Mean, Median, Mode, Range Calculator

Enter numbers separated by commas to calculate statistical values including mean, median, mode, range, geometric mean, and more. This calculator provides step-by-step solutions to help you understand how these values are calculated.

Statistical Results

Numbers Count	0
Sum	0
Mean (Average)	0
Median	0
Mode	0
Range	0
Geometric Mean	0
Largest	0
Smallest	0

Solution Steps

About Mean, Median, Mode, Range Calculator

This calculator computes various statistical measures for a given set of numbers. Understanding these concepts is fundamental in statistics and data analysis across many fields including mathematics, science, engineering, and social sciences.

Definitions

Mean (Average): The sum of all numbers divided by the count of numbers.
Median: The middle value when numbers are sorted. For even counts, it's the average of the two middle numbers.
Mode: The number that appears most frequently. A set may have no mode or multiple modes.
Range: The difference between the largest and smallest numbers.
Geometric Mean: The nth root of the product of n numbers, useful for growth rates.

How to Use This Calculator

Enter your numbers separated by commas or spaces in the input field. The calculator will:

Parse and clean the input data
Sort the numbers (if selected)
Calculate all statistical measures
Display the results with step-by-step solutions

Example Calculation

For the numbers: 3, 7, 5, 13, 20, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29

Sorted: 3, 5, 7, 12, 13, 14, 20, 23, 23, 23, 23, 29, 39, 40, 56
Count: 15 numbers
Sum: 330
Mean: 330 ÷ 15 = 22
Median: 23 (the 8th number in the sorted list)
Mode: 23 (appears 4 times)
Range: 56 - 3 = 53

Applications

These statistical measures are used in:

Analyzing test scores and academic performance
Understanding data distributions in research
Quality control and process improvement
Financial analysis and market research
Scientific experiments and data interpretation