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Page 1 Measure of Dispersion means Measure of Scatterness. Page 2 Measure of Dispersion means Measure of Scatterness. The amount of deviation of the observations, usually from an appropriate Measure of central tendency is called a measure of dispersion. Page 3 Measure of Dispersion means Measure of Scatterness. The amount of deviation of the observations, usually from an appropriate Measure of central tendency is called a measure of dispersion. This gives an idea about the off central behavior of the data. Page 4 Measure of Dispersion means Measure of Scatterness. The amount of deviation of the observations, usually from an appropriate Measure of central tendency is called a measure of dispersion. This gives an idea about the off central behavior of the data. 1. Absolute Measure of Dispersion 2. Relative Measure of Dispersion Page 5 Measure of Dispersion means Measure of Scatterness. The amount of deviation of the observations, usually from an appropriate Measure of central tendency is called a measure of dispersion. This gives an idea about the off central behavior of the data. 1. Absolute Measure of Dispersion 2. Relative Measure of Dispersion Range Mean Deviation Standard Deviation Quartile DeviationRead More
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FAQs on MCQ - Measure of Dispersion - Quantitative Aptitude for CA Foundation
| 1. What is a measure of dispersion in statistics? |  |
Ans. A measure of dispersion in statistics is a numerical value that represents the spread or variability of a set of data. It provides information about how much the individual data points deviate from the mean or central value of the data set.
| 2. What is the difference between range and standard deviation as measures of dispersion? | |
Ans. Range is a simple measure of dispersion that calculates the difference between the highest and lowest values in a data set. On the other hand, standard deviation is a more comprehensive measure that considers the deviation of each data point from the mean. It provides a more accurate representation of the dispersion by considering all the values in the data set.
| 3. How is variance related to measures of dispersion? | |
Ans. Variance is a measure of dispersion that quantifies the average squared deviation of each data point from the mean. It is directly related to other measures of dispersion, such as standard deviation. In fact, the standard deviation is the square root of the variance.
| 4. What are the limitations of using range as a measure of dispersion? | |
Ans. Range as a measure of dispersion has limitations because it only considers the difference between the highest and lowest values in a data set. It does not take into account the values in between, which could result in misleading information about the spread of the data. Additionally, range is highly influenced by outliers, making it less robust in representing the overall variability.
| 5. How does the coefficient of variation help in comparing the dispersion of different data sets? | |
Ans. The coefficient of variation is a measure of dispersion that compares the relative variability of different data sets. It is calculated by dividing the standard deviation by the mean and multiplying by 100 to express it as a percentage. By using the coefficient of variation, we can compare the dispersion of data sets with different means and units, allowing for a more meaningful comparison.
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