Question : While tabling marks scored in an examination by the students of a class, by mistake the marks scored by one student got recorded as 93 in place of 63, and thereby the average marks increased by 0.5. What was the number of students in the class?
Option 1: 60
Option 2: 20
Option 3: 15
Option 4: 30
Correct Answer: 60
Solution :
Let the number of students in the class as $n$.
The total increase in marks due to the mistake is 93 – 63 = 30 marks
This increase caused the average marks to increase by 0.5 marks.
Average = $\frac{\text{Sum of all the observations}}{{\text{Total number of observations}}}$
$⇒0.5=\frac{30}{n}$
$⇒n = \frac{30}{0.5} = 60$
Hence, the correct answer is 60.
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