If we do one or more of these
things and the mean reading scores of an appropriate sample of children increases,
we have grounds for concluding that we have improved the process for producing
readers. Again, we emphasize that though we have specified the mean in this
example, we might be as happy using the median or some other measure of center.
The above example, however, indicates a way in which a measure of center is
often special. That is, the practical issue in which we are usually interested is
whether, overall, things are getting better or worse, a question most naturally
phrased in terms of a change of center.
If we do one or more of thesethings and the mean reading scores of an appropriate sample of children increases,we have grounds for concluding that we have improved the process for producingreaders. Again, we emphasize that though we have specified the mean in thisexample, we might be as happy using the median or some other measure of center.The above example, however, indicates a way in which a measure of center isoften special. That is, the practical issue in which we are usually interested iswhether, overall, things are getting better or worse, a question most naturallyphrased in terms of a change of center.
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