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Average Calculator

Calculate arithmetic mean, median, sum, and count from numbers.

7 numbers recognized
Arithmetic Mean (Average)
87.142857

Calculated across 7 values • Total Sum: 610

Median88
Count (n)7
Total Sum610
Minimum78
Maximum95
Range17

How It Works

The Average Calculator analyzes numeric datasets of any size. Enter numbers separated by commas, spaces, tabs, or newlines to compute standard summary statistics.

It computes the arithmetic mean, statistical median (middle value), total sum, minimum, maximum, count of items, and dataset range.

Formula & Calculation

Arithmetic Mean (Average) Formula

Mean (x̄) = (Σ x) / n
Σ x=Sum of all valid observations in dataset
n=Total sample count of observations

Median Formula

Median = Middle Value of Ordered Sample
Odd n=Value at index (n + 1) / 2 after sorting
Even n=Average of the two middle values: (x[n/2] + x[n/2 + 1]) / 2

Unlike the mean, the median is an outlier-resistant statistic representing the central tendency.

Step-by-Step Example

Example: Dataset of 5 Numbers (10, 20, 30, 40, 50)

Calculating mean, median, and range:

Step 1: Sum all numbers: 10 + 20 + 30 + 40 + 50→ 150 total sum
Step 2: Divide sum by sample count (n = 5): 150 / 5→ 30.00 (Mean)
Step 3: Find middle value in sorted list: [10, 20, 30, 40, 50] → 3rd number is 30→ 30.00 (Median)

The mean is 30.00, median is 30.00, and data range is 40 (50 − 10).

Assumptions & Edge Cases

  • Delimiter Flexibility: Inputs can be separated by commas, spaces, tabs, or line breaks. Trailing commas, leading spaces, and blank lines are ignored.
  • Single Observation Datasets: When only one valid number is supplied, the mean, median, minimum, and maximum are all equal to that single number, with a range of 0.

Frequently Asked Questions

When should I use the median instead of the mean?

Use the median when dealing with skewed distributions or datasets containing extreme outliers (such as home prices or personal incomes), because a single extreme value will distort the mean but not the median.