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Set A consists of all prime numbers between 10 and 25; Set B consists of consecutive even integers, and set C consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of the following represents the ranking of these sets in an ascending order of the standard deviation?
- a)C, A, B
- b)A, B, C
- c)C, B, A
- d)B, C, A
- e)B, A, C
Correct answer is option 'E'. Can you explain this answer?
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Set A consists of all prime numbers between 10 and 25; Set B consists ...
Ascending Order of Standard Deviation of Sets A, B and C
To find the ranking of the sets in an ascending order of the standard deviation, we need to calculate the standard deviation of each set first.
Set A: All prime numbers between 10 and 25 are 11, 13, 17, 19, and 23.
- Mean = (11+13+17+19+23)/5 = 15.6
- Standard deviation = 4.032
Set B: Consecutive even integers starting from 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, and 22.
- Mean = (2+22)/2 = 12
- Standard deviation = 6.139
Set C: Consecutive multiples of 7 starting from 7 are 7, 14, 21.
- Mean = (7+14+21)/3 = 14
- Standard deviation = 5.163
Now, we can see that the ascending order of standard deviation is:
B, A, C
Therefore, the correct answer is option E - B, A, C.
To find the ranking of the sets in an ascending order of the standard deviation, we need to calculate the standard deviation of each set first.
Set A: All prime numbers between 10 and 25 are 11, 13, 17, 19, and 23.
- Mean = (11+13+17+19+23)/5 = 15.6
- Standard deviation = 4.032
Set B: Consecutive even integers starting from 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, and 22.
- Mean = (2+22)/2 = 12
- Standard deviation = 6.139
Set C: Consecutive multiples of 7 starting from 7 are 7, 14, 21.
- Mean = (7+14+21)/3 = 14
- Standard deviation = 5.163
Now, we can see that the ascending order of standard deviation is:
B, A, C
Therefore, the correct answer is option E - B, A, C.
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Set A consists of all prime numbers between 10 and 25; Set B consists ...
To determine the ranking of the sets in ascending order ofstandard deviation, let's analyze each set and calculate their standarddeviations.
Set A consists of prime numbers between 10 and 25: {11, 13,17, 19, 23}. The mean of this set is (11 + 13 + 17 + 19 + 23) / 5 = 83 / 5 ≈16.6. To calculate the standard deviation, we need to find the squareddifference of each element from the mean, sum them up, divide by the number ofterms, and take the square root of the result.
Squared difference from the mean: (11 - 16.6)^2 ≈ 29.16 (13- 16.6)^2 ≈ 13.96 (17 - 16.6)^2 ≈ 0.16 (19 - 16.6)^2 ≈ 5.76 (23 - 16.6)^2 ≈40.96
Sum of squared differences = 29.16 + 13.96 + 0.16 + 5.76 +40.96 ≈ 90
Standard deviation = sqrt(90 / 5) ≈ sqrt(18) ≈ 4.24
Set B consists of consecutive even integers: {10, 12, 14,16, 18}. The mean of this set is (10 + 12 + 14 + 16 + 18) / 5 = 70 / 5 = 14. Tocalculate the standard deviation:
Squared difference from the mean: (10 - 14)^2 = 16 (12 -14)^2 = 4 (14 - 14)^2 = 0 (16 - 14)^2 = 4 (18 - 14)^2 = 16
Sum of squared differences = 16 + 4 + 0 + 4 + 16 = 40
Standard deviation = sqrt(40 / 5) = sqrt(8) ≈ 2.83
Set C consists of consecutive multiples of 7: {14, 21, 28,35, 42}. The mean of this set is (14 + 21 + 28 + 35 + 42) / 5 = 140 / 5 = 28.To calculate the standard deviation:
Squared difference from the mean: (14 - 28)^2 = 196 (21 -28)^2 = 49 (28 - 28)^2 = 0 (35 - 28)^2 = 49 (42 - 28)^2 = 196
Sum of squared differences = 196 + 49 + 0 + 49 + 196 = 490
Standard deviation = sqrt(490 / 5) = sqrt(98) ≈ 9.90
Comparing the standard deviations, we can see that Set B hasthe lowest standard deviation (2.83), followed by Set A (4.24), and then Set C(9.90). Therefore, the correct ranking in ascending order of standard deviationis B, A, C, which corresponds to option 'E': B, A, C.
