Mean, Median, Mode, Range Calculator

Related Calculators

Data set: The full list of numbers entered into the calculator.

Mean: The average. Add all values, then divide by the Count. [3]

Median: The middle value after the data is sorted. If there are an even number of values, it is the average of the two middle values.

Mode: The value or values that appear most often in the data set. [1]

Range: The difference between the Maximum and Minimum.

Count: How many valid numbers were included after the input was cleaned.

Sorted data: The cleaned numbers arranged from least to greatest so you can check the median and mode.

Mode interpretation: A short note telling you whether the set has one mode, multiple modes, or no mode.

Mistake: Pasting letters or mixed entries such as 4, 7, x into Data set .
Fix: Remove the unreadable parts so Data set contains numbers only, then calculate again.

Mistake: Using commas inside one value such as 1,000 in Data set , which is unclear in a list.
Fix: Enter that value without a thousands comma, such as 1000, so the calculator does not treat it as separate numbers.

Mistake: Forgetting to sort by hand before checking Median and thinking the middle pasted value must be the answer.
Fix: Use the Sorted data output to verify the ordered list the calculator actually used.

Mistake: Assuming every repeated number must be the only Mode .
Fix: Look at both Mode and Mode interpretation to see whether there is one mode, multiple modes, or no mode.

Mistake: Thinking Range is the largest value by itself.
Fix: Compare Maximum and Minimum ; Range is maximum minus minimum.

Mistake: Expecting the same number of digits every time in Mean , Median , or Range .
Fix: Change Decimal places in results in Advanced options if you want more or fewer shown digits.

• The calculator needs at least one valid number in Data set. Empty input gives an error.
• It accepts commas, spaces, and line breaks as separators, but it does not support thousands separators inside values because entries like 1,000 are ambiguous in a list.
• If any token in Data set is not a valid number, the calculator blocks the result and tells you which entries could not be read.
• Range is computed as Maximum minus Minimum, so it should be 0 or greater when at least one value is valid.
• For an even Count, Median can be a decimal even if every entered value is a whole number.
• If every distinct value appears exactly once, the calculator reports no mode instead of listing all values.
• Rounding in Decimal places in results changes display only; internal calculations use the parsed numeric values.

How the calculator cleans the input

The calculator reads Data set as a list of numbers separated by commas, spaces, or line breaks. Extra separators and blank lines are ignored. Decimals and negative numbers are allowed. If any entry is not a valid number, the calculator shows an error instead of guessing.

How each result is calculated

count = number of valid values

sum = x1 + x2 + ... + xn

mean = sum / n

median (odd n) = middle value in the sorted list

median (even n) = (two middle sorted values) / 2

mode = value(s) with the greatest frequency; if the greatest frequency is 1, there is no mode

minimum = smallest sorted value

maximum = largest sorted value

range = maximum - minimum

These are the standard classroom rules for mean, median, mode, and range. [3]

Mode reporting rule

If Mode rule is set to list values, the calculator shows all tied mode values in ascending order when more than one value shares the highest frequency. If Mode rule is set to interpretation only, the calculator focuses on the text explanation in Mode interpretation.

Worked mini-example

Suppose Data set is 2, 2, 3, 3, 5. The cleaned sorted list is 2, 2, 3, 3, 5.

count = 5

sum = 2 + 2 + 3 + 3 + 5 = 15

mean = 15 / 5 = 3

median = 3

mode = 2, 3

range = 5 - 2 = 3

Because 2 and 3 both appear twice, the set is multimodal, which means it has more than one mode.

Assumptions behind the results

The calculator assumes each entered number is intended to be one separate value in the data set. It does not infer missing data, weights, units, or grouped frequency tables. Results can differ from a homework method only if your teacher uses a different rule for handling mode or rounding the displayed answers.