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CalcSolver

Mean (Average) Calculator

Enter a list of numbers separated by commas or spaces to find the mean (average). You also get the median, mode, range, sum and count — each with the working shown.

CalculatorEnter values below

Separate values with commas or spaces.

Formula

Mean = (sum of all values) ÷ (number of values) = Σx / n

How it works

  1. 1

    The mean is the sum of all values divided by how many values there are.

  2. 2

    The median is the middle value when the data is sorted (or the average of the two middle values).

  3. 3

    The mode is the value (or values) that appear most often.

  4. 4

    The range is the difference between the largest and smallest value.

Worked examples

Mean of five numbers

Find the mean of 12, 15, 20, 22, 31.

  1. Sum = 12 + 15 + 20 + 22 + 31 = 100
  2. Count = 5
  3. Mean = 100 ÷ 5 = 20

Answer: 20

Even number of values (median)

Find the median of 4, 8, 15, 16.

  1. Sorted: 4, 8, 15, 16
  2. Two middle values: 8 and 15
  3. Median = (8 + 15) ÷ 2 = 11.5

Answer: 11.5

Frequently asked questions

What is the mean of a data set?
The mean, or average, is found by adding all the numbers together and dividing by how many numbers there are.
What is the difference between mean, median and mode?
The mean is the average, the median is the middle value when the data is ordered, and the mode is the value that occurs most frequently.
Does this calculator give standard deviation?
Yes. It reports the population standard deviation, which measures how spread out the values are around the mean.
How do I enter my numbers?
Type or paste your values separated by commas or spaces (for example: 12, 15, 20). The calculator ignores blanks and works with decimals and negative numbers.
Should I use the mean or the median?
Use the mean for roughly symmetric data with no extreme values. Use the median when the data is skewed or has outliers (like incomes or house prices), because it isn’t dragged by extremes.
Can a data set have no mode or more than one?
Yes. If every value appears once, there is no mode. If two or more values tie for most frequent, the set is bimodal or multimodal and all the top values are reported.