If the variance of the data 12 , 14 , 18 , 19 , 21 , 36 is λ , then the value of 3 λ is equal to

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Question: Answered & Verified by Expert

If the variance of the data

12, 14, 18, 19, 21, 36

is

λ

, then the value of

3 λ

is equal to

MathematicsStatisticsJEE Main

Solution:

2771 Upvotes Verified Answer

The correct answer is: 181

$\bar{x} = \frac{120}{6} = 20$
The square of deviations about mean are $64,36,4, 1,1, 256$
Variance, $σ^{2} = \frac{362}{6} = \frac{181}{3} = λ$

Hence, $3 λ = 181$

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