CIMA BA1 Syllabus C. Informational Context Of Business - Ogives - Notes 6 / 7
Cumulative frequency distributions
Cumulative frequencies are obtained by adding the individual frequencies together.
Ogive
An ogive is a graph of the cumulative number of items with a value less than or equal to, or alternatively greater than or equal to, a certain amount.
It is drawn by plotting a diagram of a cumulative frequency distribution.
Notice:
a frequency distribution can be graphed as a histogram
a cumulative frequency distribution can be graphed as an ogive.
Illustration
Here, we have a number of students (Frequency) and how many hours they study per week.
See how A Cumulative frequency distribution is calculated:
Hours Spent to study | Number of Students (Frequency) | Cumulative Frequency |
<1 | 10 | 10 |
<3 | 15 | 10 + 15 = 25 |
<4 | 4 | 10 + 15 + 4 = 29 |
<6 | 3 | 10 + 15 + 4 + 3 = 32 |
<10 | 1 | 10 + 15 + 4 + 3 + 1 = 33 |
The cumulative frequency distribution shows that, of the total of 33 students:
10 students study less than 1 hour per week,
25 students study less than 3 hours per week,
29 students study less than 4 hours per week,
32 students study less than 6 hours per week and
33 students study less than 10 hours per week.