1. What Is Frequency Distribution?

Frequency distribution is a statistical representation that shows the number of observations within given intervals. It helps organize and summarize large datasets to reveal patterns and trends in the data.

2. How Does The Calculator Work?

The calculator uses these fundamental formulas:

Where:

• \( \text{Frequency} \) — Count of observations in each category
• \( \text{Total} \) — Sum of all frequencies
• \( \text{Relative Frequency} \) — Proportion of total observations
• \( \text{Cumulative Frequency} \) — Running total of frequencies

Explanation: Relative frequency converts counts to proportions, while cumulative frequency shows the accumulation of counts across categories.

3. Importance Of Frequency Analysis

Details: Frequency distributions are fundamental in statistics for data summarization, pattern recognition, and preparing data for further statistical analysis and visualization.

4. Using The Calculator

Tips: Enter frequency values separated by commas. The calculator will compute relative frequencies (proportions) and cumulative frequencies automatically.

5. Frequently Asked Questions (FAQ)

Q1: What Is The Difference Between Frequency And Relative Frequency?
A: Frequency is the actual count of observations, while relative frequency is the proportion of total observations (frequency divided by total).

Q2: How Is Cumulative Frequency Useful?
A: Cumulative frequency helps identify percentiles, medians, and shows how many observations fall below certain values in ordered data.

Q3: Can I Use This For Grouped Data?
A: Yes, enter the frequencies for each group or class interval. The calculator works with both raw and grouped frequency data.

Q4: What If My Frequencies Include Decimals?
A: The calculator accepts decimal frequencies, which is common when working with proportions or weighted data.

Q5: How Accurate Are The Results?
A: Results are calculated with high precision (4 decimal places for relative frequencies), providing accurate statistical summaries.