The S.D. of the observations 22,26,28,20,24,30 is

- a)3
- b)2.4
- c)3.42
- d)2

Correct answer is option 'C'. Can you explain this answer?

Pioneer Academy
Feb 17, 2022 |

μ = (22 + 26 + 28 + 20 + 24 + 30)/6

= 150/6

= 25

x(i) = (xi - μ)^{2}

x(22) = (22-25)^{2} = 9

x(26) = (26-25)^{2} = 1

x(28) = (28-25)^{2} = 9

x(20) = (20-25)^{2} = 25

x(24) = (24-25)^{2} = 1

x(30) = (30-25)^{2} = 25

(xi - μ)^{2} = 70

Standard deviation : [(xi - μ)^{2}]/N

= (70/6)^{½}

= 3.42

= 150/6

= 25

x(i) = (xi - μ)

x(22) = (22-25)

x(26) = (26-25)

x(28) = (28-25)

x(20) = (20-25)

x(24) = (24-25)

x(30) = (30-25)

(xi - μ)

Standard deviation : [(xi - μ)

= (70/6)

= 3.42

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