Question
The variance of 20 observations is 5. If each observation is multiplied by 2, find the new variance of the resulting observations.
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Solution: given that n= 20
let the mean be
individual observation
variance be that is 5
now, as we know that,
now let the new observation is and no of observation is n
now,
so,
now,
now putting the given values,
so,
let the mean be
individual observation
variance be that is 5
now, as we know that,
now let the new observation is and no of observation is n
now,
so,
now,
now putting the given values,
so,
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Question Text | The variance of 20 observations is 5. If each observation is multiplied by 2, find the new variance of the resulting observations. |
Answer Type | Text solution:1 |
Upvotes | 150 |