Skip to main content

Mean, Median, and Mode Calculator

The three measures of central tendency — mean, median, and mode — describe where the centre of a data set lies.

Calculated Result
3.777778

Mean

Mean

3.777778

Median

4

Mode

5

Count (n)

9

Sum

34

Range

5

3.7778 — Mean

Calculation Breakdown

  1. Meanx̄ = Σx / n = 34 / 9 = 3.777778
  2. MedianMiddle of 1, 2, 3, 3, 4, 5, 5, 5, … = 4
  3. Mode5

Data Distribution (1,2,3,3,4,5,5,5,6)

Interactive visualization based on your current inputs

Calculated Value
0.01.53.04.56.0Min = 1Median = 4Mean ≈ 3.78Mode = 5Max = 6

What Is the Mean, Median, and Mode Calculator?

Mean, median, and mode are the three measures of central tendency used in descriptive statistics.

How Does the Mean, Median, and Mode Calculator Work?

Mean = sum/count. Median = middle of sorted list. Mode = most frequent value.

Mean, Median, and Mode Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Mean = Σx/n Median = middle value (sorted) Mode = most frequent

Mean averages all values; median splits the sorted list in half; mode is the most common value.

How to Use the Mean, Median, and Mode Calculator

  1. Enter numbers separated by commas to get all statistics simultaneously.

Step-by-Step Example Calculation

1,2,3,3,4,5,5,5,6

Input Values:

numbers:1,2,3,3,4,5,5,5,6
Worked Steps: Mean = 3.78, Median = 4, Mode = 5.

Understanding Your Result

Skewed distributions show a gap between mean and median. Mode reveals the most common value.

Factors That Affect the Result

  • Outliers affect the mean strongly but not the median.

When Should You Use This Calculator?

  • Summarizing test scores, income distributions, market research.

Assumptions & Limitations

  • Multiple modes are listed when they exist.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard arithmetic; median uses linear interpolation for even-count lists.

\n

Explore more tools and calculators in Statistics Calculators