1. What is Frequency Distribution?

Frequency distribution is a summary of how often different values occur within a dataset. It shows the count or proportion of observations that fall into various ranges (bins) of values.

2. How Does the Calculator Work?

The calculator divides the range of your data into equal-sized bins and counts how many data points fall into each bin:

Where:

• Bin Range — The lower and upper bounds of each interval
• Count — Number of data points within each interval

3. Importance of Frequency Distribution

Details: Frequency distributions help identify patterns in data, including central tendency, dispersion, and shape of the distribution. They are fundamental for statistical analysis and data visualization.

4. Using the Calculator

Tips:

• Enter numeric values separated by commas
• Choose an appropriate number of bins (5-15 is typical)
• More bins show more detail but may reveal noise
• Fewer bins provide broader overview

5. Frequently Asked Questions (FAQ)

Q1: What's the optimal number of bins?
A: There's no single answer. Common rules include Square-root choice (√n) or Sturges' formula (1 + log2n).

Q2: How are values exactly on bin edges handled?
A: Values equal to the upper bound of a bin are placed in the next higher bin, except the maximum value which stays in the highest bin.

Q3: Can I use this for categorical data?
A: This calculator is designed for numerical data. For categories, each unique value would be its own "bin".

Q4: What if my data has outliers?
A: Outliers may distort the distribution. Consider removing extreme values or using non-equal bin widths.

Q5: How can I visualize the results?
A: Frequency distributions are commonly displayed as histograms or bar charts.