Assume that trees are subjected to different levels of carbon dioxide atmosphere
ID: 3439641 • Letter: A
Question
Assume that trees are subjected to different levels of carbon dioxide atmosphere with 8% of the trees in a minimal growth condition at 360 parts per million (ppm), 12% at 470 ppm (slow growth), 46% at 570 ppm (moderate growth), and 34% at 630 ppm (rapid growth). What is the mean and standard deviation of the carbon dioxide atmosphere (in ppm) for these trees in ppm?
Assume that trees are subjected to different levels of carbon dioxide atmosphere with 8% of the trees in a minimal growth condition at 360 parts per million (ppm), 12% at 470 ppm (slow growth), 46% at 570 ppm (moderate growth), and 34% at 630 ppm (rapid growth). What is the mean and standard deviation of the carbon dioxide atmosphere (in ppm) for these trees in ppm?Explanation / Answer
The solution is presented in the form of a table
Mean value is obtd. as a weigthed average of all the four components
Mean = 561.5
Deviations = Deviation of CO2 levels from mean value
SD = sqrt of weighted average of the square of deviations
SD = 76.69
Ask if you have any doubts. Hope this helps.
Percent PPM Product Deviation D^2 Per. * D^2 Minimal 0.08 360 28.8 -201.6 40642.56 3251.4048 Slow 0.12 470 56.4 -91.6 8390.56 1006.8672 Moderate 0.46 570 262.2 8.4 70.56 32.4576 Rapid 0.34 630 214.2 68.4 4678.56 1590.7104 Total 561.6 5881.44 Sdev 76.69054701