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Average Calculator

Calculate mean, median, mode, and range from any list of numbers. Paste a dataset and get all statistics instantly.

5 numbers entered

Mean (Average)

30

Median

30

Mode

None

Range

40

Sum150
Count5
Minimum10
Maximum50

Sorted values

1020304050

About the Average Calculator

Mean, median, and mode are three different ways to describe the center of a dataset, and they tell very different stories. For a dataset of 10 employee salaries where 9 earn ₹5L and 1 earns ₹50L, the mean is ₹9.5L (misleadingly high), but the median is ₹5L (representative of most employees). Choosing the right measure of central tendency is essential in business analysis, academic research, and everyday data interpretation.

Measures of Central Tendency

Mean = Sum of all values / Count · Median = middle value when sorted (average of two middle values if even count) · Mode = most frequently occurring value

Range = Maximum - Minimum · Standard deviation measures spread around the mean · For skewed data (income, property prices): median is more representative than mean

Worked Example

Monthly sales data: 120, 145, 132, 98, 210, 132, 165, 178, 145, 132

Dataset:120, 145, 132, 98, 210, 132, 165, 178, 145, 132
Count:10 values

Mean = 145.7 · Median = 138.5 (avg of 5th & 6th sorted values) · Mode = 132 (appears 3 times) · Range = 112

Tips & Insights

  • 1

    For income, property prices, and other right-skewed data, median is always more meaningful than mean.

  • 2

    Multiple modes are possible - a bimodal distribution has two peaks, suggesting two distinct groups in the data.

  • 3

    Range alone is a poor spread measure - a dataset of [1, 50, 50, 50, 100] and [1, 25, 50, 75, 100] have the same range but very different distributions.

Why this matters for you

Statistical literacy is increasingly important as data surrounds every decision. A headline saying 'average salary ₹12L' can be misleading if a handful of high earners inflate the mean while most employees earn ₹5-6L. Understanding which average to trust - and when - is a critical thinking skill for consumers, managers, and citizens.

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Frequently Asked Questions