mean,mode,median and range

maths

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.