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The average marks of 100 students are given to be 40. It was found later that marks of one student were 53 which were misread as 83. The corrected mean marks are
- a)39
- b)39.7
- c)40
- d)40.3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The average marks of 100 students are given to be 40. It was found lat...
Given, average marks of 100 students = 40.
So, total marks of 100 students = 40 × 100 = 4000.
But in this total the error is 83 – 53 = 30, more than the actual total.
So, Actual total = 4000 – 30 = 3970.
So the correct Mean = 3970/100 = 39.70.
Most Upvoted Answer
The average marks of 100 students are given to be 40. It was found lat...
Given:
- Average marks of 100 students = 40
To Find:
- Corrected mean marks
Approach:
We can solve this problem using the concept of the mean. The mean (average) is calculated by summing up all the values and dividing it by the total number of values.
Solution:
Let's assume the sum of the marks of 100 students is S. Therefore, the sum of the marks of the 100 students can be calculated using the formula:
S = Average × Number of students
= 40 × 100
= 4000
Now, let's find the sum of the marks after correcting the misread mark:
New sum = Previous sum - Misread mark + Corrected mark
= 4000 - 83 + 53
= 3970
Since there are still 100 students, we can find the corrected mean marks by dividing the new sum by the total number of students:
Corrected mean marks = New sum / Number of students
= 3970 / 100
= 39.7
Therefore, the corrected mean marks of the 100 students is 39.7, which corresponds to option B.
- Average marks of 100 students = 40
To Find:
- Corrected mean marks
Approach:
We can solve this problem using the concept of the mean. The mean (average) is calculated by summing up all the values and dividing it by the total number of values.
Solution:
Let's assume the sum of the marks of 100 students is S. Therefore, the sum of the marks of the 100 students can be calculated using the formula:
S = Average × Number of students
= 40 × 100
= 4000
Now, let's find the sum of the marks after correcting the misread mark:
New sum = Previous sum - Misread mark + Corrected mark
= 4000 - 83 + 53
= 3970
Since there are still 100 students, we can find the corrected mean marks by dividing the new sum by the total number of students:
Corrected mean marks = New sum / Number of students
= 3970 / 100
= 39.7
Therefore, the corrected mean marks of the 100 students is 39.7, which corresponds to option B.
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Community Answer
The average marks of 100 students are given to be 40. It was found lat...
(100×40)-83+53=3970
new average=3970÷100
new average=3970÷100
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