GMAT Exam > GMAT Questions > Set A: {-11, 0, 0, 11}Set B: {2, 4, 6, 8}Set ...
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Set A: {-11, 0, 0, 11}
Set B: {2, 4, 6, 8}
Set C: {50, 51, 52, 53}
Set D: {12, 12, 12, 12}
Which of the following sets have a maximum & minimum standard deviation respectively?
- a)Max: A, Min: B
- b)Max: B, Min: C
- c)Max: C, Min: D
- d)Max: B, Min: D
- e)Max: A, Min: D
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
Set A: {-11, 0, 0, 11}Set B: {2, 4, 6, 8}Set C: {50, 51, 52, 53}Set D:...
To find the maximum and minimum standard deviation among the given sets, we need to calculate the standard deviation of each set and compare them.
Calculating Standard Deviation:
1. Set A: {-11, 0, 0, 11}
Mean = (-11+0+0+11)/4 = 0
Variance = [(0-(-11))^2 + (0-0)^2 + (0-0)^2 + (11-0)^2]/4
= [(121+0+0+121)]/4
= 60.5
Standard Deviation = √60.5 ≈ 7.78
2. Set B: {2, 4, 6, 8}
Mean = (2+4+6+8)/4 = 5
Variance = [(2-5)^2 + (4-5)^2 + (6-5)^2 + (8-5)^2]/4
= [9+1+1+9]/4
= 5
Standard Deviation = √5 ≈ 2.24
3. Set C: {50, 51, 52, 53}
Mean = (50+51+52+53)/4 = 51.5
Variance = [(50-51.5)^2 + (51-51.5)^2 + (52-51.5)^2 + (53-51.5)^2]/4
= [2.25+0.25+0.25+2.25]/4
= 1
Standard Deviation = √1 = 1
4. Set D: {12, 12, 12, 12}
Mean = (12+12+12+12)/4 = 12
Variance = [(12-12)^2 + (12-12)^2 + (12-12)^2 + (12-12)^2]/4
= 0
Standard Deviation = √0 = 0
Comparing Standard Deviations:
- The maximum standard deviation is in Set A, which is approximately 7.78.
- The minimum standard deviation is in Set D, which is 0.
Therefore, the correct answer is option E, which states that Set A has the maximum standard deviation and Set D has the minimum standard deviation.
Calculating Standard Deviation:
1. Set A: {-11, 0, 0, 11}
Mean = (-11+0+0+11)/4 = 0
Variance = [(0-(-11))^2 + (0-0)^2 + (0-0)^2 + (11-0)^2]/4
= [(121+0+0+121)]/4
= 60.5
Standard Deviation = √60.5 ≈ 7.78
2. Set B: {2, 4, 6, 8}
Mean = (2+4+6+8)/4 = 5
Variance = [(2-5)^2 + (4-5)^2 + (6-5)^2 + (8-5)^2]/4
= [9+1+1+9]/4
= 5
Standard Deviation = √5 ≈ 2.24
3. Set C: {50, 51, 52, 53}
Mean = (50+51+52+53)/4 = 51.5
Variance = [(50-51.5)^2 + (51-51.5)^2 + (52-51.5)^2 + (53-51.5)^2]/4
= [2.25+0.25+0.25+2.25]/4
= 1
Standard Deviation = √1 = 1
4. Set D: {12, 12, 12, 12}
Mean = (12+12+12+12)/4 = 12
Variance = [(12-12)^2 + (12-12)^2 + (12-12)^2 + (12-12)^2]/4
= 0
Standard Deviation = √0 = 0
Comparing Standard Deviations:
- The maximum standard deviation is in Set A, which is approximately 7.78.
- The minimum standard deviation is in Set D, which is 0.
Therefore, the correct answer is option E, which states that Set A has the maximum standard deviation and Set D has the minimum standard deviation.
