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Definition: Cumulative Frequency
The cumulative frequency of a class interval is the sum of the frequencies of all the classes up to this class interval.
Related QuestionsVIEW ALL [12]
Prepare a cumulative frequency distribution table of the marks scored by 60 students in a test are given below:
| Marks | No. of students |
| 0 - 10 | 4 |
| 10 20 | 15 |
| 20 - 30 | 21 |
| 30 - 40 | 12 |
| 40 50 | 8 |
From following table, what is the cumulative frequency of less than type for the class 30-40?
| Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
| Frequency | 7 | 3 | 12 | 13 | 2 |
Construct a frequency distribution table from the given cumulative frequency distribution showing the weights of 750 students in a school:
| Weight (in kg) | c.f. |
| More Than 25 | 750 |
| More Than 30 | 640 |
| More Than 35 | 615 |
| More Than 40 | 485 |
| More Than 45 | 370 |
| More Than 50 | 220 |
| More Than 55 | 124 |
| More Than 60 | 49 |
| More Than 65 | 24 |
| More Than 70 | 0 |
a. Find the number of students whose weight lie in the interval 40-45
b. Find the interval which has the most number of students.
The table given below shows the ages of patients being treated in a hospital. Construct a cumulative frequency distribution table for the same:
| Age | No. of patients |
| 10 - 20 | 90 |
| 20 - 30 | 50 |
| 30 - 40 | 60 |
| 40 - 50 | 80 |
| 50 - 60 | 50 |
| 60 - 70 | 30 |
Complete the following cumulative frequency table:
| Class (Height in cm) |
Frequency (No. of students) |
Less than type frequency |
| 150 - 153 | 05 | 05 |
| 153 - 156 | 07 | 05 + `square` = `square` |
| 156 - 159 | 15 | `square` + 15 = `square` |
| 159 - 162 | 10 | `square` + `square` = 37 |
| 162 - 165 | 05 | 37 + 5 = 42 |
| 165 - 168 | 03 | `square` + `square` = 45 |
| Total N = 45 |
