the average marks obtained by a class of 70 students was found to be 65. later on it was detected that the marks of 1 students who was wrongly recorded as 85 instead of 58 .find the correct mean.
Answers
average marks = total marks/no. of students
65=total marks/70
total marks=4550
He record 85 marks
without his marks total marks are
4550-85=4465
now add correct marks and divide it by 70
4565+58=4623
4623/70 is the correct mean
Answer:
The correct Average or Mean mark of the class is 64.6.
Explanation:
Given that:
Total number of students = 70;
Incorrect mean value = 65;
First of all, let's find the total marks obtained by all the students;
So,
Average or Mean marks =
(Total marks obtained by the student) ÷ (Number of students)
Substituting the values:
⇒65 = (Total marks obtained by the student) ÷ (70)
⇒ Total marks obtained by the student = 4550;
Now, according to the question:
The marks of one student were wrongly recorded as 85;
So, Removing the marks of that student, we get 4550 - 85 = 4465;
Now, adding the correct marks, that is 58;
⇒ 4465 + 58 = 4523;
Now,
The correct Average or Mean marks = (4523) ÷ 70.
The correct Average or Mean mark = 64.6
Therefore,
The correct Average or Mean mark = 64.6.
To learn more about the mean, visit:
https://brainly.in/question/1570408
To learn more about average, visit:
https://brainly.in/question/49179699
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