1. What is Mean of Frequency Distribution?

The mean of a frequency distribution is the average value when data is grouped into intervals with frequencies. It provides a central value that represents the entire dataset.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• midpoint — The middle value of each class interval
• frequency — The number of observations in each class

Explanation: The formula calculates a weighted average where each midpoint is weighted by its class frequency.

3. Importance of Mean Calculation

Details: Calculating the mean from frequency distributions is essential when working with grouped data, allowing analysis of large datasets without individual data points.

4. Using the Calculator

Tips: Enter midpoints and frequencies as comma-separated values. Both lists must be the same length. Example: Midpoints: 5,15,25; Frequencies: 10,20,15.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between mean and median in frequency distributions?
A: The mean considers all values weighted by frequency, while the median is the value separating the higher half from the lower half of the data.

Q2: How accurate is the mean from grouped data?
A: It's an approximation since we use midpoints rather than actual values. Accuracy improves with smaller class intervals.

Q3: Can I use this for open-ended classes?
A: No, this method requires all classes to have defined midpoints. Open-ended classes require different estimation methods.

Q4: What if my frequencies are percentages?
A: You can use percentages as frequencies as long as they're consistent (all percentages or all counts).

Q5: How does this relate to probability distributions?
A: For probability distributions, frequencies are replaced by probabilities, but the calculation method remains similar.