Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers have an equal mean. If the two sets of numbers are combined, find the variance.

Given:

To find:

The variance. of combined set.

Solution:

Formula for variance is

     ...(i)

Using (i), we get

Similarly,

Now, after combining both sets, we get

Therefore, the variance of combined set is 15.4.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

step-by-step explanation: