Mean Median Mode Calculator

1. Type or paste your numbers into the input box. Separate them with commas or spaces. Example: 4, 7, 13, 2, 7, 1, 9, 7.
2. View results instantly. The calculator shows the mean, median, mode, range, variance, and standard deviation all at once.
3. Read the step-by-step section to see exactly how each value was calculated, including the sorted list, the mean arithmetic, and the median position logic.

The mode is highlighted in the frequency count display. If no single value appears more than others, "None" is shown.

Mean = (x1 + x2 + ... + xn) / n

Median:
  Sort the values first.
  Odd count:  middle value
  Even count: (value at n/2 + value at n/2+1) / 2

Mode: the value(s) that appear most often

Range = Max - Min

Variance (population) = Σ(xi - mean)² / n

Standard Deviation = √Variance

Example for [1, 2, 2, 3, 4]:
  Mean = 12 / 5 = 2.4
  Median = 2 (middle of sorted list)
  Mode = 2 (appears twice)
  Range = 4 - 1 = 3
  Variance = [(1-2.4)² + (2-2.4)² + (2-2.4)² + (3-2.4)² + (4-2.4)²] / 5
           = [1.96 + 0.16 + 0.16 + 0.36 + 2.56] / 5 = 1.04
  Std Dev = √1.04 ≈ 1.0198