Question : The average weight of 49 students is 53 kg. When a new student is admitted to the class, the average decreases by 500 g. Find the weight of the new student.
Option 1: 48 kg
Option 2: 18 kg
Option 3: 28 kg
Option 4: 38 kg
Correct Answer: 28 kg
Solution :
Given,
The average weight of 49 students is 53 kg.
We know that Total = Average × Number of observations
⇒ Total weight of 49 students = 53 × 49
= 2597
Now, when a new student is admitted to the class, the average decreases by 500 g(0.5 kg).
⇒ New Average = 53 - 0.5
= 52.5
So, the Total weight of 50 students = 52.5 × 50
= 2625 kg
Now, Weight of new student = 2625 - 2597
= 28 Kg
Hence the correct answer is 28 kg.
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