STATISTICS / CENTRE

Average Calculator – Mean, Median, Mode & Weighted Mean

Use this average calculator to analyse a list of numbers quickly. It calculates the mean, median, mode, range, minimum, maximum, count, and sum, while keeping duplicate and negative values intact.

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A clear answer before the details

The mean is found by adding every value and dividing by the count. The median is the middle sorted value, and the mode is the value or values that occur most often.

Average calculator for the mean, median, and mode

An average calculator is most useful when it gives more than one summary. The mean calculator adds every value and divides by the count. A mean median mode calculator also sorts the data to find the middle value and checks which values repeat most often. The range calculator compares the minimum and maximum by subtracting the smallest value from the largest. Together, these measures show the centre and spread of an average of numbers without hiding unusual values.

When to use a weighted average

A weighted average calculator is helpful when observations do not all have the same importance. For example, if homework counts once and an exam counts three times, enter matching values and weights rather than repeating numbers manually. The weighted mean is Σ(value × weight) ÷ Σ weights. Always check that each value has one weight and that the total weight is not zero. For skewed data, compare the mean with the median before describing what is typical.

Formula guide

The key equations are separated below. Start with the calculator mode, then choose the shape or model that matches your problem.

Mean

x̄ = Σx ÷ n

Add every value and divide by the number of values.

Median

median = middle sorted value

For an even count, average the two middle values.

Mode

mode = most frequent value

A dataset can have no mode, one mode, or several modes.

Range

range = maximum − minimum

Range is a simple measure of spread.

Weighted average

x̄ᵥ = Σ(value × weight) ÷ Σweight

Use this when values do not all count equally.

Worked example

For 2, 4, and 6, the sum is 12 and the count is 3, so the mean is 12 ÷ 3 = 4. The median is also 4 and the range is 4.

Formulas for common use cases

Use the matching equation for the problem you are solving, then enter its variables in the calculator above.

Average of numbers

mean = sum ÷ count

Best for a balanced list without extreme outliers.

Weighted average

x̄ᵥ = Σ(value × weight) ÷ Σweight

Each weight must match exactly one value.

Compare typical values

spread = maximum − minimum

Compare the range with the mean or median to spot unusual values.

How to use this calculator

  1. Enter values separated by commas, spaces, or new lines.
  2. Choose the standard or weighted mode when needed.
  3. Check the sorted list and the statistic summary.
  4. Use the copy control to share the result with a classmate or colleague.

Where it helps

An average can summarise test scores, measurements, response times, budgets, or repeated experiments. Looking at mean, median, and mode together is more informative than relying on one number. The median is often better when an outlier pulls the mean away from the typical value, while a weighted mean is useful when assignments or observations count differently.

Common mistakes

Do not omit repeated values: every observation contributes to the mean unless you are explicitly using a frequency table. Check for accidental text, empty separators, and mismatched value-weight lists. A mode does not always exist, and a dataset can have more than one mode. Sorting is only a presentation step; it does not change the mean.

Frequently asked questions

What is the difference between mean, median, and mode?

The mean is the arithmetic average, the median is the middle sorted value, and the mode is the value that occurs most often.

Can I enter negative numbers?

Yes. Separate values with commas, spaces, or new lines, and the calculator will include valid negative numbers in every statistic.

What is a weighted average?

A weighted average gives some values more influence than others. Enter matching value and weight lists to calculate it.

How do I calculate the average of numbers?

Add every number and divide by how many numbers you entered. For a skewed list, compare that mean with the median and range.

Can I share a calculation?

Yes. Use Share to copy a URL containing the current calculator values, then open that link on another device or send it to someone else.

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