If the variance of the data $2,4,5,6,8,17$ is 23.33 , then the variance of $4,8,10,12,16,34$ will be

If the variance of the data $2,4,5,6,8,17$ is 23.33 , then the variance of $4,8,10,12,16,34$ will be
  1. 93.32
  2. 25.33
  3. 23.33
  4. 48.66

Solution

We find that each element of new data is 2 times of each element in old data. Variance of old data $=23.33$ $\therefore$ variance of new data $=(23.33)(2)^2=93.32$

Asked in: MHT CET 2021 (22 Sep Shift 1)

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