Statistics Calculator — Midrar Academy Learning Lab

Paste or type numbers to compute mean, median, mode, variance, quartiles, and more

Arithmetic Mean

x̄ = (Σxᵢ) / n

Median

Middle value of sorted data;
if n even: avg of two middle

Mode

Most frequent value(s) in dataset

Population Variance

σ² = Σ(xᵢ − x̄)² / n

Sample Variance

s² = Σ(xᵢ − x̄)² / (n−1)

Standard Deviation

σ = √σ² (population)
s = √s² (sample)

Quartiles (Inclusive)

Q1 = median of lower half
Q2 = median
Q3 = median of upper half

IQR

IQR = Q3 − Q1

Range

Range = Max − Min

Sturges' Rule (bins)

k = 1 + 3.322 × log₁₀(n)
(rounded, clamped 5–10)

Descriptive Statistics Calculator