The variance of 20 observations is 5 . If each observation is multiplied by 2 , then variance of resulting…

The variance of 20 observations is 5 . If each observation is multiplied by 2 , then variance of resulting observations is
  1. $5$
  2. $10$
  3. $4$
  4. $20$

Solution

When each term of a data is multiplied by $\lambda$, variance is multiplied by $\lambda^2$. $\therefore \quad$ New variance $=2^2 \times 5=20$

Asked in: MHT CET 2023 (14 May Shift 1)

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