The average of 28 numbers is 52.5. The average of the first 12 numbers is 48.8 and that of the next 13 numbers is 45.8. If the other 3 numbers are excluded, then what is the average of the remaining numbers?
- A46.42
- B47.24
- C48.64
- D51.24
Solution & Step-by-step Explanation
Total sum of 28 numbers = 28×52.5=1470
Sum of first 12 numbers = 12×48.8=585.6
Sum of next 13 numbers = 13×45.8=595.4
Sum of these 25 numbers = 585.6+595.4=1181
The remaining numbers when 3 numbers are excluded are these exact 25 numbers.
Therefore, the average of these remaining 25 numbers is:
Average=
25
1181
=47.24
Sum of first 12 numbers = 12×48.8=585.6
Sum of next 13 numbers = 13×45.8=595.4
Sum of these 25 numbers = 585.6+595.4=1181
The remaining numbers when 3 numbers are excluded are these exact 25 numbers.
Therefore, the average of these remaining 25 numbers is:
Average=
25
1181
=47.24