Score, x Frequency, f
2 2
3 5
4 11
5 7
6 10
7 9
8 6
Score, x Frequency, f
2 2
3 5
4 11
5 7
6 10
7 9
8 6
This is a Frequency
Table
Score, x Frequency, f
2 2
3 5
4 11
5 7
6 10
7 9
8 6
Score, x Frequency, f
2 2
3 5
4 11
5 7
6 10
7 9
8 6
To draw a Cumulative Frequency Histogram Polygon, a cf column must be added and filled in
Score, x Frequency, f CumulativeFrequency, cf
2 2
3 5
4 11
5 7
6 10
7 9
8 6
To draw a Cumulative Frequency Histogram Polygon, a cf column must be added and filled in
Score, x Frequency, f CumulativeFrequency, cf
2 2
3 5
4 11
5 7
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2
3 5
4 11
5 7
6 10
7 9
8 6
The first number is always the same as the first frequency number
Score, x Frequency, f CumulativeFrequency, cf
2 2
3 5
4 11
5 7
6 10
7 9
8 6
The first number is always the same as the first frequency number
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5
4 11
5 7
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5
4 11
5 7
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5
4 11
5 7
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5
4 11
5 7
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11
5 7
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11
5 7
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11
5 7
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11
5 7
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11 18
5 7
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11 18
5 7
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11 18
5 7
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50
Score, x Frequency, f CumulativeFrequency, cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50
Now that’s complete, time to start drawing the graph
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50
Here’s our grid to fill in the values
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
All the Scores go on the Horizontal axis
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2
Notice how 2 starts here
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2
Not here
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf All the cf values go on the Vertical axis
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
Start from 0 and let’s go up by 10s until we reach …
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
Start from 0 and let’s go up by 10s until we reach
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
Now start plotting the Histogram
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
2 is about there just above 0
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
2 is about there just above 0
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
There must be half unit gap
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
That’s Histogram complete. Let’s start the Polygon now
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
Start by plotting a dot in the corner
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
The dots are placed at the endof each histogram
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
Now, join them up using straight lines
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
x f cf
2 2 2
3 5 7
4 11 18
5 7 25
6 10 35
7 9 44
8 6 50x
2 3 4 5 6 7 8
cf
0
10
20
30
40
50
And this is how you draw a Cumulative Frequency Histogram Polygon!