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Q. 6 – Q. 10 carry two marks each.
Q.
Students taking an exam are divided into two groups, P and Q such that each group has the same
number of students. The performance of each of the students in a test was evaluated out of 200
marks. It was observed that the mean of group P was 105, while that of group Q was 85. The
standard deviation of group P was 25, while that of group Q was 5. Assuming that the marks were
distributed on a normal distribution, which of the following statements will have the highest
probability of being TRUE?
  • a)
    No student in group Q scored less marks than any student in group P.
  • b)
    No student in group P scored less marks than any student in group Q.
  • c)
    Most students of group Q scored marks in a narrower range than students in group P.
  • d)
    The median of the marks of group P is 100.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Q. 6 – Q. 10 carry two marks each.Q.Students taking an exam are ...
Explanation:

Mean and standard deviation:
- The mean of group P is 105 with a standard deviation of 25.
- The mean of group Q is 85 with a standard deviation of 5.

Probability of statements:
- Statement a: This statement is not necessarily true as there could be some students in group Q who scored higher than some students in group P.
- Statement b: This statement is not necessarily true as some students in group P could have scored less than some students in group Q.
- Statement c: This statement has the highest probability of being true because the standard deviation of group Q is much smaller than that of group P. This means that most students in group Q scored their marks in a narrower range compared to group P.
- Statement d: The median of the marks of group P may not necessarily be 100 as the distribution of marks can vary.
Therefore, the statement with the highest probability of being true is option 'c': Most students of group Q scored marks in a narrower range than students in group P.
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Q. 6 – Q. 10 carry two marks each.Q.Students taking an exam are ...
Because the deviation is only 5
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Q. 6 – Q. 10 carry two marks each.Q.Students taking an exam are divided into two groups, P and Q such that each group has the samenumber of students. The performance of each of the students in a test was evaluated out of 200marks. It was observed that the mean of group P was 105, while that of group Q was 85. Thestandard deviation of group P was 25, while that of group Q was 5. Assuming that the marks weredistributed on a normal distribution, which of the following statements will have the highestprobability of being TRUE?a)No student in group Q scored less marks than any student in group P.b)No student in group P scored less marks than any student in group Q.c)Most students of group Q scored marks in a narrower range than students in group P.d)The median of the marks of group P is 100.Correct answer is option 'C'. Can you explain this answer?
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Q. 6 – Q. 10 carry two marks each.Q.Students taking an exam are divided into two groups, P and Q such that each group has the samenumber of students. The performance of each of the students in a test was evaluated out of 200marks. It was observed that the mean of group P was 105, while that of group Q was 85. Thestandard deviation of group P was 25, while that of group Q was 5. Assuming that the marks weredistributed on a normal distribution, which of the following statements will have the highestprobability of being TRUE?a)No student in group Q scored less marks than any student in group P.b)No student in group P scored less marks than any student in group Q.c)Most students of group Q scored marks in a narrower range than students in group P.d)The median of the marks of group P is 100.Correct answer is option 'C'. 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 Q. 6 – Q. 10 carry two marks each.Q.Students taking an exam are divided into two groups, P and Q such that each group has the samenumber of students. The performance of each of the students in a test was evaluated out of 200marks. It was observed that the mean of group P was 105, while that of group Q was 85. Thestandard deviation of group P was 25, while that of group Q was 5. Assuming that the marks weredistributed on a normal distribution, which of the following statements will have the highestprobability of being TRUE?a)No student in group Q scored less marks than any student in group P.b)No student in group P scored less marks than any student in group Q.c)Most students of group Q scored marks in a narrower range than students in group P.d)The median of the marks of group P is 100.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q. 6 – Q. 10 carry two marks each.Q.Students taking an exam are divided into two groups, P and Q such that each group has the samenumber of students. The performance of each of the students in a test was evaluated out of 200marks. It was observed that the mean of group P was 105, while that of group Q was 85. Thestandard deviation of group P was 25, while that of group Q was 5. Assuming that the marks weredistributed on a normal distribution, which of the following statements will have the highestprobability of being TRUE?a)No student in group Q scored less marks than any student in group P.b)No student in group P scored less marks than any student in group Q.c)Most students of group Q scored marks in a narrower range than students in group P.d)The median of the marks of group P is 100.