There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of section A is 40 kg and Average weight of B section is 35 kg. Find the Average Weight of the Whole class?
Answers
average = sumof all observations divided by total number of observations
therefore sum of weights students in class 'a' is 36×40 = 1440
similarrly weight of section 'b'
44×35=1540 therefore weight of total class is 1440+1540= 2980
total number of student in class=36+44=80
average weight of class= 2980/80
=37.25 kg
Answer:
Explanation:
So, there are 36 students in class A and 44 in class B.
Let's assume that there are 'n' students in class A
And, 'm' students in class B.
The average weight for class A is 40 kg. Thus, the sum of the weights of all the students is,
Avg. Weight × Total no. of students = 40 × 36.
The average weight for class B is 35 kg. Thus, the total weight for class B is,
35 × 44.
Now, average weight for the whole class is,
(Total weight of class) / (Total no. of students)
Total weight of class is - (40 × 36) + (35 × 44)
And, total no. of students = 44 + 56.
Thus, avg. weight = {(40×36) + (35×44)} / (44+36)
Thus, avg weight = 39.05 kg.
hopr this helps
:)