ToolDox
Math

Mean, Median & Mode Calculator

Enter numbers and instantly get mean, median, mode, range, sum, and count.

Count
11
Number of values
Sum
195
Total of all values
Mean
17.727273
Arithmetic average
Median
15
Middle value
Mode
15
Most frequent value
Min
7
Smallest value
Max
44
Largest value
Range
37
Max minus Min

Private by design

Calculator results are estimates based on your inputs. They are useful for learning, planning, and comparison, but they are not professional advice.

Use responsibly

Use the result as a practical first pass, then verify any important decision with the appropriate source or professional.

Free access

ToolDox tools are free to use, require no signup, and are supported by clear navigation, guides, templates, and related tools.

Related Tools

Standard Deviation Calculator
Paste a list of numbers and get mean, median, mode, variance...
Correlation Calculator
Enter two sets of numbers and calculate Pearson correlation ...
Random Number Generator
Generate random numbers in any range. Single number, list, o...
Percentage Calculator
Calculate percentages, percentage change, and what percent o...

Why these three statistics matter

Mean, median, and mode all describe what is "typical" in a dataset, but they do it in different ways. That difference matters because the wrong summary can lead to the wrong story. A salary dataset with a few executives can make the average look much higher than what most people actually earn. A retail dataset may need the most common price point, not the average. These statistics are basic, but they are often the first numbers decision-makers see.

Definitions

Mean: the arithmetic average. Useful, but sensitive to outliers.

Median: the middle value when sorted. More robust when data is skewed.

Mode: the most frequently occurring value. Best for spotting the most common repeated outcome.

Range: maximum minus minimum. A simple sense of spread.

Mean vs median: which should you trust?

For balanced, symmetric distributions, mean and median are often similar. For skewed data, median usually tells a fairer story about the typical case. That is why median household income and median house prices are often reported instead of the mean. The average can be pulled upward by a small number of extreme values.

When mode is the most useful metric

Mode is often underrated. It matters when you care about the most common value rather than the center of a distribution. In operations, it might tell you the most frequent ticket category. In retail, it may reveal the most common basket size or price point. In education, it can show the most common grade band if the mean hides clustered outcomes.

Worked examples

  • Salaries: if most employees earn between 28,000 and 40,000 but one executive earns 400,000, the mean rises sharply while the median still reflects the typical employee.
  • House prices: a few luxury sales can distort the average for an area, while median gives a more stable view of the market.
  • Product sizing: mode can reveal the size or configuration most often purchased.

Related tools and guides