The average weight of 75 students in a class was calculated as 45 kg. Later it was found that the weight of one of the students was calculated as 42 kg. Where as his actual weight was 45kg. What is the actual average weight of the students in the class?
(1) 44.96 kg (2) 45.5 kg
(3) 45.04 kg (4) 46.02 kg
(5) None of these
Answers
Answer:
Step-by-step explanation:
Average weight=sum of weights/number of students
Therefore sum of weights=no. Of students × average weight=75×45=3375
45-42=3
NEW sum of weights=3375+3=3378
New average weight =3378/75=45.04
Answer is (3)45.04kg
Hope I helped u
The correct answer is option (3) 45.04 kg.
Given,
The average weight of 75 students in a class was calculated as 45 kg. Later it was found that the weight of one of the students was calculated as 42 kg. Whereas his actual weight was 45kg.
To Find,
The actual average weight of the students in the class
Solution,
Let us assume that the sum of the weight of the students in the class except for the student with the wrong weight is x.
So, the average is
(x+42)/75 = 45
x = 3375-42 = 3333
Now, the actual weight of a student was 45 kg
So, the new average is
Average = (x+45)/75
Average = (3333+45)/75 = 45.04 kg
Hence, the actual average weight is 45.04 kg.
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