Question

Varience of 6 observation is 4. If each observation is multiplied by 3, find the new varience

Answer 1

Answer:

given

variance= 4

then s.d=√4

s.d=2

if each observation is multiplied by 3

s.d is also multiplied by 3

new s.d = 6

variance=6^2

variance=36

Answer 2

Given in the question that the variance of 6 observation is 4 and we have to find the variance when all the observation are multiplied by 3.

Initial variance = σ² = 4

Initial standard deviation = σ = 2

When all the observation are multiplied by 3 , the new standard deviation = σ' = 2×3 = 6

New variance = σ'² = (6)² = 36

The value of the new variance is equal to 36.