Math · Statistics

Mean Deviation Calculator

Measure how spread out your data is with mean absolute deviation (MAD), mean squared deviation (MSD) and root mean square deviation (RMSD).

Numbers (separate by comma, space, semicolon or new line)

Mean deviation about the arithmetic mean (x̄ = Σx/n)

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Mean absolute deviation: MAD = (1/n) · Σ|x₀ − x̄| Mean squared deviation: MSD = (1/n) · Σ(x₀ − x̄)² Root mean square deviation: RMSD = √MSD
Average distance from median: MD_med = (1/n) · Σ|x₀ − median|.

Robust measure

MAD is far less sensitive to outliers than standard deviation.

About mean or median

Deviation is shown from both the arithmetic mean and the median.

Full context

Count, mean, median, variance and standard deviation all shown.

Instant results

Every keystroke recalculates all measures in real time.

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