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Which measure of dispersion is based on the absolute deviations only?
- a)Standard deviation
- b)Mean deviation
- c)Quartile deviation
- d)Range
Correct answer is option 'B'. Can you explain this answer?
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Which measure of dispersion is based on the absolute deviations only?a...
Absolute Measure of Dispersion gives an idea about the amount of dispersion/ spread in a set of observations. These quantities measures the dispersion in the same units as the units of original data. Absolute measures cannot be used to compare the variation of two or more series/ data set. A measure of absolute dispersion does not in itself, tell whether the variation is large or small.
The Mean Deviation is defined as the arithmetic mean of the deviations measured either from mean or from the median. All these deviations are counted as positive to avoid the difficulty arising from the property that the sum of deviations of observations from their mean is zero.
The Mean Deviation gives more information than range or the Quartile Deviation as it is based on all the observed values. The Mean Deviation does not give undue weight to occasional large deviations, so it should likely to be used in situation where such deviation are likely to occur.
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Which measure of dispersion is based on the absolute deviations only?a...
Mean Deviation as a Measure of Dispersion
Mean Deviation, also known as Average Deviation, is a measure of dispersion that is based on the absolute deviations only. It calculates the average absolute difference between each data point and the mean of the data set.
Formula for Mean Deviation:
Mean Deviation = Σ|xi - x̄| / n
Where,
Σ = Summation
xi = Individual data point
x̄ = Mean of the data set
n = Number of data points
Steps to Calculate Mean Deviation:
1. Find the mean of the data set.
2. Find the absolute difference between each data point and the mean.
3. Add up all the absolute differences.
4. Divide the sum by the number of data points.
Advantages of Mean Deviation:
1. It is easy to understand and calculate.
2. It takes into account all the data points.
3. It can be used for both grouped and ungrouped data.
Disadvantages of Mean Deviation:
1. It ignores the sign of the deviations.
2. It is not as commonly used as other measures of dispersion.
3. It is sensitive to extreme values.
Conclusion:
Mean Deviation is a measure of dispersion that is based on the absolute deviations only. It calculates the average absolute difference between each data point and the mean of the data set. It is easy to understand and calculate, but it has its disadvantages.
Mean Deviation, also known as Average Deviation, is a measure of dispersion that is based on the absolute deviations only. It calculates the average absolute difference between each data point and the mean of the data set.
Formula for Mean Deviation:
Mean Deviation = Σ|xi - x̄| / n
Where,
Σ = Summation
xi = Individual data point
x̄ = Mean of the data set
n = Number of data points
Steps to Calculate Mean Deviation:
1. Find the mean of the data set.
2. Find the absolute difference between each data point and the mean.
3. Add up all the absolute differences.
4. Divide the sum by the number of data points.
Advantages of Mean Deviation:
1. It is easy to understand and calculate.
2. It takes into account all the data points.
3. It can be used for both grouped and ungrouped data.
Disadvantages of Mean Deviation:
1. It ignores the sign of the deviations.
2. It is not as commonly used as other measures of dispersion.
3. It is sensitive to extreme values.
Conclusion:
Mean Deviation is a measure of dispersion that is based on the absolute deviations only. It calculates the average absolute difference between each data point and the mean of the data set. It is easy to understand and calculate, but it has its disadvantages.
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Which measure of dispersion is based on the absolute deviations only?a)Standard deviationb)Mean deviationc)Quartile deviationd)RangeCorrect answer is option 'B'. Can you explain this answer?
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Which measure of dispersion is based on the absolute deviations only?a)Standard deviationb)Mean deviationc)Quartile deviationd)RangeCorrect 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 of dispersion is based on the absolute deviations only?a)Standard deviationb)Mean deviationc)Quartile deviationd)RangeCorrect 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 of dispersion is based on the absolute deviations only?a)Standard deviationb)Mean deviationc)Quartile deviationd)RangeCorrect answer is option 'B'. Can you explain this answer?.
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