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If mean marks obtained by 100 students are estimated to be 80 later it was found that one value was read as 76 instead of 26 find the correct mean?
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If mean marks obtained by 100 students are estimated to be 80 later it...
Given information:
- Number of students (n) = 100
- Estimated mean marks (X) = 80
- One value was read incorrectly as 76 instead of the actual value of 26
Calculating the sum of the estimated marks:
To find the correct mean, we need to calculate the correct sum of the marks.
The sum of the estimated marks is given by the formula:
Sum = n * X
Substituting the given values:
Sum = 100 * 80
Sum = 8000
Calculating the corrected sum:
We know that one value was read incorrectly as 76 instead of 26. Let's calculate the corrected sum by subtracting 76 and adding 26.
Corrected Sum = Sum - 76 + 26
Corrected Sum = 8000 - 76 + 26
Corrected Sum = 7950
Calculating the correct mean:
The correct mean can be calculated by dividing the corrected sum by the number of students.
Correct Mean = Corrected Sum / n
Correct Mean = 7950 / 100
Correct Mean = 79.5
Explanation:
The estimated mean marks were initially calculated by assuming all the values were correct. However, it was later discovered that one value was read incorrectly as 76 instead of 26. To find the correct mean, we need to calculate the corrected sum of the marks.
We first calculate the sum of the estimated marks, which is obtained by multiplying the number of students (n) by the estimated mean marks (X).
Next, we calculate the corrected sum by subtracting the incorrect value (76) and adding the correct value (26) to the sum of the estimated marks.
Finally, we calculate the correct mean by dividing the corrected sum by the number of students (n).
Therefore, the correct mean marks obtained by the 100 students is 79.5.
- Number of students (n) = 100
- Estimated mean marks (X) = 80
- One value was read incorrectly as 76 instead of the actual value of 26
Calculating the sum of the estimated marks:
To find the correct mean, we need to calculate the correct sum of the marks.
The sum of the estimated marks is given by the formula:
Sum = n * X
Substituting the given values:
Sum = 100 * 80
Sum = 8000
Calculating the corrected sum:
We know that one value was read incorrectly as 76 instead of 26. Let's calculate the corrected sum by subtracting 76 and adding 26.
Corrected Sum = Sum - 76 + 26
Corrected Sum = 8000 - 76 + 26
Corrected Sum = 7950
Calculating the correct mean:
The correct mean can be calculated by dividing the corrected sum by the number of students.
Correct Mean = Corrected Sum / n
Correct Mean = 7950 / 100
Correct Mean = 79.5
Explanation:
The estimated mean marks were initially calculated by assuming all the values were correct. However, it was later discovered that one value was read incorrectly as 76 instead of 26. To find the correct mean, we need to calculate the corrected sum of the marks.
We first calculate the sum of the estimated marks, which is obtained by multiplying the number of students (n) by the estimated mean marks (X).
Next, we calculate the corrected sum by subtracting the incorrect value (76) and adding the correct value (26) to the sum of the estimated marks.
Finally, we calculate the correct mean by dividing the corrected sum by the number of students (n).
Therefore, the correct mean marks obtained by the 100 students is 79.5.
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If mean marks obtained by 100 students are estimated to be 80 later it was found that one value was read as 76 instead of 26 find the correct mean?
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If mean marks obtained by 100 students are estimated to be 80 later it was found that one value was read as 76 instead of 26 find the correct mean? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about If mean marks obtained by 100 students are estimated to be 80 later it was found that one value was read as 76 instead of 26 find the correct mean? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If mean marks obtained by 100 students are estimated to be 80 later it was found that one value was read as 76 instead of 26 find the correct mean?.
If mean marks obtained by 100 students are estimated to be 80 later it was found that one value was read as 76 instead of 26 find the correct mean? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about If mean marks obtained by 100 students are estimated to be 80 later it was found that one value was read as 76 instead of 26 find the correct mean? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If mean marks obtained by 100 students are estimated to be 80 later it was found that one value was read as 76 instead of 26 find the correct mean?.
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