Higher Concepts of Mathematics STATISTICSThe arithmetic mean of a set of N measurements, Xl, X2, X3, ..., XN is equal to the sum of themeasurements divided by the number of data points, N. Mathematically, this is expressed by thefollowing equation:x1nni 1xiwhere= the meanxn= the number of values (data)x1= the first data point, x2 = the second data point,....xi = the ith data pointxi= the ith data point, x1 = the first data point, x2 = the second data point, etc.The symbol Sigma () is used to indicate summation, and i = 1 to n indicates that the values ofxifrom i = 1 to i = n are added. The sum is then divided by the number of terms added, n.Example:Determine the mean of the following numbers:5, 7, 1, 3, 4Solution:x1nni 1xi155i 1xiwhere= the meanxn= the number of values (data) = 5x1= 5, x2= 7, x3= 1, x4= 3, x5= 4substituting= (5 + 7 + 1 + 3 + 4)/5 = 20/5 = 44 is the mean.Rev. 0 Page 3 MA-05
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