Mean Median Mode Calculator
Calculate mean, median, and mode
Frequently Asked Questions
What is the difference between mean, median, and mode?
Mean is the average (sum divided by count). Median is the middle value when sorted. Mode is the most frequent value. For data set {2, 3, 3, 5, 7}: mean = 4, median = 3, mode = 3.
When should I use median instead of mean?
Use median when data has outliers or is skewed. For incomes {$30K, $35K, $40K, $45K, $500K}: mean = $130K (misleading), median = $40K (representative). Median is robust against extreme values.
What does the calculator show besides mean, median, and mode?
The calculator also computes range, variance, standard deviation, quartiles (Q1, Q2, Q3), interquartile range (IQR), and identifies outliers. These statistics give a complete picture of your data distribution.
Can a data set have multiple modes?
Yes. A data set with one mode is unimodal. Two modes is bimodal (e.g., {1,2,2,3,4,4,5}). Three or more modes is multimodal. If all values appear equally often, the data set has no mode.
How do I calculate the weighted mean?
Weighted mean = Σ(value × weight) / Σ(weights). For grades: Exam 80% (weight 0.6) + Homework 90% (weight 0.4) = (80×0.6 + 90×0.4) / 1.0 = 84%. The calculator supports both simple and weighted averages.