As a statistician, and you go to a meeting where facts and figures are presented as facts, what are the points you are looking for to determine if the information presented is good or skewed to simply sway opinion?
Always look for mean median and mode.
If information is not skewed,but is symmetric around its central tendency the mean, median, and mode are all the same value.
But in a skewed distribution, the mean, median, and mode are all different values.
-SKEWED to RIGHT or POSITIVE skewed
In this situation, the mean and the median are both greater than the mode
Most of the time for data skewed to the right, the mean will be greater than the median.
Always: mean greater than the mode
Always: median greater than the mode
Most of the time: mean greater than median
-SKEWED to the LEFT or Negatively skewed
In this situation, the mean and the median are both less than the mode.
Most of the time, the mean will be less than the median.
mean less than the mode-always
median less than the mode-always
Most of the time: mean less than median
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