Question

The variance of 5 values is 16. If each value is doubled, find the standard deviation of the new value.

Answer 1

Answer:

The standard deviation of the new value = 8

Step-by-step explanation:

Variance of 5 values = 16

Therefore, standard deviation of the the 5 values

= $\sqrt{\text{Variance}}$

= $\sqrt{16}$

= 4

When in a given data, every value is multiplied or divided by by the same number, the standard deviation also gets multiplied or divided by the number

Therefore

The new standard deviation = 2 × 4 = 8