Dispersion Exercises
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This page presents multiple data sets and for each you are to find,
using RStudio, various measures of dispersion, the
range, the quartiles, and the standard deviation.
The standard deviation is to be computed twice, once for
a sample, and once for a population. While you are at it, you
asked to also find the mean, the median, and the
mode, which are measures of central tendency.
In order that you can check your work, the answers are given for each data set.
Case 1:
For the data set in Table I, find the mean, the median, the mode,
the first and third quartiles, and the standard deviation, both treating the
data set as a sample and as a population.
Case 2:
For the data set in Table II, find the mean, the median, and the mode,
the first and third quartiles, and the standard deviation, both treating the
data set as a sample and as a population.
Case 3:
For the data set in Table III, find the mean, the median, and the mode,
the first and third quartiles, and the standard deviation, both treating the
data set as a sample and as a population.
Case 4:
For the data set in Table IV, find the mean, the median, and the mode,
the first and third quartiles, and the standard deviation, both treating the
data set as a sample and as a population.
Case 5:
For the data set in Table V, find the mean, the median, and the mode,
the first and third quartiles, and the standard deviation, both treating the
data set as a sample and as a population.
Return to Measures of Dispersion page
©Roger M. Palay
Saline, MI 48176 January, 2018