Let the Mean and Variance of five observations 
and 
, be 5 and 10 respectively. Then the Variance of the observations 
is
Text Solution
Verified by ExpertsB
First, find the values of 
and 
using the given conditions:
Mean Condition:
This implies:
Variance Condition:
Simplifying, we get:
Using 
, we have:
Substitute 
into the equation for 
:
Expand and simplify:
Simplify further:
Solve the quadratic equation:
Thus, 
and 
(since 
).
New Observations:
The transformed observations are:
Calculate the Variance of the New
Observations:
First, find the mean of the new data:
Calculate the variance:
Therefore, the variance of the transformed observations is 16.
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