GATE Exam  >  GATE Questions  >  Average marks in a test conducted in a class ... Start Learning for Free
Average marks in a test conducted in a class of 24 students gave the average score as 56. It was detected that while computing the average, marks of 3 students were taken as 46, 47 and 43 instead of 64, 74 and 34 respectively. Which of the following is the most appropriate description of the percentage by which the class average goes up now?
  • a)
    Less than 2%
  • b)
    more than 2% but less than 2.5%
  • c)
    more than 3.5% but less than 5%
  • d)
    more than 2.5% but less than 3.5%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Average marks in a test conducted in a class of 24 students gave the a...
The increase in total marks of the class is (64–46)+(74–47)+(34–43) = 36
The average goes up by 36/24 = 1.5 marks
Increase in %age terms = 1.5 x 100/56 = 2.67%.
So, option d is correct.
View all questions of this test
Most Upvoted Answer
Average marks in a test conducted in a class of 24 students gave the a...
Given:
- Total number of students in the class = 24
- Average score in the test = 56
- Incorrectly recorded marks of 3 students: 46, 47, and 43 instead of 64, 74, and 34 respectively

To Find:
The percentage by which the class average goes up after correcting the incorrectly recorded marks.

Solution:
Let's calculate the sum of the original marks and the incorrect marks to find the initial total marks.

Original total marks = Average score * Number of students = 56 * 24 = 1344

Sum of incorrect marks = 46 + 47 + 43 = 136

Initial total marks (including incorrect marks) = Original total marks + Sum of incorrect marks = 1344 + 136 = 1480

Now, let's calculate the sum of the correct marks by subtracting the incorrectly recorded marks and adding the correct marks.

Sum of correct marks = Initial total marks - Sum of incorrect marks + Sum of correct marks = 1480 - 136 + 64 + 74 + 34 = 1516

Finally, let's calculate the new average after correcting the marks.

New average = Sum of correct marks / Number of students = 1516 / 24 = 63.17

Percentage increase:
Percentage increase in average = ((New average - Old average) / Old average) * 100
= ((63.17 - 56) / 56) * 100
= (7.17 / 56) * 100
= 12.80%

Answer:
The class average goes up by more than 2.5% but less than 3.5% after correcting the incorrectly recorded marks. Therefore, option D is the correct answer.
Explore Courses for GATE exam

Similar GATE Doubts

Average marks in a test conducted in a class of 24 students gave the average score as 56. It was detected that while computing the average, marks of 3 students were taken as 46, 47 and 43 instead of 64, 74 and 34 respectively. Which of the following is the most appropriate description of the percentage by which the class average goes up now?a)Less than 2%b)more than 2% but less than 2.5%c)more than 3.5% but less than 5%d)more than 2.5% but less than 3.5%Correct answer is option 'D'. Can you explain this answer?
Question Description
Average marks in a test conducted in a class of 24 students gave the average score as 56. It was detected that while computing the average, marks of 3 students were taken as 46, 47 and 43 instead of 64, 74 and 34 respectively. Which of the following is the most appropriate description of the percentage by which the class average goes up now?a)Less than 2%b)more than 2% but less than 2.5%c)more than 3.5% but less than 5%d)more than 2.5% but less than 3.5%Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Average marks in a test conducted in a class of 24 students gave the average score as 56. It was detected that while computing the average, marks of 3 students were taken as 46, 47 and 43 instead of 64, 74 and 34 respectively. Which of the following is the most appropriate description of the percentage by which the class average goes up now?a)Less than 2%b)more than 2% but less than 2.5%c)more than 3.5% but less than 5%d)more than 2.5% but less than 3.5%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Average marks in a test conducted in a class of 24 students gave the average score as 56. It was detected that while computing the average, marks of 3 students were taken as 46, 47 and 43 instead of 64, 74 and 34 respectively. Which of the following is the most appropriate description of the percentage by which the class average goes up now?a)Less than 2%b)more than 2% but less than 2.5%c)more than 3.5% but less than 5%d)more than 2.5% but less than 3.5%Correct answer is option 'D'. Can you explain this answer?.
Solutions for Average marks in a test conducted in a class of 24 students gave the average score as 56. It was detected that while computing the average, marks of 3 students were taken as 46, 47 and 43 instead of 64, 74 and 34 respectively. Which of the following is the most appropriate description of the percentage by which the class average goes up now?a)Less than 2%b)more than 2% but less than 2.5%c)more than 3.5% but less than 5%d)more than 2.5% but less than 3.5%Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Average marks in a test conducted in a class of 24 students gave the average score as 56. It was detected that while computing the average, marks of 3 students were taken as 46, 47 and 43 instead of 64, 74 and 34 respectively. Which of the following is the most appropriate description of the percentage by which the class average goes up now?a)Less than 2%b)more than 2% but less than 2.5%c)more than 3.5% but less than 5%d)more than 2.5% but less than 3.5%Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Average marks in a test conducted in a class of 24 students gave the average score as 56. It was detected that while computing the average, marks of 3 students were taken as 46, 47 and 43 instead of 64, 74 and 34 respectively. Which of the following is the most appropriate description of the percentage by which the class average goes up now?a)Less than 2%b)more than 2% but less than 2.5%c)more than 3.5% but less than 5%d)more than 2.5% but less than 3.5%Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Average marks in a test conducted in a class of 24 students gave the average score as 56. It was detected that while computing the average, marks of 3 students were taken as 46, 47 and 43 instead of 64, 74 and 34 respectively. Which of the following is the most appropriate description of the percentage by which the class average goes up now?a)Less than 2%b)more than 2% but less than 2.5%c)more than 3.5% but less than 5%d)more than 2.5% but less than 3.5%Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Average marks in a test conducted in a class of 24 students gave the average score as 56. It was detected that while computing the average, marks of 3 students were taken as 46, 47 and 43 instead of 64, 74 and 34 respectively. Which of the following is the most appropriate description of the percentage by which the class average goes up now?a)Less than 2%b)more than 2% but less than 2.5%c)more than 3.5% but less than 5%d)more than 2.5% but less than 3.5%Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Average marks in a test conducted in a class of 24 students gave the average score as 56. It was detected that while computing the average, marks of 3 students were taken as 46, 47 and 43 instead of 64, 74 and 34 respectively. Which of the following is the most appropriate description of the percentage by which the class average goes up now?a)Less than 2%b)more than 2% but less than 2.5%c)more than 3.5% but less than 5%d)more than 2.5% but less than 3.5%Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.
Explore Courses for GATE exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev