Question

The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is

Options

• 3

• 15

• 5

• 225

Answer 1

225

Explanation;

Hint:

σ = 3

If each is multiplied by 5

The new standard variation is also multiplied by 3

∴ The new S.D = 5 × 3 = 15

Variance = 15² = 225