Enter a list of numbers separated by commas to calculate the mean, median, and mode:
Understanding Mean, Median, and Mode
What is the Mean?
The mean (or average) is the sum of all values divided by the number of values. It’s a measure of central tendency, providing an overall average.
Formula for the Mean:
\( \text{Mean} = \frac{\sum X}{N} \)
- \( \sum X \): Sum of all values
- \( N \): Number of values
What is the Median?
The median is the middle value when the data set is ordered from smallest to largest. If the number of values is odd, the median is the middle value. If it’s even, the median is the average of the two middle values.
Formula for the Median (sorted data):
For odd \( N \): \( \text{Median} = X_{\frac{N + 1}{2}} \)
For even \( N \): \( \text{Median} = \frac{X_{\frac{N}{2}} + X_{\frac{N}{2} + 1}}{2} \)
What is the Mode?
The mode is the value(s) that appear most frequently in the data set. There can be one mode, multiple modes, or no mode if all values are unique.
Suf is a senior advisor in data science with deep expertise in Natural Language Processing, Complex Networks, and Anomaly Detection. Formerly a postdoctoral research fellow, he applied advanced physics techniques to tackle real-world, data-heavy industry challenges. Before that, he was a particle physicist at the ATLAS Experiment of the Large Hadron Collider. Now, he’s focused on bringing more fun and curiosity to the world of science and research online.