The total annual pumpage (in acre-ft) over the last 30 years from a fully developed irrigation well field was observed as follows:
2450 | 3300 | 3400 | 3650 | 3800 |
2650 | 3150 | 3100 | 3500 | 2850 |
3050 | 4300 | 3300 | 3300 | 3150 |
2100 | 3300 | 3650 | 3150 | 3550 |
2900 | 3250 | 3000 | 3400 | 3750 |
3900 | 3600 | 3150 | 3600 | 3000 |
Form an array of the data and plot the apparent frequencies on normal probability paper. Compute and plot the mean of the data and draw the line of best fit through the mean and as close as possible to the other points by eye. Estimate from the line the standard deviation and the highest value expected to be equaled or exceeded once in 50 years.
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