The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers is 20. Find the excluded number.
Given,
Mean of 6 numbers = 23
Sum of numbers = 23 × 6 = 138
Mean of 5 numbers = 20 (Given)
Sum of 5 numbers = 20 × 5 = 100
So,
The excluded number = Sum of 6 numbers – Sum of 5 numbers = 138 – 100 = 38.