Calcs4All

APR 23 · 2026

Mean median mode range calculator

Calculate the mean, median, mode, and range from up to 12 values while ignoring blank fields.

What this calculator covers

Use this calculator when you want the most common descriptive statistics from the same short list of values without switching tools.

Blank value fields are ignored, which makes it practical for quick scratchwork or small classroom-style datasets where the final count may change as you type.

Frequently asked questions

When should I use the median instead of the mean?
The median is more informative than the mean when the dataset contains outliers or is strongly skewed. A single very large or very small value can pull the mean far from the typical value, while the median stays anchored at the middle of the sorted list.
What happens when a dataset has no mode?
When every value in the dataset appears exactly once, there is no mode and the calculator reports it as such. A mode only exists when at least one value appears more than once.
How is range different from standard deviation?
Range measures only the gap between the single highest and lowest values, so one extreme outlier can make it large even if most values cluster tightly together. Standard deviation considers how far every value sits from the mean, giving a more complete picture of spread across the whole dataset.
Can a dataset have more than one mode?
Yes. If two or more values each appear the same number of times and more frequently than any other value, the dataset is multimodal and all tied values are reported as modes.

Tool

Run the calculation

RESULT · MEAN

â„–155

Primary result

14.5

For the values 8, 12, 12, 15, 19, 21, the mean is 14.5, the median is 13.5, the mode is 12, and the range is 13.

Values used
8, 12, 12, 15, 19, 21
Mean
14.5
Median
13.5
Mode
12
Range
13

Step-by-step solution

  1. 1.Ignore blank fields, keep the 6 numeric entries, and sort them to audit the center and spread.
  2. 2.Add the values and divide by the count to get the arithmetic mean 14.5.
  3. 3.Read the middle value(s) for the median 13.5, identify the most frequent value(s) for the mode 12, and subtract the minimum from the maximum to get the range 13.

Walkthrough

Visual walkthrough

This calculator keeps the common center-and-spread statistics together so the list can be checked from multiple angles at once.

  1. 01

    Collect the active numeric values

    8, 12, 12, 15, 19, 21

    Blank fields are ignored, so only the filled numeric values contribute to the summary statistics.

  2. 02

    Find the center

    Mean 14.5 · Median 13.5 · Mode 12

    Mean balances the list, median marks the middle, and mode shows the most frequent value when repeats exist.

  3. 03

    Measure the spread

    The range tracks the full distance from the minimum to the maximum value in the set.

    8 to 21 → range 13