Statistics

Mean, Median & Mode Calculator

Calculate all three measures of central tendency simultaneously. Compare and understand when to use each.

Input Data

Dataset (comma or space-separated)

Results

Mean

13.7500

Median

12.0000

Mode

8,12

Count (n)

Range

25.0000

Mode Frequency

Central Tendency: Mean, Median & Mode

Mean (Average): Sum of all values divided by count. Formula: mean = Σx / n. Most sensitive to outliers.

Median (Middle): Middle value when data sorted. Robust to outliers. For even count, average of two middle values.

Mode (Frequent): Most frequently occurring value. Useful for categorical data. Can have multiple modes (bimodal, multimodal).

When to use each:

Mean: Symmetric, normally distributed data (test scores, heights, continuous measurements).
Median: Skewed income data, house prices, datasets with outliers.
Mode: Most common category (favorite color, survey responses, discrete choices).

How to Calculate All Three

Calculate Mean

Sum all values, divide by count. Formula: Σx / n

Find Median

Sort values, pick middle. If even count, average the two middle values.

Identify Mode

Count frequencies, find value(s) appearing most often (frequency > 1).

Example Calculation

Dataset: 5, 8, 12, 8, 15, 22, 8, 30, 12, 15, 18, 12 (n=12) MEAN: Sum = 5 + 8 + 12 + 8 + 15 + 22 + 8 + 30 + 12 + 15 + 18 + 12 = 165 Mean = 165 / 12 = 13.75 MEDIAN: Sorted: [5, 8, 8, 8, 12, 12, 12, 15, 15, 18, 22, 30] Even count (12), so median = (12 + 12) / 2 = 12 MODE: Frequency: 5(1), 8(3), 12(3), 15(2), 18(1), 22(1), 30(1) Modes: 8 and 12 (both appear 3 times) — bimodal dataset