Find the SD of the following numbers:
27, 60, 40, 30, 32.
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Given : 27, 60, 40, 30, 32.
To Find : SD
Solution:
Mean = ∑ x /n
Mean = (27 + 60 + 40 + 30 + 32 )/5
= 189/5
= 37.8
Standard Deviation = √∑ (x - mean)²/n
n = 5
∑ (x - mean)²
= (27 - 37.8)² + (60 - 37.8)² + (40 - 37.8)² + (30 -37.8)² + (32 - 37.8)²
= 116.64 + 492.84 + 4.84 + 60.84 + 33.64
= 708.8
Standard Deviation = ∑ ((x - mean)² /n)
= √708.8/5
= √141.76
= 11.9
Standard Deviation = 11.9
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