The average of 50 number is 36. If two numbers, namely 63 and 65 are discarded, the average of the remaining numbers is (Correct to two decimal places)
34.83
Average Calculation: Initial Sum
The initial average of 50 numbers is given as 36.
The sum of these 50 numbers can be calculated as:
Sum = Average × Number of items
Sum = $50 \times 36 = 1800$
Sum After Discarding Numbers
Two numbers, 63 and 65, are discarded. The sum of these two numbers is:
Sum of discarded numbers = $63 + 65 = 128$
The new sum after discarding these numbers is:
New Sum = Initial Sum - Sum of discarded numbers
New Sum = $1800 - 128 = 1672$
Average of Remaining Numbers
After discarding two numbers, the total count of numbers becomes:
New Count = Initial Count - Number of discarded items
New Count = $50 - 2 = 48$
The average of the remaining 48 numbers is calculated as:
New Average = New Sum / New Count
New Average = $\frac{1672}{48}$
New Average $\approx 34.8333...$
Rounding to two decimal places, the new average is 34.83.
Similar Questions
The average age of the Indian cricket team playing in the Capetown test match is 28 years. If the average age of 10 players except the Captain is 27.8 years, then the age of the Captain is:
The numbers of visitors every hour in a shop from 1 p.m. to 8 p.m. on Monday were recorded as 7, 10, 15, 22, 6, 4 and 13. The arithmetic mean of visitors is:
The average temperature on Friday, Saturday and Sunday was 26∘ and on Saturday, Sunday and Monday it was 24∘. If on Monday it was exactly 25∘. Then what was the temperature on Friday?
Important Questions from Average
The average mark of 13 papers is 80. The average marks of the first 7 papers are 84 and that of the last 7 papers is 70. Find the marks obtained in the 7th paper.
The average age of the Indian cricket team playing in the Capetown test match is 28 years. If the average age of 10 players except the Captain is 27.8 years, then the age of the Captain is:
The numbers of visitors every hour in a shop from 1 p.m. to 8 p.m. on Monday were recorded as 7, 10, 15, 22, 6, 4 and 13. The arithmetic mean of visitors is:
The average temperature on Friday, Saturday and Sunday was 26∘ and on Saturday, Sunday and Monday it was 24∘. If on Monday it was exactly 25∘. Then what was the temperature on Friday?
The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of 4 : 3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?
