CalculationTime

Mean Median Mode Calculator

Calculate the mean, median, mode and range for a small data set, with visible ordering, frequency checks and a printable classroom or data-review worksheet.

Live math canvas

Your numbers, formula and explanation together

Mean Median Mode Calculator: 64 summary statistics. Mean Median Mode Calculator uses the declared inputs to produce a transparent default result. Value 1: 4; Value 2: 7; Value 3: 7; Value 4: 9; primary comparison: 4 and 7.

Formula applied

The exact method behind this answer

CalculationTime keeps the method visible so the number can be checked instead of blindly trusted.

Mean = sum of values ÷ number of values. Median = middle value after sorting, or the average of the two middle values for an even count. Mode = most frequent value. Range = maximum − minimum.
  1. Apply the formulaMean = sum of values ÷ number of values. Median = middle value after sorting, or the average of the two middle values for an even count. Mode = most frequent value. Range = maximum − minimum.64 summary statisticsMean Median Mode Calculator uses the declared inputs to produce a transparent default result. Value 1: 4; Value 2: 7; Value 3: 7; Value 4: 9; primary comparison: 4 and 7.

Your live breakdown

Current inputs in the calculation

These values come from the controls above and update when the calculator changes.

Value 1
4
First value in the data set. All six visible values are included.
Value 2
7
Second value in the data set.
Value 3
7
Third value in the data set.
Value 4
9
Fourth value in the data set.
Value 5
12
Fifth value in the data set.
Value 6
15
Sixth value in the data set.
Optional comparison value
10
Optional classroom or review value to compare with the calculated mean.

Resulting answer

64 summary statistics

Mean Median Mode Calculator uses the declared inputs to produce a transparent default result. Value 1: 4; Value 2: 7; Value 3: 7; Value 4: 9; primary comparison: 4 and 7.

Answer
64 summary statistics
Live support
Mean Median Mode Calculator uses the declared inputs to produce a transparent default result. Value 1: 4; Value 2: 7; Value 3: 7; Value 4: 9; primary comparison: 4 and 7.

Assumptions used

What this answer assumes

Best for classroom worksheets, small data checks, mark summaries, survey examples, spreadsheet verification and reports where the average, middle and most common value need to be shown together.

  • All six visible values are included in the calculation, including zeros and repeated values.
  • The calculator treats the inputs as a simple numeric data set, not grouped or weighted data.
  • If every value appears once, the data set is reported as having no repeated mode.
  • Mean can be pulled by outliers, so median and range should be read beside it when the data is uneven.

Master’s Tip

How to use the result well

Master’s Tip: do not pick one average word casually. Mean is best for balanced numeric data, median is often clearer when outliers exist, and mode is useful when repetition matters.

Printable record

What belongs in the saved calculation

Save the inputs, result, formula, assumptions, page URL and date together so the calculation can be reviewed later.

Value 1
4
First value in the data set. All six visible values are included.
Value 2
7
Second value in the data set.
Value 3
7
Third value in the data set.
Value 4
9
Fourth value in the data set.

Embeddable calculator

Embed this calculator

Copy a clean iframe version with the required CalculationTime attribution link built in.

Formula

Mean = sum of values ÷ number of values. Median = middle value after sorting, or the average of the two middle values for an even count. Mode = most frequent value. Range = maximum − minimum.

Worked example

For 4, 7, 7, 9, 12 and 15, the sum is 54 and the mean is 54 ÷ 6 = 9. The sorted middle values are 7 and 9, so the median is 8. The mode is 7 because it appears twice. The range is 15 − 4 = 11.

Professional note

Master’s Tip: do not pick one average word casually. Mean is best for balanced numeric data, median is often clearer when outliers exist, and mode is useful when repetition matters.

Regional and unit assumptions

Standard or basis: elementary descriptive statistics for an unweighted numeric list. The page uses direct arithmetic and does not infer sampling design, population claims, grouped classes or statistical significance.

Assumptions and limitations

Methodology & Accuracy

How this calculator is checked

CalculationTime pages are built around visible arithmetic: the formula, assumptions, worked example and practical limitations are shown so the result can be checked rather than simply trusted.

Formula used

Mean = sum of values ÷ number of values. Median = middle value after sorting, or the average of the two middle values for an even count. Mode = most frequent value. Range = maximum − minimum.

Standard or basis

Standard or basis: elementary descriptive statistics for an unweighted numeric list. The page uses direct arithmetic and does not infer sampling design, population claims, grouped classes or statistical significance.

Where a calculator follows a named legal, trade or industry standard, that standard is cited visibly. Otherwise the page uses transparent general arithmetic and states its limits.

Master's Tip

Master’s Tip: do not pick one average word casually. Mean is best for balanced numeric data, median is often clearer when outliers exist, and mode is useful when repetition matters.

Related calculators

These cards are resolved from calculator data, category context and live-route status so the page links to useful next steps without hand-built link clutter.

Percentage & MathAverage CalculatorCalculate the arithmetic mean of up to five values, with the formula, total, count, outlier check and a printable classroom or report worksheet.Open calculatorMath & PercentagesMedian CalculatorFind the middle value of a small number set, with the sorted order, count and even-number averaging rule kept visible.Open calculatorMath & PercentagesMode CalculatorFind the most repeated value in a small data set, with the frequency count and no-mode case shown clearly.Open calculatorMathRange CalculatorFind the range of up to six numbers, with the minimum, maximum and difference shown for classroom, score and measurement checks.Open calculatorMath & StatisticsStandard Deviation CalculatorCalculate mean, population standard deviation and sample standard deviation for a small data set, with the squared-difference method visible.Open calculatorPercentage & MathProbability CalculatorCalculate probability from favourable outcomes and total outcomes, then show odds, complement probability, repeated-trial chance and a printable classroom or risk-note record.Open calculator

Questions

How do you find mean, median and mode?

Find the mean by adding all values and dividing by the count. Find the median by sorting the data and taking the middle. Find the mode by identifying the value that appears most often.

What is the mean of 4, 7, 7, 9, 12 and 15?

The sum is 54 and there are six values, so the mean is 54 ÷ 6 = 9.

What happens if there are two middle values?

When the data set has an even number of values, the median is the average of the two middle values after sorting.

Can a data set have no mode?

Yes. If every value appears the same number of times and no value repeats more than the others, the calculator reports no repeated mode.

What should I print for a mean median mode worksheet?

Print the original values, sorted values, sum, count, mean, median, mode, range, formula and notes area so the calculation can be checked or marked later.

Calculation note

Mean, median and mode are often taught together because “average” can mean different summaries. Keeping the sorted list, frequency check and range beside the answer helps readers see which summary fits the data.

Mean balances the total

The mean shares the total equally across all values. It is sensitive to every number, which makes it useful but also vulnerable to outliers.

Median starts by sorting

The median ignores the exact distance of extreme values and asks for the middle position. That makes it a useful companion when the data is skewed.

Mode looks for repetition

The mode is about frequency, not size. It is especially helpful for categories, common scores, repeated measurements and quick classroom examples.

Sources and further readingOpenStax Introductory Statistics — Measures of the Center of the DataKhan Academy — Mean, median and mode