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Set A consists of all prime numbers between 10 and 25; Set B consists of consecutive even integers, and setC consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of thefollowing represents the ranking of these sets in an ascending order of the standard deviation?a)C, A, Bb)A, B, Cc)C, B, Ad)B, C, Ae)B, A, CCorrect answer is option 'E'. Can you explain this answer?
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Set A consists of all prime numbers between 10 and 25; Set B consists of consecutive even integers, and setC consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of thefollowing represents the ranking of these sets in an ascending order of the standard deviation?a)C, A, Bb)A, B, Cc)C, B, Ad)B, C, Ae)B, A, CCorrect answer is option 'E'. 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 prime numbers between 10 and 25; Set B consists of consecutive even integers, and setC consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of thefollowing represents the ranking of these sets in an ascending order of the standard deviation?a)C, A, Bb)A, B, Cc)C, B, Ad)B, C, Ae)B, A, CCorrect answer is option 'E'. 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 prime numbers between 10 and 25; Set B consists of consecutive even integers, and setC consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of thefollowing represents the ranking of these sets in an ascending order of the standard deviation?a)C, A, Bb)A, B, Cc)C, B, Ad)B, C, Ae)B, A, CCorrect answer is option 'E'. Can you explain this answer?.
Set A consists of all prime numbers between 10 and 25; Set B consists of consecutive even integers, and setC consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of thefollowing represents the ranking of these sets in an ascending order of the standard deviation?a)C, A, Bb)A, B, Cc)C, B, Ad)B, C, Ae)B, A, CCorrect answer is option 'E'. 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 prime numbers between 10 and 25; Set B consists of consecutive even integers, and setC consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of thefollowing represents the ranking of these sets in an ascending order of the standard deviation?a)C, A, Bb)A, B, Cc)C, B, Ad)B, C, Ae)B, A, CCorrect answer is option 'E'. 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 prime numbers between 10 and 25; Set B consists of consecutive even integers, and setC consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of thefollowing represents the ranking of these sets in an ascending order of the standard deviation?a)C, A, Bb)A, B, Cc)C, B, Ad)B, C, Ae)B, A, CCorrect answer is option 'E'. Can you explain this answer?.
Solutions for Set A consists of all prime numbers between 10 and 25; Set B consists of consecutive even integers, and setC consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of thefollowing represents the ranking of these sets in an ascending order of the standard deviation?a)C, A, Bb)A, B, Cc)C, B, Ad)B, C, Ae)B, A, CCorrect 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 consists of all prime numbers between 10 and 25; Set B consists of consecutive even integers, and setC consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of thefollowing represents the ranking of these sets in an ascending order of the standard deviation?a)C, A, Bb)A, B, Cc)C, B, Ad)B, C, Ae)B, A, CCorrect answer is option 'E'. Can you explain this answer?, a detailed solution for Set A consists of all prime numbers between 10 and 25; Set B consists of consecutive even integers, and setC consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of thefollowing represents the ranking of these sets in an ascending order of the standard deviation?a)C, A, Bb)A, B, Cc)C, B, Ad)B, C, Ae)B, A, CCorrect answer is option 'E'. Can you explain this answer? has been provided alongside types of Set A consists of all prime numbers between 10 and 25; Set B consists of consecutive even integers, and setC consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of thefollowing represents the ranking of these sets in an ascending order of the standard deviation?a)C, A, Bb)A, B, Cc)C, B, Ad)B, C, Ae)B, A, CCorrect answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Set A consists of all prime numbers between 10 and 25; Set B consists of consecutive even integers, and setC consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of thefollowing represents the ranking of these sets in an ascending order of the standard deviation?a)C, A, Bb)A, B, Cc)C, B, Ad)B, C, Ae)B, A, CCorrect answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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