In order to determine if air quality readings in a certain assembly plant were within OSHA guidelines, an engineer collected the following data: 108, 99, 84, 93, 80, 90, 83, 83, 96, 85, and 89 ppb (parts per billion).
(a) Determine the arithmetic mean (by hand and spreadsheet).
(b) Calculate the standard deviation (by hand and spreadsheet).
(c) Determine the number of values and percentage of values that fall within ±1 standard deviation of the mean.
 FIGURE 4.png)
(c) Range for ±1s is 90 ± 8.43 = 81.57– 98.43
Number of values in range = 8
% of values in range = 8/11 = 72.7%
Spreadsheet: Values entered into cells A1:A11
(a) Function: = AVERAGE(A1:A11) displays 90.0
(b) Function: = STDEV(A1:A11) displays 8.43
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