All Tools

Mean, Median & Mode Explorer

Enter a dataset to see the mean, median, and mode with an interactive number line, box-and-whisker plot, and step-by-step calculations. Try different presets to see how outliers and skewed data affect each measure.

Try a dataset

5 data points

2345678910MeanMedian
Data pointMean (balance point)Median (middle)

Box-and-Whisker Plot

2345678910MinQ1MedQ3Max

Statistics

Mean

6

Median

6

Mode

None

Mean Calculation

Mean=2+4+6+8+105=305=6\text{Mean} = \frac{2 + 4 + 6 + 8 + 10}{5} = \frac{30}{5} = 6

Median

Sorted: 2, 4, 6, 8, 10Middle value (position 3): 6\text{Sorted: } 2,\, 4,\, 6,\, 8,\, 10 \quad \text{Middle value (position 3): } 6

Mode

No mode (every value appears exactly once).

Five-Number Summary

Min

2

Q1

3

Median

6

Q3

9

Max

10

Range = 8IQR = 6

Reference Guide

Mean (Average)

The mean is the sum of all values divided by the number of values. Think of it as the "balance point" of the data.

Mean=Sum of all valuesNumber of values\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}

The mean is sensitive to outliers. One very large or very small value can pull the mean far from where most data sits. Try the "Outlier" preset to see this in action.

Median (Middle Value)

The median is the middle value when data is sorted from smallest to largest. Half the values are below it and half are above.

For an odd number of values, the median is the single middle value. For an even number, it is the average of the two middle values.

The median is resistant to outliers. Even extreme values do not move the median much, making it a better measure of "typical" for skewed data.

Mode (Most Frequent)

The mode is the value that appears most often. A dataset can have one mode, multiple modes (bimodal, trimodal), or no mode at all if every value appears exactly once.

The mode is the only measure of center that works for non-numerical data (like favorite colors). On the number line, mode values are highlighted in amber.

Box-and-Whisker Plot

A box plot summarizes data using the "five-number summary": minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

The box

Spans from Q1 to Q3, covering the middle 50% of the data. The width of the box is the Interquartile Range (IQR).

The whiskers

Extend from the box to the minimum and maximum values, showing the full spread of the data.