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Set A consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set A by 50, set Y is derived by multiplying each term in set A by 1.5, and set Z is derived by dividing each term in set A by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation?
- a)X, Y, Z
- b)X, Z, Y
- c)Y, Z, X
- d)Y, X, Z
- e)Z, Y, X
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Set A consists of all even integers between 2 and 100, inclusive. Set ...
Set A - {2, 4, ..., 100};
Set X - {-48, -46, ..., 50};
Set Y - {3, 6, ..., 150};
Set Z - {-2/4, -4/4, ..., -100/4} = {-1/2, -1, -3/2, ..., -25}.
If we add or subtract a constant to each term in a set the SD will not change, so sets A and X will have the same SD.
If we increase or decrease each term in a set by the same percent (multiply by a constant) the SD will increase or decrease by the same percent, so set Y will have 1.5 times greater SD than set A and set Z will have 4 times less SD than set A (note SD can not be negative so SD of Z wil be SD of A divided by 4 not by -4).
So, the ranking of SD's in descending order is: Y, A=X, Z.
Set X - {-48, -46, ..., 50};
Set Y - {3, 6, ..., 150};
Set Z - {-2/4, -4/4, ..., -100/4} = {-1/2, -1, -3/2, ..., -25}.
If we add or subtract a constant to each term in a set the SD will not change, so sets A and X will have the same SD.
If we increase or decrease each term in a set by the same percent (multiply by a constant) the SD will increase or decrease by the same percent, so set Y will have 1.5 times greater SD than set A and set Z will have 4 times less SD than set A (note SD can not be negative so SD of Z wil be SD of A divided by 4 not by -4).
So, the ranking of SD's in descending order is: Y, A=X, Z.
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Community Answer
Set A consists of all even integers between 2 and 100, inclusive. Set ...
Ranking Sets by Standard Deviation:
Set X: Reduce each term in set A by 50
Set Y: Multiply each term in set A by 1.5
Set Z: Divide each term in set A by -4
Calculating Standard Deviation:
To determine the standard deviation of each set, we first need to find the new values for each set by applying the operations described above. Then, we calculate the standard deviation for each set.
Set X:
New values for set X will be obtained by reducing each term in set A by 50.
Standard deviation for set X will be calculated based on these new values.
Set Y:
New values for set Y will be obtained by multiplying each term in set A by 1.5.
Standard deviation for set Y will be calculated based on these new values.
Set Z:
New values for set Z will be obtained by dividing each term in set A by -4.
Standard deviation for set Z will be calculated based on these new values.
Ranking the Sets:
After calculating the standard deviation for each set, we compare the values to determine the ranking in descending order. The correct ranking is:
1. Set Y
2. Set X
3. Set Z
Therefore, the correct answer is option 'D' - Y, X, Z.
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Set A consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in setA by 50, set Y is derived by multiplying each term in set A by 1.5, and set Z is derived by dividing each termin set A by -4. Which of the following represents the ranking of the three sets in descending order of standarddeviation?a)X, Y, Zb)X, Z, Yc)Y, Z, Xd)Y, X, Ze)Z, Y, XCorrect answer is option 'D'. Can you explain this answer?
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Set A consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in setA by 50, set Y is derived by multiplying each term in set A by 1.5, and set Z is derived by dividing each termin set A by -4. Which of the following represents the ranking of the three sets in descending order of standarddeviation?a)X, Y, Zb)X, Z, Yc)Y, Z, Xd)Y, X, Ze)Z, Y, XCorrect answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Set A consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in setA by 50, set Y is derived by multiplying each term in set A by 1.5, and set Z is derived by dividing each termin set A by -4. Which of the following represents the ranking of the three sets in descending order of standarddeviation?a)X, Y, Zb)X, Z, Yc)Y, Z, Xd)Y, X, Ze)Z, Y, XCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Set A consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in setA by 50, set Y is derived by multiplying each term in set A by 1.5, and set Z is derived by dividing each termin set A by -4. Which of the following represents the ranking of the three sets in descending order of standarddeviation?a)X, Y, Zb)X, Z, Yc)Y, Z, Xd)Y, X, Ze)Z, Y, XCorrect answer is option 'D'. Can you explain this answer?.
Set A consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in setA by 50, set Y is derived by multiplying each term in set A by 1.5, and set Z is derived by dividing each termin set A by -4. Which of the following represents the ranking of the three sets in descending order of standarddeviation?a)X, Y, Zb)X, Z, Yc)Y, Z, Xd)Y, X, Ze)Z, Y, XCorrect answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Set A consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in setA by 50, set Y is derived by multiplying each term in set A by 1.5, and set Z is derived by dividing each termin set A by -4. Which of the following represents the ranking of the three sets in descending order of standarddeviation?a)X, Y, Zb)X, Z, Yc)Y, Z, Xd)Y, X, Ze)Z, Y, XCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Set A consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in setA by 50, set Y is derived by multiplying each term in set A by 1.5, and set Z is derived by dividing each termin set A by -4. Which of the following represents the ranking of the three sets in descending order of standarddeviation?a)X, Y, Zb)X, Z, Yc)Y, Z, Xd)Y, X, Ze)Z, Y, XCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Set A consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in setA by 50, set Y is derived by multiplying each term in set A by 1.5, and set Z is derived by dividing each termin set A by -4. Which of the following represents the ranking of the three sets in descending order of standarddeviation?a)X, Y, Zb)X, Z, Yc)Y, Z, Xd)Y, X, Ze)Z, Y, XCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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