Question

If a constant value 5 is added to each observation of a set, the variance of new set of
observations is​

Answer 1

Answer:

If 5 is added to each value, then what is the coefficient of variation for the bew set of values? If 5 is added to each value, mean = 5+5=10

Answer 2

Answer:

The variance of a new set is the same as the variance of an old set

Step-by-step explanation:

They have given that the constant value 5 is added to each observation of a set.

The variance, var(X) of a random variable X has the following property

Var(X+C) = Var(X) → (1)

Where C is constant

In the given question, the constant C is 5

Therefore from the property (1)

The variance of a new set is the same as the variance of an old set