Question

The standard deviation of a data is 5. If each value is multiplied by 2, then what is the new variance is

Answer 1

Answer:

standard derivation of data is 5.

then we divide 5 to 2 time as given in question

10+10

then the varience is 20

that drawing was made by me that I send

Answer 2

The new Variance is 100.

• The standard deviation of the data is 5.
• The variance and standard deviation are related to each other as

Standard Deviation = $\sqrt{Variance}$

• Now each value is multiplied by 2.
• The new standard deviation becomes 2 times of the previous standard deviation.

• New Standard deviation = 2 ×old Standard deviation = 2 × 5 =10.

• Now the new variance will be square of the new standard deviation.

New variance = (Standard deviation)² = (10)² = 100.

• The new Variance is 100.