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The standard deviation of the set {10, 11, 12, 9, 8} is
- A1.5
- B√2.5
- C2.5
- D2√2.5
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CCommunity
As per the given data,
Mean of (10, 11, 12, 9, 8) = (10 + 11 + 12 + 9 + 8)/5 = 10
Variance
= [(10 - 10)2 + (11 – 10)2 + (12 – 10)2 + (9 – 10)2 + (8 – 10)2]/(5 – 1)
= (0 + 1 + 4 + 1 + 4)/4
= 10/4
= 2.5
⇒ Standard deviation = √variance = √2.5
Mean of (10, 11, 12, 9, 8) = (10 + 11 + 12 + 9 + 8)/5 = 10
Variance
= [(10 - 10)2 + (11 – 10)2 + (12 – 10)2 + (9 – 10)2 + (8 – 10)2]/(5 – 1)
= (0 + 1 + 4 + 1 + 4)/4
= 10/4
= 2.5
⇒ Standard deviation = √variance = √2.5