How to draw frequency histogram polygon with step by step illustration

1. - Mr Kim

2. Score, x Frequency, f
0 4
1 3
2 7
3 3
4 12

3. Score, x Frequency, f
0 4
1 3
2 7
3 3
4 12
This is a
Frequency
Table

4. Score freq
0 4
1 3
2 7
3 3
4 12

5. Score freq
0 4
1 3
2 7
3 3
4 12
Here’s our grid to fill
in the values

6. Score freq
0 4
1 3
2 7
3 3
4 12 x
All the Scores go on
the Horizontal axis

7. Score freq
0 4
1 3
2 7
3 3
4 12 x

8. Score freq
0 4
1 3
2 7
3 3
4 12 0 x

9. Score freq
0 4
1 3
2 7
3 3
4 12 0 x
Notice how 0 starts
here

10. Score freq
0 4
1 3
2 7
3 3
4 12 0 x
Not here

11. Score freq
0 4
1 3
2 7
3 3
4 12 0 x

12. Score freq
0 4
1 3
2 7
3 3
4 12 10 x

13. Score freq
0 4
1 3
2 7
3 3
4 12 10 x

14. Score freq
0 4
1 3
2 7
3 3
4 12 1 20 x

15. Score freq
0 4
1 3
2 7
3 3
4 12 1 20 x

16. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 30 x

17. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 30 x

18. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40 x

19. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40 x
f
All the Frequency
values go on the
Vertical axis

20. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
x
f
Start from 0 and go up by
2 units until you reach …

21. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
x
f
Start from 0 and go up by
2 units until you reach 12

22. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
x
f

23. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
x
f

24. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
x
f

25. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
x
f

26. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
x
f

27. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

28. Score freq
0 4
1 3
2 7
3 3
4 12
Now start plotting the
Histogram
1 2 3 40
0
2
4
6
8
10
12
x
f

29. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

30. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

31. Score freq
0 4
1 3
2 7
3 3
4 12
There must be half unit
gap
1 2 3 40
0
2
4
6
8
10
12
x
f

32. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

33. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f
3 is in between
2 and 4

34. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f
3 is in between
2 and 4

35. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

36. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

37. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

38. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

39. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

40. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

41. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

42. Score freq
0 4
1 3
2 7
3 3
4 12
That’s Histogram complete.
Let’s start the Polygon now
1 2 3 40
0
2
4
6
8
10
12
x
f

43. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f
Start by plotting a dot in
the corner

44. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f
The dots are placed in the
middle of each histogram

45. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

46. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

47. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

48. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

49. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f
Place the last dot at the
bottom of the next unit

50. Score freq
0 4
1 3
2 7
3 3
4 12
Now, join them up using
straight lines
1 2 3 40
0
2
4
6
8
10
12
x
f

51. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

52. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

53. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

54. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

55. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

56. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f

57. Score freq
0 4
1 3
2 7
3 3
4 12 1 2 3 40
0
2
4
6
8
10
12
x
f
And this is how you draw a
Frequency Histogram Polygon!