# explain mean,median,mode and range

Mean:

The mean (or average) of observations, as we know, is the sum of the values of all the observations divided by the total number of observations. Mode:

The value of a data set that occurs most often is known as the mode of the data set.

For example, in the given data set 2, 6, 7, 5, 4, 2, 6, 7, 9, 7, 8, 3, 2, 11, the number 7 and 2 occur most often (3 times). Therefore, both 7 and 2 are the modes of the given set of numbers.

Range: • 8

Mean, median, and mode are three kinds of "averages". There are many "averages" in statistics, but these are, I think, the three most common, and are certainly the three you are most likely to encounter in your pre-statistics courses, if the topic comes up at all.

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers. To find the median, your numbers have to be listed in numerical order, so you may have to rewrite your list first. The "mode" is the value that occurs most often. If no number is repeated, then there is no mode for the list.

The "range" is just the difference between the largest and smallest values.

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