The average of 50 numbers is 36. If two numbers, namely 63 and 65 are discarded, the average of the remaining numbers is (Correct to two decimal places):
- A34.83
- B32.50
- C33.75
- D36.50
Solution & Step-by-step Explanation
1. Find the initial total sum of the 50 numbers:
Sum
50
=50×36=1800
Calculate the sum after discarding 63 and 65:
Sum of discarded numbers=63+65=128
New Sum=1800−128=1672
Calculate the new average:
Since 2 numbers are discarded, the remaining count of numbers is 50−2=48.
New Average=
48
1672
Dividing by 8:
New Average=
6
209
≈34.8333...
Rounding to two decimal places, we get 34.83.
Sum
50
=50×36=1800
Calculate the sum after discarding 63 and 65:
Sum of discarded numbers=63+65=128
New Sum=1800−128=1672
Calculate the new average:
Since 2 numbers are discarded, the remaining count of numbers is 50−2=48.
New Average=
48
1672
Dividing by 8:
New Average=
6
209
≈34.8333...
Rounding to two decimal places, we get 34.83.