Average Calculator – Mean, Median, Mode & More
Types of Averages
An average summarises a dataset with a single representative value. Different types of averages are appropriate for different situations. This calculator covers three modes: simple statistics (mean, median, mode, range), weighted average for data with varying importance, and moving average for time-series analysis.
Mean vs Median vs Mode
- Mean: Sum of all values ÷ count. Sensitive to outliers.
- Median: Middle value when sorted. Robust to outliers.
- Mode: Most frequent value. Can be multiple or none.
- Range: Maximum − Minimum. Measures spread.
Frequently Asked Questions
What is the difference between mean, median, and mode?
Mean is the sum of all numbers divided by the count. Median is the middle value when numbers are sorted. Mode is the most frequently occurring value. All three are measures of central tendency but behave differently with skewed data.
How is weighted average calculated?
Weighted average = (Σ value × weight) / (Σ weight). It is used when some values are more significant than others, such as calculating a final exam grade where different components carry different marks.
What is a moving average?
A moving average (or rolling average) is the average of a fixed number of consecutive values in a dataset. It is used in stock market analysis and time-series data to smooth out short-term fluctuations and highlight trends.
What is the average of 1 to 100?
The mean of numbers 1 to 100 is 50.5. This is calculated as (first + last) / 2 = (1 + 100) / 2 = 50.5, using the arithmetic progression mean formula.
When should I use median instead of mean?
Use median when your data has outliers or is heavily skewed. For example, median salary is a better measure than mean salary because a few very high earners can skew the mean significantly upward.
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