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Q.No-6-10 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?
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 'A'. Can you explain this answer?
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Q.No-6-10 Carry Two Marks EachQ.Students taking an exam are divided in...
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Q.No-6-10 Carry Two Marks EachQ.Students taking an exam are divided in...
Explanation:
To determine the highest probability of being TRUE, let's analyze each option:
a) No student in group Q scored less marks than any student in group P.
To evaluate this statement, we need to compare the lowest score in group Q with the highest score in group P. Since the mean of group P is higher than the mean of group Q, it is highly likely that the highest score in group P will be greater than the lowest score in group Q. Therefore, this statement has the highest probability of being TRUE.
b) No student in group P scored less marks than any student in group Q.
To evaluate this statement, we need to compare the lowest score in group P with the highest score in group Q. Since the mean of group P is higher than the mean of group Q, it is highly likely that the highest score in group P will be greater than the lowest score in group Q. Therefore, this statement is less likely to be TRUE compared to option a).
c) Most students of group Q scored marks in a narrower range than students in group P.
To evaluate this statement, we need to compare the standard deviations of both groups. Since the standard deviation of group Q is much smaller than the standard deviation of group P, it is highly likely that the range of scores in group Q will be narrower compared to group P. Therefore, this statement is likely to be TRUE.
d) The median of the marks of group P is 100.
The median is the middle value in a set of data when arranged in ascending order. The given information does not provide any specific details about the distribution of scores within each group, so we cannot determine the exact value of the median for group P. Therefore, this statement cannot be evaluated based on the given information.
In summary, option a) has the highest probability of being TRUE, followed by option c). Option b) cannot be evaluated based on the given information, and option d) cannot be determined.
To determine the highest probability of being TRUE, let's analyze each option:
a) No student in group Q scored less marks than any student in group P.
To evaluate this statement, we need to compare the lowest score in group Q with the highest score in group P. Since the mean of group P is higher than the mean of group Q, it is highly likely that the highest score in group P will be greater than the lowest score in group Q. Therefore, this statement has the highest probability of being TRUE.
b) No student in group P scored less marks than any student in group Q.
To evaluate this statement, we need to compare the lowest score in group P with the highest score in group Q. Since the mean of group P is higher than the mean of group Q, it is highly likely that the highest score in group P will be greater than the lowest score in group Q. Therefore, this statement is less likely to be TRUE compared to option a).
c) Most students of group Q scored marks in a narrower range than students in group P.
To evaluate this statement, we need to compare the standard deviations of both groups. Since the standard deviation of group Q is much smaller than the standard deviation of group P, it is highly likely that the range of scores in group Q will be narrower compared to group P. Therefore, this statement is likely to be TRUE.
d) The median of the marks of group P is 100.
The median is the middle value in a set of data when arranged in ascending order. The given information does not provide any specific details about the distribution of scores within each group, so we cannot determine the exact value of the median for group P. Therefore, this statement cannot be evaluated based on the given information.
In summary, option a) has the highest probability of being TRUE, followed by option c). Option b) cannot be evaluated based on the given information, and option d) cannot be determined.
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Q.No-6-10 Carry Two Marks EachQ.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 'A'. Can you explain this answer?
Question Description
Q.No-6-10 Carry Two Marks EachQ.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 'A'. 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.No-6-10 Carry Two Marks EachQ.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 'A'. 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.No-6-10 Carry Two Marks EachQ.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 'A'. Can you explain this answer?.
Q.No-6-10 Carry Two Marks EachQ.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 'A'. 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.No-6-10 Carry Two Marks EachQ.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 'A'. 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.No-6-10 Carry Two Marks EachQ.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 'A'. Can you explain this answer?.
Solutions for Q.No-6-10 Carry Two Marks EachQ.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 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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Here you can find the meaning of Q.No-6-10 Carry Two Marks EachQ.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 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Q.No-6-10 Carry Two Marks EachQ.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 'A'. Can you explain this answer?, a detailed solution for Q.No-6-10 Carry Two Marks EachQ.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 'A'. Can you explain this answer? has been provided alongside types of Q.No-6-10 Carry Two Marks EachQ.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 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Q.No-6-10 Carry Two Marks EachQ.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 'A'. Can you explain this answer? tests, examples and also practice GATE tests.
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