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Coefficient of Quartile deviation, with Q1 at 25 and Q3 at 125, equals
- a)1.25
- b)0.75
- c)0.66
- d)0.55
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Coefficient of Quartile deviation, with Q1 at 25 and Q3 at 125, equals...
The coefficient of quartile deviation (sometimes called the quartile coefficient of dispersion) allows you to compare dispersion for two or more sets of data. The formula is:
Q3-Q1
Q3+Q1
100/150= 0.66
Q3-Q1
Q3+Q1
100/150= 0.66
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Coefficient of Quartile deviation, with Q1 at 25 and Q3 at 125, equals...
Calculation of Quartile Deviation:
Quartile deviation is a measure of dispersion that measures the spread of data around the median. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3) and dividing the result by 2.
Given:
Q1 = 25
Q3 = 125
Calculation:
Quartile deviation (QD) = (Q3 - Q1) / 2
Substituting the given values:
QD = (125 - 25) / 2
QD = 100 / 2
QD = 50
Explanation:
The quartile deviation is calculated by subtracting the first quartile (Q1) from the third quartile (Q3) and dividing the result by 2. In this case, Q1 is 25 and Q3 is 125.
QD = (125 - 25) / 2
QD = 100 / 2
QD = 50
Therefore, the coefficient of quartile deviation is calculated by dividing the quartile deviation by the average of the first and third quartiles. In this case, the average of Q1 and Q3 is (25 + 125) / 2 = 75.
Coefficient of quartile deviation = QD / [(Q1 + Q3) / 2]
Coefficient of quartile deviation = 50 / 75
Coefficient of quartile deviation = 2/3 ≈ 0.66
Conclusion:
The coefficient of quartile deviation, with Q1 at 25 and Q3 at 125, is approximately 0.66. Therefore, the correct answer is option 'C'.
Quartile deviation is a measure of dispersion that measures the spread of data around the median. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3) and dividing the result by 2.
Given:
Q1 = 25
Q3 = 125
Calculation:
Quartile deviation (QD) = (Q3 - Q1) / 2
Substituting the given values:
QD = (125 - 25) / 2
QD = 100 / 2
QD = 50
Explanation:
The quartile deviation is calculated by subtracting the first quartile (Q1) from the third quartile (Q3) and dividing the result by 2. In this case, Q1 is 25 and Q3 is 125.
QD = (125 - 25) / 2
QD = 100 / 2
QD = 50
Therefore, the coefficient of quartile deviation is calculated by dividing the quartile deviation by the average of the first and third quartiles. In this case, the average of Q1 and Q3 is (25 + 125) / 2 = 75.
Coefficient of quartile deviation = QD / [(Q1 + Q3) / 2]
Coefficient of quartile deviation = 50 / 75
Coefficient of quartile deviation = 2/3 ≈ 0.66
Conclusion:
The coefficient of quartile deviation, with Q1 at 25 and Q3 at 125, is approximately 0.66. Therefore, the correct answer is option 'C'.
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Coefficient of Quartile deviation, with Q1 at 25 and Q3 at 125, equalsa)1.25b)0.75c)0.66d)0.55Correct answer is option 'C'. Can you explain this answer? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Coefficient of Quartile deviation, with Q1 at 25 and Q3 at 125, equalsa)1.25b)0.75c)0.66d)0.55Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Coefficient of Quartile deviation, with Q1 at 25 and Q3 at 125, equalsa)1.25b)0.75c)0.66d)0.55Correct answer is option 'C'. Can you explain this answer?.
Coefficient of Quartile deviation, with Q1 at 25 and Q3 at 125, equalsa)1.25b)0.75c)0.66d)0.55Correct answer is option 'C'. Can you explain this answer? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Coefficient of Quartile deviation, with Q1 at 25 and Q3 at 125, equalsa)1.25b)0.75c)0.66d)0.55Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Coefficient of Quartile deviation, with Q1 at 25 and Q3 at 125, equalsa)1.25b)0.75c)0.66d)0.55Correct answer is option 'C'. Can you explain this answer?.
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