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For a frequency distribution of marks in Mathematics for 100 students, the average was found to be 80. Later on it was discovered that. 4 8 was misread as 84. The correct mean is
  • a)
    80.36
  • b)
    79.36
  • c)
    79.64
  • d)
    80.64
Correct answer is option 'C'. Can you explain this answer?
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For a frequency distribution of marks in Mathematics for 100 students,...
Given:
- Frequency distribution of marks in Mathematics for 100 students
- Average (mean) = 80

Incorrect Reading:
- The value 48 was misread as 84

To find:
- The correct mean after correcting the misread value

Solution:

Step 1: Finding the total sum of all marks
- The total number of students = 100
- Let's assume the misread value 84 actually represents 48.
- So, the corrected sum of all marks = (Sum of all marks - 84 + 48)

Step 2: Calculating the correct mean
- The corrected mean = (Corrected sum of all marks) / (Total number of students)

Detailed Calculation:

Step 1:
- The sum of all marks = Total number of students * Average
- Sum of all marks = 100 * 80 = 8000

- Corrected sum of all marks = (Sum of all marks - 84 + 48)
- Corrected sum of all marks = 8000 - 84 + 48 = 7964

Step 2:
- Corrected mean = (Corrected sum of all marks) / (Total number of students)
- Corrected mean = 7964 / 100 = 79.64

Conclusion:
- The correct mean, after correcting the misread value, is 79.64.
- Therefore, the correct answer is option 'C' (79.64).
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For a frequency distribution of marks in Mathematics for 100 students, the average was found to be 80. Later on it was discovered that. 4 8 was misread as 84. The correct mean isa)80.36b)79.36c)79.64d)80.64Correct answer is option 'C'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about For a frequency distribution of marks in Mathematics for 100 students, the average was found to be 80. Later on it was discovered that. 4 8 was misread as 84. The correct mean isa)80.36b)79.36c)79.64d)80.64Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a frequency distribution of marks in Mathematics for 100 students, the average was found to be 80. Later on it was discovered that. 4 8 was misread as 84. The correct mean isa)80.36b)79.36c)79.64d)80.64Correct answer is option 'C'. Can you explain this answer?.
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