CUMULATIVE FREQUENCY
Definition Of Cumulative Frequency
Cumulative Frequency corresponding to a particular value is the sum
of all the frequencies up to and including that value.
More About Cumulative Frequency
Cumulative frequency is nothing but the running total of frequencies.
Video Examples: Cumulative Frequency
Example of Cumulative Frequency
The cumulative frequency table represents the volcanic eruptions between 1900 and 2000.
As we see above, the cumulative frequency for the total number of
volcanic eruptions that took place in the years during 1920 - 40 is 12 + 15 = 27.
Solved Example on Cumulative Frequency
Ques: Jack tabulated the number of cars sold in a week by an automobile company.
Use cumulative frequency to find the total number of cars sold in that week.
Choices:
A. 32
B. 35
C. 16
D. 19
Correct Answer: B
Solution:
Step 1: Cumulative frequency corresponding to a particular value is the sum of all the
frequencies up to and including that value.
Step 2: Use cumulative frequency table to find the total number of cars sold in a week.
Step 3: From the table, the total number of cars sold by the company in a week is 7 + 9 + 15 + 4 = 35.
Quick Summary
- Cumulative frequency is the running total of frequencies.
- It represents the number of observations less than or equal to a specific value.
🍎 Teacher Insights
Use real-world examples like student test scores or sales data to illustrate the concept.🎓 Prerequisites
- Frequency Distribution
- Data Analysis
Check Your Knowledge
Q1: What is the cumulative frequency for the value 3, given the frequencies for values 1, 2, and 3 are 5, 8, and 12 respectively?
Q2: Which of the following is not true about cumulative frequency?
Frequently Asked Questions
Q: How is cumulative frequency calculated?
A: By adding the frequency of the current class to the cumulative frequency of the previous class.
Q: What does cumulative frequency represent?
A: It represents the total number of observations up to and including a specific value.