1. What is Cumulative Frequency?

Cumulative frequency is the sum of all frequencies up to a certain point in a data set. It helps analyze the distribution of values and understand how many observations lie below certain values.

2. How Does the Calculator Work?

The calculator uses the cumulative frequency formula:

Where:

• \( CF \) — Cumulative frequency
• \( f_i \) — Frequency of the ith observation
• \( n \) — Number of observations

Explanation: The calculator sums each frequency with all previous frequencies to create a running total.

3. Importance of Cumulative Frequency

Details: Cumulative frequency is essential for creating ogives (cumulative frequency graphs), calculating percentiles, and understanding data distributions in statistics.

4. Using the Calculator

Tips: Enter frequencies separated by commas (e.g., 5,10,15,20). All values must be numeric. The calculator will output the cumulative totals at each step.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between frequency and cumulative frequency?
A: Frequency counts occurrences in each class, while cumulative frequency sums all frequencies up to that class.

Q2: How is cumulative frequency used in real-world applications?
A: It's used in quality control, market research, and any analysis requiring understanding of data distribution.

Q3: Can I use this for grouped data?
A: Yes, enter the frequencies of each group/class to get cumulative frequencies.

Q4: What's the relationship between cumulative frequency and percentiles?
A: Percentiles can be determined from cumulative frequency distributions.

Q5: How do I interpret the results?
A: Each value shows how many observations fall at or below that point in the distribution.