STATISTICS Higher Concepts of MathematicsExample:A test was given and the following grades were received: the number of studentsreceiving each grade is given in parentheses.99(1), 98(2), 96(4), 92(7), 90(5), 88(13), 86(11), 83(7), 80(5), 78(4), 75(3), 60(1)The data, as presented, is arranged in descending order and is referred to as an orderedarray. But, as given, it is difficult to determine any trend or other information from thedata. However, if the data is tabled and/or plotted some additional information may beobtained. When the data is ordered as shown, a frequency distribution can be seen thatwas not apparent in the previous list of grades.GradesNumber ofOccurrencesFrequencyDistribution9998969290888683807875111111111111 111111111111 11111 11111111 11111 111111 11111111111111112475131175431In summary, one method of obtaining additional information from a set of data is to determinethe frequency distribution of the data. The frequency distribution of any one data point is thenumber of times that value occurs in a set of data. As will be shown later in this chapter, thiswill help simplify the calculation of other statistically useful numbers from a given set of data.TheMeanOne of the most common uses of statistics is the determination of the mean value of a set ofmeasurements. The term "Mean" is the statistical word used to state the "average" value of a setof data. The mean is mathematically determined in the same way as the "average" of a groupof numbers is determined.MA-05 Page 2 Rev. 0