Measures of Dispersion

Front

What is the range in statistics?

Back

The range is the difference between the highest and lowest values in a data set.

Front

What does the Empirical Rule state about standard deviations?

Back

The Empirical Rule states that approximately 95% of the observations in a normal distribution lie within plus and minus two standard deviations of the mean.

Front

What is the standard deviation?

Back

The standard deviation is a measure of the amount of variation or dispersion in a set of values, defined as the square root of the variance.

Front

Can two data sets with the same mean have different standard deviations?

Back

Yes, two data sets can have the same mean but different standard deviations, indicating different levels of dispersion.

Front

Which measure of location is used to compute the variance?

Back

The mean is used to compute the variance of a distribution.

Front

What is variance in statistics?

Back

Variance is a measure of how far a set of numbers are spread out from their average value.

Front

How is the coefficient of variation calculated?

Back

The coefficient of variation is calculated as the ratio of the standard deviation to the mean, often expressed as a percentage.

Front

What does a high standard deviation indicate about a data set?

Back

A high standard deviation indicates that the data points are spread out over a wider range of values.

Front

What is the difference between population variance and sample variance?

Back

Population variance uses the entire population data, while sample variance uses a subset of the population data and includes a correction factor (n-1) in the denominator.

Front

What is the midrange in statistics?

Back

The midrange is the average of the maximum and minimum values in a data set.