Question 01
The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is
Given:
Average = 27
No. of data = 5
If one no. excluded then average = 25
Let the number to be excluded be x
Now, average = sum of all data/ no. of data
27 = sum/ 5
Sum = 27 x 5
According to given condition, 25 = (sum – x)/ 4
Sum – x = 25 x 4
27 x 5 – x = 25 x 4
135 – x = 100
x = 135 – 100
x = 35
Ans. Excluded number is 35.