Measures of Dispersion in Statistics

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What does statistical dispersion refer to?

The variability of numerical data around an average value

Which measure of dispersion expresses variations in terms of the average of deviations of observations?

Variance

What does the range in a data set represent?

The spread between maximum and minimum values

How is variance calculated in a data set?

Subtract the mean from each data point, square them, sum all squares, then divide by total values

What does standard deviation measure in a set of numerical data?

The variability of individual data points around the mean

How does an absolute measure of dispersion differ from a relative measure?

Absolute measures express variations in terms of the original unit, while relative measures do not

What does dispersion help in understanding about numerical data?

The distribution and variability around an average value

Which measure of dispersion is the difference between the maximum and minimum values in a data set?

Range

What does the variance measure in a data set?

The spread or scatter of all data points around the mean

Which measure of dispersion uses the individual deviations from the mean?

Standard deviation

What does statistical dispersion refer to?

The likelihood of numerical data varying around an average value

How is variance calculated in a data set?

By taking the absolute difference between each data point and the mean, and then dividing by the total number of data points

What does an absolute measure of dispersion express?

The variation in terms of the average deviations from the observations

How does dispersion help in understanding numerical data?

It shows how homogeneous or heterogeneous the data is

Learn about statistical dispersion and how it helps in understanding the variability of data around an average value. Explore different measures of dispersion to interpret the distribution and homogeneity of the data.

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