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Questions and Answers
The absolute method measures dispersion in the same units as the ______.
data
The relative method expresses dispersion as ratios or ______.
percentages
The ______ range is one of the types of dispersion discussed in this study.
range
The ______ deviation is a type of dispersion that helps to understand the spread of the data points around the mean.
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Coefficients of dispersion are better for ______ series.
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Study Notes
Absolute and Relative Dispersion
- Dispersion analysis measures the spread or variability of a dataset.
- Absolute measures of dispersion use the same units as the data, but are not ideal for comparing different datasets.
- Relative measures of dispersion are ratios or percentages, calculated as coefficients. These coefficients are helpful for comparing datasets.
- Range is the difference between the highest and lowest values in a dataset. Its coefficient compares range to the total of the dataset.
- Inter-quartile range (IQR) is the difference between the third (Q3) and first (Q1) quartiles in a dataset. Its coefficient compares IQR to the dataset total.
- Semi-inter quartile range (Q.D.) is half of the IQR. Its coefficient is the Q.D. divided by the dataset total.
- Decile range is the difference between the ninth and first deciles in a dataset. Its coefficient is the decile range divided by the dataset total.
- Percentile range is the difference between any two percentiles in a dataset. Its coefficient compares the percentile range to the dataset total.
- Mean Deviation is the average absolute difference between each data point and the mean. Its coefficient is the mean deviation divided by the dataset total.
- Standard deviation is the square root of the variance, representing the spread of data around the mean. Its coefficient (coefficient of variation) compares standard deviation to the mean.
- The choice of dispersion method depends on the specific research question and the type of data being analyzed.
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Description
This quiz focuses on the concepts of absolute and relative dispersion in statistics. It covers various measures of dispersion, including range, inter-quartile range, semi-inter quartile range, decile range, and percentile range, along with their coefficients. Test your understanding of how these measures can be applied to compare datasets effectively.