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Q. 6 – Q. 10 carry two marks each.Q.Students taking an exam are divided into two groups, P and Q such that each group has the samenumber of students. The performance of each of the students in a test was evaluated out of 200marks. It was observed that the mean of group P was 105, while that of group Q was 85. Thestandard deviation of group P was 25, while that of group Q was 5. Assuming that the marks weredistributed on a normal distribution, which of the following statements will have the highestprobability of being TRUE?a)No student in group Q scored less marks than any student in group P.b)No student in group P scored less marks than any student in group Q.c)Most students of group Q scored marks in a narrower range than students in group P.d)The median of the marks of group P is 100.Correct answer is option 'C'. 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 Q. 6 – Q. 10 carry two marks each.Q.Students taking an exam are divided into two groups, P and Q such that each group has the samenumber of students. The performance of each of the students in a test was evaluated out of 200marks. It was observed that the mean of group P was 105, while that of group Q was 85. Thestandard deviation of group P was 25, while that of group Q was 5. Assuming that the marks weredistributed on a normal distribution, which of the following statements will have the highestprobability of being TRUE?a)No student in group Q scored less marks than any student in group P.b)No student in group P scored less marks than any student in group Q.c)Most students of group Q scored marks in a narrower range than students in group P.d)The median of the marks of group P is 100.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Q. 6 – Q. 10 carry two marks each.Q.Students taking an exam are divided into two groups, P and Q such that each group has the samenumber of students. The performance of each of the students in a test was evaluated out of 200marks. It was observed that the mean of group P was 105, while that of group Q was 85. Thestandard deviation of group P was 25, while that of group Q was 5. Assuming that the marks weredistributed on a normal distribution, which of the following statements will have the highestprobability of being TRUE?a)No student in group Q scored less marks than any student in group P.b)No student in group P scored less marks than any student in group Q.c)Most students of group Q scored marks in a narrower range than students in group P.d)The median of the marks of group P is 100.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Q. 6 – Q. 10 carry two marks each.Q.Students taking an exam are divided into two groups, P and Q such that each group has the samenumber of students. The performance of each of the students in a test was evaluated out of 200marks. It was observed that the mean of group P was 105, while that of group Q was 85. Thestandard deviation of group P was 25, while that of group Q was 5. Assuming that the marks weredistributed on a normal distribution, which of the following statements will have the highestprobability of being TRUE?a)No student in group Q scored less marks than any student in group P.b)No student in group P scored less marks than any student in group Q.c)Most students of group Q scored marks in a narrower range than students in group P.d)The median of the marks of group P is 100.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Q. 6 – Q. 10 carry two marks each.Q.Students taking an exam are divided into two groups, P and Q such that each group has the samenumber of students. The performance of each of the students in a test was evaluated out of 200marks. It was observed that the mean of group P was 105, while that of group Q was 85. Thestandard deviation of group P was 25, while that of group Q was 5. Assuming that the marks weredistributed on a normal distribution, which of the following statements will have the highestprobability of being TRUE?a)No student in group Q scored less marks than any student in group P.b)No student in group P scored less marks than any student in group Q.c)Most students of group Q scored marks in a narrower range than students in group P.d)The median of the marks of group P is 100.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Q. 6 – Q. 10 carry two marks each.Q.Students taking an exam are divided into two groups, P and Q such that each group has the samenumber of students. The performance of each of the students in a test was evaluated out of 200marks. It was observed that the mean of group P was 105, while that of group Q was 85. Thestandard deviation of group P was 25, while that of group Q was 5. Assuming that the marks weredistributed on a normal distribution, which of the following statements will have the highestprobability of being TRUE?a)No student in group Q scored less marks than any student in group P.b)No student in group P scored less marks than any student in group Q.c)Most students of group Q scored marks in a narrower range than students in group P.d)The median of the marks of group P is 100.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.
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