Question

In a set of observations the variance is 50. All the observations are increased by 100%. The variance of the increased observations will become:

Answer 1

Answer:All the observations are increased by 100%. The variance of the increased observations will become: 50.

Step-by-step explanation:

Answer 2

Answer:

The new variance of all the observations increased by 100% will be 200

Step-by-step explanation:

As per the question we have given that

Variance ($\sigma$) of all observations = 50

All the observation is increased by 100%

The new variance of all observations can be given as

$\[\begin{gathered} {\sigma ^'} = \sigma \times {(1 + {\text{increased observation)}}^2} \hfill \\ {\sigma ^'} = 50 \times {\left( {1 + \frac{{100}}{{100}}} \right)^2} \hfill \\ {\sigma ^'} = 50 \times {2^2} \hfill \\ {\sigma ^'} = 200 \hfill \\ \end{gathered} \]$

Therefore, the new variance of the increased observations will be 200