Subject: Statistics

Mean of {10, 20, 30, 40, 50}

Compute the mean of an evenly spaced data set.

Answer mean = 30, median = 30, mode = no mode (all values unique), σ = 14.1421

Solution

Count & sum n = 5, Σx = 150
Mean x̄ = Σx / n = 150 / 5 = 30
Median middle value of the sorted data = 30
Mode no mode (all values unique)
Range max − min = 50 − 10 = 40
Population variance σ² = Σ(x − x̄)² / n = 200
Population std dev σ = √σ² = 14.1421
Sample variance s² = Σ(x − x̄)² / (n − 1) = 250
Sample std dev s = √s² = 15.8114

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