Statistics - Cumulative plots

A cumulative plot is a way to draw cumulative information graphically. It displays the number / percentages, or proportion of observations that are less than or equal to particular value.

Example

Problem Statement:

Draw the frequency and comulative frequency plots of 10 student test scores based on following data.

Sr. No.	Roll No.	Test Score
1	100	30
2	101	40
3	102	35
4	103	50
5	104	60
6	105	65
7	105	35
8	105	55
9	105	65
10	105	70

Solution:

For the frequency chart, compute the frequecies as shown below. This table show the no. of students scoring in given ranges.

Sr. No.	Frequency	Students
1	30-40	3
2	40-50	1
3	50-60	2
4	60-70	3
4	70-80	1

Following is the required frequency plot

For the comulative frequency chart, compute the frequecies as shown below. This table show the no. of students scoring upto given marks(including).

Sr. No.	Upto Score	Students
1	30	1
2	40	3
3	50	4
4	60	7
5	70	10

Following is the required frequency plot

Sr. No.	Roll No.	Test Score
1	100	30
2	101	40
3	102	35
4	103	50
5	104	60
6	105	65
7	105	35
8	105	55
9	105	65
10	105	70

Sr. No.	Roll No.	Test Score
1	100	30
2	101	40
3	102	35
4	103	50
5	104	60
6	105	65
7	105	35
8	105	55
9	105	65
10	105	70

Statistics - Cumulative plots

Example

Problem Statement:

Solution:

友情链接

Sr. No.	Roll No.	Test Score
1	100	30
2	101	40
3	102	35
4	103	50
5	104	60
6	105	65
7	105	35
8	105	55
9	105	65
10	105	70