Question

The mean and median are two measures of central tendency. Make up an example of a data set,

where the mean would be a misleading description of the center of the data, and the median

would be more representative of the center of the distribution.

Answer 1

consider the data set:

0.5083434, 0.2892924, -0.3723859, 0.6621912, -0.2403963, 1.4971939, -0.4517341, 0.4283829, 1.0123948, 90.0000000

mean = 9.333328

median = 0.4683631

here the mean would be a misleading description of the center of the data, and the median

would be more representative of the center of the distribution

reason: the data set contains the presence of extreme value (90, in this case)

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