The histogram below shows the distribution of times, in minutes, required for 25

Question

The histogram below shows the distribution of times, in minutes, required for 25 rats in an animal behavior experiment to navigate a maze successfully.

To describe the center and spread of the above distribution, the appropriate numerical measures are:

the mean and the standard deviation

   the mean and the median

   the median and the IQR

   the IQR and the standard deviation

   Any of the above would be appropriate, it is just a matter of taste.

Explanation / Answer

Center and Spread for a skewed distribution:

Here the histogram says that the distribution is positively skewed. So median will be the best measure of central tendency. Semi interquartile range is the best measure for dispersion. If we use these measures then we get the valid results. If we are wrong to choose these measures correctly then our analysis would be wrong here.

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