The average of twelve numbers is 25. If each number is increased by 6, then the new average will be:
- A31
- B19
- C25
- D20
Solution & Step-by-step Explanation
A basic property of averages states that if a constant value k is added to every single data value in a set, the arithmetic mean of the dataset also increases exactly by that constant value k.
Given:
Old average =25
Value added to each number (k) =6
Therefore, the new average is:
New Average=Old Average+6
New Average=25+6=31
Given:
Old average =25
Value added to each number (k) =6
Therefore, the new average is:
New Average=Old Average+6
New Average=25+6=31