Question

The mean of 6 numbers is 16. With the removal of a number, the mean of remaining number is 17. What is the removed number?

Answer 1

(Sum of the numbers) ÷ 6 = 16
=> Sum of the numbers = 16 × 6
=> Sum of the numbers = 96

After removal of one number,
(Sum of the numbers) ÷ 5 = 17
=> Sum of the numbers = 17 × 5
=> Sum of the numbers = 85

Hence, the number removed = 96 - 85 = 11

Answer 2

Answer:

Mean = Sum of numbers ÷ Total numbers

Explanation:

Mean = Sum of numbers / Total numbers

16= sum of numbers/6

16×6= sum of numbers

96 = sum of numbers

one number is removed now the mean is 17

total numbers = 5

applying the same formula

mean = sum of numbers / total numbers

17 = sum of numbers /5

17×5= Sum of numbers

85 = sum of 5 numbers

removed number = sum of 6 numbers - sum of 5 numbers

removed number = 96-85

removed number= 11.