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Coefficient of Quartile Deviation is equal to
- a)Quartile deviation x 100 / median
- b)Quartile deviation x 100 / mean
- c)Quartile deviation x 100 / mode
- d)None
Correct answer is option 'A'. Can you explain this answer?
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Coefficient of Quartile Deviation is equal toa)Quartile deviation x 10...
Coefficient of Quartile Deviation
The coefficient of quartile deviation is a measure of dispersion that is used to determine the variability or spread of a data set. It is defined as the ratio of the quartile deviation to the median of the data set.
Formula
The formula for calculating the coefficient of quartile deviation is as follows:
Coefficient of Quartile Deviation = Quartile Deviation x 100 / Median
Where,
- Quartile Deviation = (Q3 - Q1) / 2
- Median = (N + 1) / 2th value
Explanation
- Quartile Deviation: Quartile deviation is a measure of dispersion that is used to determine the spread of a data set. It is defined as half of the difference between the upper and lower quartiles. The formula for calculating quartile deviation is (Q3 - Q1) / 2, where Q3 is the third quartile and Q1 is the first quartile.
- Median: Median is a measure of central tendency that is used to determine the middle value of a data set. It is defined as the value that separates the upper and lower halves of a data set. The formula for calculating the median is (N + 1) / 2th value, where N is the number of observations in the data set.
Therefore, the coefficient of quartile deviation is equal to the quartile deviation divided by the median of the data set, multiplied by 100. The resulting value is expressed as a percentage and represents the relative variability or spread of the data set.
The coefficient of quartile deviation is a measure of dispersion that is used to determine the variability or spread of a data set. It is defined as the ratio of the quartile deviation to the median of the data set.
Formula
The formula for calculating the coefficient of quartile deviation is as follows:
Coefficient of Quartile Deviation = Quartile Deviation x 100 / Median
Where,
- Quartile Deviation = (Q3 - Q1) / 2
- Median = (N + 1) / 2th value
Explanation
- Quartile Deviation: Quartile deviation is a measure of dispersion that is used to determine the spread of a data set. It is defined as half of the difference between the upper and lower quartiles. The formula for calculating quartile deviation is (Q3 - Q1) / 2, where Q3 is the third quartile and Q1 is the first quartile.
- Median: Median is a measure of central tendency that is used to determine the middle value of a data set. It is defined as the value that separates the upper and lower halves of a data set. The formula for calculating the median is (N + 1) / 2th value, where N is the number of observations in the data set.
Therefore, the coefficient of quartile deviation is equal to the quartile deviation divided by the median of the data set, multiplied by 100. The resulting value is expressed as a percentage and represents the relative variability or spread of the data set.
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Community Answer
Coefficient of Quartile Deviation is equal toa)Quartile deviation x 10...
Quartile deviation=Q3-Q1/2 Median=Q3+Q1/2 Dividing these two will result Q3-Q1/Q3+Q1 which is coefficient of quartile devaition. When it is given as percentage we multiply above result by 100
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Coefficient of Quartile Deviation is equal toa)Quartile deviation x 100 / medianb)Quartile deviation x 100 / meanc)Quartile deviation x 100 / moded)NoneCorrect answer is option 'A'. Can you explain this answer?
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