The average marks of 100 students were found to be 40. Later on it was discovered that a score of 53 was misread as 83. Find the correct average corresponding to the correct score.

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39.3

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38.7

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None of these

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Solution

The correct option is E None of these
Average is calculated as $\frac{total marks}{number of students}$ . So a change of 30 in overall marks will reduce the average by $\frac{30}{100} = 0.3$
So, the actual average will be 40-0.3 = 39.7

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Similar questions

Q. The mean marks of

100

students were found to be

40

.Later on it was discovered that a score of

53

was misread as

83

.The corrected corresponding to the corrected score is ;

Q. The mean marks of

100

students were found to be

40

. Later on it was discovered that a score of

53

was misread as

83

. The corrected mean corresponding to the corrected score is

The mean of marks scored by $100$ students was found to be $40.$ Later on it was discovered that a score of $53$ was misread as $83.$ Find the correct mean.

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The average marks of 100 students were found to be 40. Later on it was discovered that a score of 53 was misread as 83. Find the correct average corresponding to the correct score.

The correct option is E None of theseAverage is calculated as total marksnumber of students. So a change of 30 in overall marks will reduce the average by 30100=0.3 So, the actual average will be 40-0.3 = 39.7

The correct option is E None of these
Average is calculated as $\frac{total marks}{number of students}$ . So a change of 30 in overall marks will reduce the average by $\frac{30}{100} = 0.3$
So, the actual average will be 40-0.3 = 39.7