# mean,mode,median and range

## mean

The mean is the usual average, so: (13 + 18 + 13 + 14 + 13 + 16 + 14 + 21 + 13) ÷ 9 = 15

## median

The median is the middle value, so I'll have to rewrite the list in order:13, 13, 13, 13, 14, 14, 16, 18, 21There are nine numbers in the list, so the middle one will be the (9 + 1) ÷ 2 = 10 ÷ 2 = 5th number:13, 13, 13, 13, 14, 14, 16, 18, 21So the median is 14.

## mode

The mode is the number that is repeated more often than any other, so 13 is the mode.

## range

The largest value in the list is 21, and the smallest is 13, so the range is 21 – 13 = 8.

## Find the mean, median, mode, and range for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13

mean:15  median:14  mode:13 range: 8

## cons

Mode Cons~It is possible to have no mode, one mode, or many modes.~Not a great descriptor of a data set, there is no guarantee that Mode will reflect the greater set.Median Cons ~You MUST put the numbers in order from least to greatest.~The way you find median differs depending on how many numbers are in the group.Mean Cons~It is one large calculation, often giving you a decimal number.~You must count all the numbers in the set.~Can be skewed due to an outlier.

## pros

Mode Pros~You do NOT have to put the data in order.~No calculations necessary. Median Pros~It finds the middle of the data set.~It is not affected by one outlier number.~Combined with mean it can be a very descriptive toolMean Pros~You do NOT have to put the data in order.~Mean is a very descriptive value.~Represents what each value would be if they were all equal.