Solve The average of 60 numbers is 50. The average of 45 numbers out of the 60 is 42. What is the average of the rest of the numbers? Previous Next ere to search 0 A e.
Answers
Given,
The average of 60 numbers = 50
The average of 45 numbers out of the 60 = 42
To find,
The average of the rest of the numbers.
Solution,
We can simply solve this mathematical problem using the following process:
Mathematically,
The average of a set of given data can be calculated as follows;
The average = (sum of all the observations)/(total number of observations)
{Statement-1}
According to the question;
The average of 60 numbers = 50
=> (sum of the 60 numbers)/(60 observations) = 50
=> (sum of the 60 numbers) = 50×60
=> (sum of the 60 numbers) = 3000 ----------------- {Equation-1}
And, the average of 45 numbers out of the 60 = 42
=> (sum of the 45 numbers)/(45 observations) = 42
=> (sum of the 45 numbers) = 42×45
=> (sum of the 45 numbers) = 1890 ------------------ {Equation-2}
Now,
The sum of the rest 15 numbers
= (sum of the 60 numbers) - (sum of the 45 numbers)
= 3000-1890
{From equations 1 & 2}
= 1110
So, the average of the rest 15 numbers
= (sum of the 15 numbers)/(15 observations)
{according to statement-1}
= 1110/15 = 74
Hence, the average of the rest 15 numbers is equal to 74.