STATISTICS Higher Concepts of MathematicsExample:Find the mean of 67, 88, 91, 83, 79, 81, 69, and 74.Solution:x1nni 1xiThe sum of the scores is 632 and n = 8, thereforex6328x79In many cases involving statistical analysis, literally hundreds or thousands of data points areinvolved. In such large groups of data, the frequency distribution can be plotted and thecalculation of the mean can be simplified by multiplying each data point by its frequencydistribution, rather than by summing each value. This is especially true when the number ofdiscrete values is small, but the number of data points is large.Therefore, in cases where there is a recurring number of data points, like taking the mean of aset of temperature readings, it is easier to multiply each reading by its frequency of occurrence(frequency of distribution), then adding each of the multiple terms to find the mean. This is oneapplication using the frequency distribution values of a given set of data.Example:Given the following temperature readings,573, 573, 574, 574, 574, 574, 575, 575, 575, 575, 575, 576, 576, 576, 578Solution:Determine the frequency of each reading.MA-05 Page 4 Rev. 0
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