Mean, Median, Mode & Range Calculator

Calculate central tendency and range metrics instantly with our advanced statistics tool. Perfect for data analysis, homework help, and research.

Statistics Calculator
Count: 10
Sum: 485
Mean (Average): 48.5
Median: 45
Mode: 23
Range: 68
Minimum: 23
Maximum: 91
Formulas:

Mean = Sum of all values / Number of values

Median = Middle value of ordered dataset (or average of two middle values for even count)

Mode = Most frequently occurring value(s)

Range = Maximum value - Minimum value

Understanding Mean, Median, Mode and Range

What are Mean, Median, Mode and Range?

These are fundamental statistical measures that describe different aspects of a dataset:

Mean (Average)

The mean is the arithmetic average of all values in a dataset. It's calculated by summing all values and dividing by the number of values.

When to use: When your data is evenly distributed without extreme outliers.

Median

The median is the middle value when all values are ordered from smallest to largest. For an even number of values, it's the average of the two middle numbers.

When to use: When your data has outliers that might skew the mean.

Mode

The mode is the value that appears most frequently in a dataset. A dataset can have one mode, multiple modes, or no mode at all.

When to use: When you need to identify the most common value or category.

Range

The range is the difference between the highest and lowest values in a dataset. It measures how spread out the values are.

When to use: When you need a quick measure of variability in your data.

Real-World Applications

These statistical measures are used across various fields:

Education

Analyzing test scores, grading distributions, and student performance metrics.

Business

Sales analysis, customer behavior metrics, and financial performance indicators.

Research

Scientific data analysis, experimental results interpretation, and study comparisons.

How Our Calculator Helps

Our advanced statistics calculator provides instant calculations for all key central tendency measures and range. Whether you're a student working on homework, a teacher preparing lessons, or a professional analyzing data, this tool saves time and ensures accuracy in your statistical calculations.

The visual representation helps you better understand your data distribution at a glance, while the detailed explanations help reinforce your understanding of these fundamental statistical concepts.