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.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 28.
We know that,
Average = Sum of observations/total number of observations
Now,
Sum of the weight of 49 students = 49 × 53 = 2597
Now a new student is admitted to the class, the total number of students = 49 + 1 = 50
New average = 53 - 0.5 = 52.5 kg
Sum of the weight of 50 students = 50 × 52.5 = 2625
Weight of the new student = 2625 - 2597 = 28 kg