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Which measure is based on only the central fifty percent of the observations?
- a)Standard deviation
- b)Quartile deviation
- c)Mean deviation
- d)All these measures
Correct answer is option 'B'. Can you explain this answer?
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Which measure is based on only the central fifty percent of the observ...
Quartiles, Quartile Deviation and Coefficient of Quartile Deviation. The Quartile Deviation is a simple way to estimate the spread of a distribution about a measure of its central tendency (usually the mean). So, it gives you an idea about the range within which the central 50% of your sample data lies.
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Which measure is based on only the central fifty percent of the observ...
Quartile deviation is based on only the central fifty percent of the observations.
Quartile deviation
Quartile deviation is a measure of dispersion that is based on the values of the first and third quartiles. The first quartile (Q1) is the value that separates the smallest 25% of the observations from the largest 75%, and the third quartile (Q3) is the value that separates the smallest 75% of the observations from the largest 25%. The quartile deviation is the difference between the first and third quartiles, divided by two.
Central fifty percent
The central fifty percent of the observations refers to the middle half of the data, which includes the values between the first and third quartiles. This is also known as the interquartile range (IQR). The IQR is a measure of the spread of the data that is not affected by outliers.
Other measures of dispersion
Standard deviation and mean deviation are other measures of dispersion that are based on all the observations in the data set. Standard deviation measures the spread of the data around the mean, while mean deviation measures the average distance of the data from the mean.
Conclusion
In conclusion, quartile deviation is the measure of dispersion that is based on only the central fifty percent of the observations, while standard deviation and mean deviation are based on all the observations.
Quartile deviation
Quartile deviation is a measure of dispersion that is based on the values of the first and third quartiles. The first quartile (Q1) is the value that separates the smallest 25% of the observations from the largest 75%, and the third quartile (Q3) is the value that separates the smallest 75% of the observations from the largest 25%. The quartile deviation is the difference between the first and third quartiles, divided by two.
Central fifty percent
The central fifty percent of the observations refers to the middle half of the data, which includes the values between the first and third quartiles. This is also known as the interquartile range (IQR). The IQR is a measure of the spread of the data that is not affected by outliers.
Other measures of dispersion
Standard deviation and mean deviation are other measures of dispersion that are based on all the observations in the data set. Standard deviation measures the spread of the data around the mean, while mean deviation measures the average distance of the data from the mean.
Conclusion
In conclusion, quartile deviation is the measure of dispersion that is based on only the central fifty percent of the observations, while standard deviation and mean deviation are based on all the observations.
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Which measure is based on only the central fifty percent of the observations?a)Standard deviationb)Quartile deviationc)Mean deviationd)All these measuresCorrect answer is option 'B'. Can you explain this answer?
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Which measure is based on only the central fifty percent of the observations?a)Standard deviationb)Quartile deviationc)Mean deviationd)All these measuresCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Which measure is based on only the central fifty percent of the observations?a)Standard deviationb)Quartile deviationc)Mean deviationd)All these measuresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which measure is based on only the central fifty percent of the observations?a)Standard deviationb)Quartile deviationc)Mean deviationd)All these measuresCorrect answer is option 'B'. Can you explain this answer?.
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