Find the variance of the following data.

16, 18, 20, 22, 24, 6, 8, 10, 12, 14

From the given data we can form the following. The mean is calculated by step-deviation method taking 24 as assumed mean. The number of observations is n = 10.

xi	di = x - 14/2	xi - μ	(xi - μ)2
16	1	-8	64
18	2	-6	36
20	3	-4	16
22	4	-2	4
24	5	0	0
26	6	2	4
28	7	4	16
30	8	6	36
32	9	8	64
34	10	10	100
			1140

∴ Mean (μ) = A + (^Σd_i/_n) × h

Variance (σ²) = ¹/_nΣ(x_i - μ)² = ¹¹⁴⁰/₁₀ = 114

Standard deviation (σ) = √114 = 10.6