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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