Higher Concepts of Mathematics STATISTICSFrequency DistributionTemperatures Frequency (f)(f)(x_{i})573574575576578245311511462296287517285788623Then calculate the mean,x1nni 1x_{i}x2(573)4(574)5(575)3(576)1(578)15x862315x574.9VariabilityWe have discussed the averages and the means of sets of values. While the mean is a useful toolin describing a characteristic of a set of numbers, sometimes it is valuable to obtain informationabout the mean. There is a second number that indicates how representative the mean is of thedata. For example, in the group of numbers, 100, 5, 20, 2, the mean is 31.75. If these datapoints represent tank levels for four days, the use of the mean level, 31.75, to make a decisionusing tank usage could be misleading because none of the data points was close to the mean.Rev. 0 Page 5 MA-05