Write a C++ program that computes the central tendencies mean (average), mode, median and the variation: variance, standard deviation and range for a set of numbers given in the data file ArsenicGroundWaterFile.txt.

Read the file into a Vector.

The following data represent (naturally occurring) concentration of arsenic in ground water for a random sample of 102 Northwest Texas wells. Units are parts per billion. Reference: Nichols, C.E. and Kane, V.E., Union Carbide Technical Report K/UR-1

The output should be as follows to two decimal places:

Central Tendency Variation

Mean xxx.xx Variance xxx.xx

Median xxx.xx Std. Dev xxx.xx

Mode xxx.xx Range xxx.xx

ArsenicGroundWaterFile.txt.

17.6 10.4 13.5 4 19.9 16 12 12.2 11.4 12.7 3 10.3 21.4 19.4 9 6.5 10.1 8.7 9.7 6.4 9.7 63 15.5 10.7 18.2 7.5 6.1 6.7 6.9 0.8 73.5 12 28 12.6 9.4 6.2 15.3 7.3 10.7 15.9 5.8 1 8.6 1.3 13.7 2.8 2.4 1.4 2.9 13.1 15.3 9.2 11.7 4.5 1 1.2 0.8 1 2.4 4.4 2.2 2.9 3.6 2.5 1.8 5.9 2.8 1.7 4.6 5.4 3 3.1 1.3 2.6 1.4 2.3 1 5.4 1.8 2.6 3.4 1.4 10.7 18.2 7.7 6.5 12.2 10.1 6.4 10.7 6.1 0.8 12 28.1 9.4 6.2 7.3 9.7 62.1 15.5 6.4 9.5