Introduction to learning cumulative frequency histograms:

Learning cumulative frequency histograms are some of the frequencies from the initial to the current position. The total running of the frequencies is as cumulative frequency. Cumulative frequency is considered as a frequency of a random variable that is usually below a specific level. Cumulative frequency evaluate the value of a random value with the position values. Learning Cumulative frequency histogram is a way of representing on the cumulative frequency polygon.

  

Example problem on Learning Cumulative frequency histograms

 

Histogram means it is a bar graph that gives the frequency data occur within particular range or interval. The values of each bar give their frequencies in the individual interval.Learning cumulative frequency histogram means to learn to plot the cumulative frequencies on a graph.           

Note:

The cumulative frequency is always plot on the vertical axes.

Marry tabulated the student scored the mark in the math test are listed in the below table

marks Frequency of pupils
0-10 0
1-20 5
21-30 7
31-40 14
41-50 19
51-60 15
61-70 8
71-80 10
81-90 6
91-100 1

 

 

Solution:Learning Cumulative Frequency Curve is a curve drawn by plotting the value of the first class on a chart. The next plot is drawn by the sum of the first and second values, similarly the third plot is drawn by the sum of the first, second, and third values, and so on.

It contains the number of student (called frequency) and the math score 

We have to create the cumulative total for each group of people the cumulative total is also called as the cumulative frequency  

The below table contains the cumulative frequency of the student

Marks Frequency of pupils cumulative total                 cumulative frequency
0-10 0 0 0
11-20 5 0+5 5
21-30 7 5+7 12
31-40 14 12+14 26
41-50 19 26+19 45
51-60 15 45+15 60
61-70 8 60+8 68
70-80 10 68+10 78
81-90 6 78+6 84
91-100 1 84+1 85

 

 

 

 

 

 

 

 

 

 

The cumulative frequency column is used to identify 45 pupils are scored 50 marks or fewer.

Example 2:

height weight
120 40
125 50
130 60
135 65
140 70
150 75

 

 

Solution:

height weight cumulative total                 cumulative frequency
120 40 0 40
125 50 40+50 90
130 60 90+60 150
135 65 150+65 215
140 70 215+70
285
150 75 285+75 360

 

 

 

 

 

 

 

 

 

 

 

The cumulative frequency column is used to identify 150 and the height is 130

  

Learning how to Graph Cumulative Frequency Histograms

 

Cumulative Frequency Curve

Cumulative Frequecny Histogram learning is made simple in this article.