# Understanding to Mean, Median and Mode

Mean, Median, Mode.

• Mean- the average of the data.
• Median - is the middle value when data.
• Mode- The mode of a data set is the number that occurs most frequently in the set

When describing a set of numbers, it is convenient to use just a single number to represent that set. This representative number or “average” sits somewhere in the middle of the set somewhere between the lowest and the highest number.

Whether we choose the mean, median or mode as the average depends on the nature of the set and which measure most truly represents that set. For example, if one number is much more frequent than any other than the mode may give the most accurate representation of that set otherwise you would avoid the mode.

The mean is the most useful mathematical representation of a set because it takes every score into account and can be used in other statistical formulas. However, it is badly affected by extreme values so the median or a combination of mean and median (mean of the set with the extreme values removed) is often preferred.

To find the median, your numbers have to be listed in numerical order from smallest to largest, so you may have to rewrite your list before you can find the median. The “mode” is the value that occurs most often. If no number in the list is repeated, then there is no mode for the list.