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Haryana Police Constable Model Paper 1

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Question : 50 of 100

Marks: +1, -0

Find the variance of 42, 24, 32, 64, 68?

312.4
300.8
306.6
308.2

Solution:

GIVEN:

Five numbers

42, 24, 32, 64, 68

CONCEPT:

Concept of variance

FORMULA USED:

Mean =

\frac{\text{Sum}}{\text{Total}}

Variance

(\sigma^2) = \sum \frac{\delta^2}{n}

CALCULATION:

Mean =

\frac{42+24+32+64+68}{5} = \frac{230}{5} = 46

\sum \delta^{2} = \lvert 42-46 \rvert^{2} + \lvert 24-46 \rvert^{2} + \lvert 32-46 \rvert^{2} + \lvert 64-46 \rvert^{2} + \lvert 68-46 \rvert^{2}

⇒

16 + 484 + 196 + 324 + 484 = 1504

Variance

(\sigma^2) = \sum \frac{\delta^2}{n}

\Rightarrow \frac{1504}{5} = 300.8

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