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Set A: {-11, 0, 0, 11}Set B: {2, 4, 6, 8}Set C: {50, 51, 52, 53}Set D: {12, 12, 12, 12}Which of the following sets have a maximum & minimum standard deviation respectively?a)Max: A, Min: Bb)Max: B, Min: Cc)Max: C, Min: Dd)Max: B, Min: De)Max: A, Min: DCorrect answer is option 'E'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Set A: {-11, 0, 0, 11}Set B: {2, 4, 6, 8}Set C: {50, 51, 52, 53}Set D: {12, 12, 12, 12}Which of the following sets have a maximum & minimum standard deviation respectively?a)Max: A, Min: Bb)Max: B, Min: Cc)Max: C, Min: Dd)Max: B, Min: De)Max: A, Min: DCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Set A: {-11, 0, 0, 11}Set B: {2, 4, 6, 8}Set C: {50, 51, 52, 53}Set D: {12, 12, 12, 12}Which of the following sets have a maximum & minimum standard deviation respectively?a)Max: A, Min: Bb)Max: B, Min: Cc)Max: C, Min: Dd)Max: B, Min: De)Max: A, Min: DCorrect answer is option 'E'. Can you explain this answer?.
Set A: {-11, 0, 0, 11}Set B: {2, 4, 6, 8}Set C: {50, 51, 52, 53}Set D: {12, 12, 12, 12}Which of the following sets have a maximum & minimum standard deviation respectively?a)Max: A, Min: Bb)Max: B, Min: Cc)Max: C, Min: Dd)Max: B, Min: De)Max: A, Min: DCorrect answer is option 'E'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Set A: {-11, 0, 0, 11}Set B: {2, 4, 6, 8}Set C: {50, 51, 52, 53}Set D: {12, 12, 12, 12}Which of the following sets have a maximum & minimum standard deviation respectively?a)Max: A, Min: Bb)Max: B, Min: Cc)Max: C, Min: Dd)Max: B, Min: De)Max: A, Min: DCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Set A: {-11, 0, 0, 11}Set B: {2, 4, 6, 8}Set C: {50, 51, 52, 53}Set D: {12, 12, 12, 12}Which of the following sets have a maximum & minimum standard deviation respectively?a)Max: A, Min: Bb)Max: B, Min: Cc)Max: C, Min: Dd)Max: B, Min: De)Max: A, Min: DCorrect answer is option 'E'. Can you explain this answer?.
Solutions for Set A: {-11, 0, 0, 11}Set B: {2, 4, 6, 8}Set C: {50, 51, 52, 53}Set D: {12, 12, 12, 12}Which of the following sets have a maximum & minimum standard deviation respectively?a)Max: A, Min: Bb)Max: B, Min: Cc)Max: C, Min: Dd)Max: B, Min: De)Max: A, Min: DCorrect answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Set A: {-11, 0, 0, 11}Set B: {2, 4, 6, 8}Set C: {50, 51, 52, 53}Set D: {12, 12, 12, 12}Which of the following sets have a maximum & minimum standard deviation respectively?a)Max: A, Min: Bb)Max: B, Min: Cc)Max: C, Min: Dd)Max: B, Min: De)Max: A, Min: DCorrect answer is option 'E'. Can you explain this answer?, a detailed solution for Set A: {-11, 0, 0, 11}Set B: {2, 4, 6, 8}Set C: {50, 51, 52, 53}Set D: {12, 12, 12, 12}Which of the following sets have a maximum & minimum standard deviation respectively?a)Max: A, Min: Bb)Max: B, Min: Cc)Max: C, Min: Dd)Max: B, Min: De)Max: A, Min: DCorrect answer is option 'E'. Can you explain this answer? has been provided alongside types of Set A: {-11, 0, 0, 11}Set B: {2, 4, 6, 8}Set C: {50, 51, 52, 53}Set D: {12, 12, 12, 12}Which of the following sets have a maximum & minimum standard deviation respectively?a)Max: A, Min: Bb)Max: B, Min: Cc)Max: C, Min: Dd)Max: B, Min: De)Max: A, Min: DCorrect answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
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