What is the difference between Mean and Median?

The Mean is the arithmetic sum of all values divided by the total count, which can be skewed by extreme outliers. The Median is the exact middle value of an ordered dataset, making it robust against outliers.

Can a dataset have more than one Mode?

Yes. If two values tie for the highest frequency, the dataset is bimodal. If three or more tie, it is multimodal. If every value appears only once, there is no mode.

Mean, Median, Mode & Range Calculator

Fundamental Measures of Central Tendency & Dispersion

Descriptive statistics distill raw data collections into understandable mathematical summaries:

Core Statistical Metrics

Arithmetic Mean (\(\bar{x}\)): The sum of all elements divided by \(n\). \(\bar{x} = \frac{1}{n}\sum x_i\).
Median (\(\tilde{x}\)): The middle element of a sorted list. For even lists, the average of the two middle numbers.
Mode: The value appearing most frequently in the sample.
Standard Deviation (\(s\)): The square root of variance, measuring average dispersion around the mean.

Frequently Asked Questions (FAQ)

When should I use the Median instead of the Mean?

Use the Median when your data has extreme skewness or outliers (such as household income distributions or real estate home sale prices).