Question

Which measure of variability provides the most meaningful information about the following set of scores? Set of scores: 12, 12, 13, 14, 15, 16, 17, 17, 32

Answer 1

Answer:

$Median$

Step-by-step explanation:

Median. Median in this case will give the most meaningful information about this data set.

Reason: There is at least one extreme score,32, in the distribution. It is an outlier that has a great effect on the mean:-

$m_9=\frac{148}{9}=16.44\\m_8=\frac{116}{8}=14.5 \ *11.8\% \ drop \ in \ mean.\\Median_9=15\\Median_8=14.5 \ *just \ a \ 3\% \ drop \ in \ median$

Hence median will give the most meaningful info about this data set