Home
Arithmetic
Algebra
Geometry
Word Problems
Statistics
Probability
Set Theory
Trigonometry
Matrices
SAT Preparation
ACT Preparation
GMAT Preparation
Math Worksheets
Math Games
Math Trivia
Chemistry
Animal Facts
Links

 

Cumulative Frequency Graph

A Cumulative Frequency Graph is a graph plotted from a cumulative frequency table. A cumulative frequency graph is also called an ogive.

 

 

Example :

Draw a cumulative frequency graph for the frequency table below.

Length (x mm)

Frequency

11 – 15

2

16 – 20

4

21 – 25

8

25 – 30

14

31 – 35

6

36 – 40

4

41 – 45

2

Solution:

We need to add a class with 0 frequency before the first class and then find the upper boundary for each class interval.

Length

(x mm)

Frequency

Upper Class Boundary

Length

(x mm)

Cumulative

Frequency

6 – 10

0

10.5

x ≤ 10.5

0

11 – 15

2

15.5

x ≤ 15.5

2

16 – 20

4

20.5

x ≤ 20.5

6

21 – 25

8

25.5

x ≤ 25.5

14

25 – 30

14

30.5

x ≤ 30.5

28

31 – 35

6

35.5

x ≤ 35.5

34

36 – 40

4

40.5

x ≤ 40.5

38

41 – 45

2

45.5

x ≤ 45.5

40

And then plot the cumulative frequency against the upper class boundary of each interval and join the points with a smooth curve.


 

The following video shows how to obtain a cumulative frequency graph from a cumulative frequency table.

 

 

Custom Search

 


Useful Links:
Statistics
 
© Copyright 2005, 2007 - onlinemathlearning.com

 

Custom Search