Question

If each item of a data is increased by $5$ times, then the Arithmetic mean ___________.

• A. Increases by $5$ times
• B. Remains same
• C. Decreases by $5$ times
• D. None

Answer 1

The correct option is A Increases by $5$ times

Arithmetic mean refers to the average amount in a given group of data. The arithmetic mean between a and b = (a+b)/2.

So if a is increased by 5 and b is increased by 5, then the

Arithmetic mean = {(a+5)+(b+5)}/2

= (a+b+10)/2

= (a+b)/2 + 10/2

= (a+b)/2 +5

Therefore, the arithmetic mean also increases by 5.