Question

The variance of α, β and ϒ is 8, then variance of 4α, 4β and 4ϒ is ______.

Options

• 32

• `1/2`

• 2

• 128

Answer 1

The variance of α, β and ϒ is 8, then variance of 4α, 4β and 4ϒ is 128.

Explanation:

When each item of a data is multiplied by λ,

Variance is multiplied by λ².

Hence, new variance= 4² x 8 = 128