Average Calculator
Mean, median, mode, range and standard deviation
Mean (Average)
—
Median
—
Mode
—
Range
—
Std Deviation
—
Count
—

What is an average (mean, median, mode)?

An average calculator computes statistical measures for a dataset: mean (sum ÷ count), median (middle value), mode (most frequent), range (max − min), and standard deviation (spread). These are used everywhere from exam scores to business analytics.

Formula used

Mean = Sum ÷ Count Median = Middle value when sorted (or average of two middle values for even count) Mode = Most frequent value Range = Max − Min Std Deviation = √(Σ(x − mean)² ÷ n)

How to use this calculator

  1. Enter numbers separated by commas or spaces (e.g. 72, 85, 68, 91)
  2. Click Calculate — all statistics shown instantly

Example

Example 1 — Exam scores: 72, 85, 68, 91, 74, 88, 65, 79
Count: 8 | Sum: 622
Mean = 622 ÷ 8 = 77.75
Sorted: 65, 68, 72, 74, 79, 85, 88, 91 → Median = (74+79)÷2 = 76.5
Range = 91 − 65 = 26

Example 2 — When median beats mean (salary data):
Salaries: ₹30K, ₹32K, ₹35K, ₹33K, ₹28K, ₹31K, ₹5,00K (CEO)
Mean = ₹98K (distorted by CEO) | Median = ₹32K (far more representative)
Rule: Use median when outliers exist. Use mean for symmetric data.

Frequently asked questions

When the data has outliers — extreme high or low values. Income, property prices, and population data almost always use median for this reason.
How spread out values are around the mean. Small std dev = values cluster tightly. Large = wide variation. In finance, std dev measures investment volatility/risk.
Yes — if all values appear exactly once, there is no mode. If two values appear equally often, the dataset is bimodal.