responded to Terri's post by agreeing with her thought that the teaching of measures of central tendency
should go beyond mere computation.
The information about levels of measurement is used to determine which measures of central tendency
can appropriately be used to describe a distribution.
In this case, different measures of central tendency
may differ in level, but they will all change by the same percentage and will therefore show the same index value relative to a base year.
West, "Standard Measures of Central Tendency
for Censored Earnings Data from the Current Population Survey," a BLS statistical note, available from the Office of Research and Evaluation, Bureau of Labor Statistics.
He gives basic terminology and concepts such as scales of measurement and variables, then launches into a range of methods displaying data, measures of central tendency
and variability, normal distribution, basic concepts of probability, sampling distributions and hypothesis testing, correlation, regression, multiple regression, power, the various analyses of variance, the chi-square, nonparametric and distribution-free statistical tests, and a very handy set of instructions on choosing the appropriate analysis.
He works through statistical parameters in terms of the measures of central tendency
and variation, standard scores, the z distribution, hypothesis testing, inferential statistics, including baloney detection, correlation and regression, the t test for independent and dependent groups, analysis of variance for a variety of situations, functional analysis of variance, nonparametric statistics and other statistical parameters and tests.
The authors cover measures of central tendency
, correlation, regression, chi square test of significance, analysis of variance, group comparisons, and split block design.