The average of 46 numbers is 50.5. The average of the first 25 numbers is 45 and that of the last 18 numbers is 56. The 28th number is 67. If the 26th and 27th numbers are excluded, then what is the average of the remaining numbers?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 50.
We know that,
Average = Sum of observations/Number of observations
According to the given question,
If the 26th and 27th terms are excluded, then remaining terms = 44
Average = [(25 × 45) + (18 × 56) + 67]/44
⇒ (1125 + 1008 + 67)/44
⇒ 2200/44 = 50
Hence,
The average of the remaining numbers is 50