# For two data sets, each of size 5, the variances are given to be 4 and 5 and the corresponding means are given to be 2 and 4, respectively. The variance of the combined data set is Option 1) Option 2) Option 3) Option 4)

As we learnt in

ARITHMETIC Mean -

The arithmetic mean is defined as the sum of items divided by the number of items.

-

and

Variance -

In case of discrete data

-

Given v1=4 and v2=5

and

Variance =

= 14.5-9=5.5=

Option 1)

This is incorrect option

Option 2)

This is correct option

Option 3)

This is incorrect option

Option 4)

This is incorrect option

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