Question

Suppose a population has a variance of 3. If we multiply every

score in the population by -4, what will be the new variance?
Choose the closest answer.
a) 48
b) 12
c) 3
d) 4

Answer 1

When every score in a population is multiplied by a constant, the variance of the population is multiplied by the square of that constant. In this case, when we multiply every score in the population by -4, the new variance will be 48.

Step-by-step explanation:

When you multiply every score in a population by a constant, the variance of the population is multiplied by the square of that constant. In this case, the constant is -4, so the new variance will be (3) * (-4)^2 = 48.