Out of 40 boys in a class average weight of 30 is 60 kg and the average weight of remaining is 56 kg then the average weight of whole class is.....
Answers
Average weight of 30 students = 60kg
Average weight of the remaining students(40-30=10) = 56kg
☞Therefore total weight
= 30*60kg + 10*56kg
= 1800kg + 560kg
= 2360kg
☞Therefore average weight of the class
= 2360kg / 40
= 59kg
Given,
Total number of boys in a class = 40
The average weight of 30 boys = 60 kg
The average of the weights of the remaining 10 boys = 56 kg
To find,
The average weight of the whole class.
Solution,
We can simply solve this mathematical problem using the following process:
Mathematically,
Average = (sum of all the observations)/(total number of observations)
Now, according to the question;
The average of the weights of 30 boys = 60 Kg
=> (sum of the weights of the 30 boys)/30 = 60 Kg
=> sum of the weights of the 30 boys = 60 Kg × 30 = 1800 Kg
And,
The average of the weights of the remaining 10 boys = 56 Kg
=> (sum of the weights of the remaining 10 boys)/10 = 56 Kg
=> sum of the weights of the remaining 10 boys = 56 Kg × 10 = 560 Kg
Now,
The average weight of the whole class
= The average weight of all the 40 boys in the class
= (sum of the weights of all the 40 boys in the class)/40
= {(sum of the weights of the 30 boys) + (sum of the weights of the remaining 10 boys)}/40
= {1800 + 560}/40
= 2360/40 Kg
= 59 Kg
Hence, the average weight of the whole class is 59 Kgs.