A back-to-back stem-and-leaf display on two data sets is conducted by hanging the data on both sides of the same stems. Here is a back-to-back stem-and-leaf display for the cloud seeding data in Exercise 6-22 showing the unseeded clouds on the left and the seeded clouds on the right.
How does the back-to-back stem-and-leaf display show the differences in the data set in a way that the dotplot cannot?
6-22 Cloud seeding, a process in which chemicals such as silver iodide and frozen carbon dioxide are introduced by aircraft into clouds to promote rainfall was widely used in the 20th century. Recent research has questioned its effectiveness [Journal of Atmospheric Research (2010, Vol. 97 (2), pp. 513– 525)]. An experiment was performed by randomly assigning 52 clouds to be seeded or not. The amount of rain generated was then measured in acre-feet. Here are the data for the unseeded and seeded clouds:
81.2 26.1 95.0 41.1 28.6 21.7 11.5 68.5 345.5 321.2 1202.6 1.0 4.9 163.0 372.4 244.3 47.3 87.0 26.3 24.4 830.1 4.9 36.6 147.8 17.3 29.0
274.7 302.8 242.5 255.0 17.5 115.3 31.4 703.4 334.1 1697.8 118.3 198.6 129.6 274.7 119.0 1656.0 7.7 430.0 40.6 92.4 200.7 32.7 4.1 978.0 489.1 2745.6 Find the sample mean, sample standard deviation, and range of rainfall for
(a) All 52 clouds
(b) The unseeded clouds
(c) The seeded clouds
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We have to explain how the back to back stem and leaf display show the the differences in the data set in a way that the dot plot can not
Here the back to back stem and leaf display compares the two data sets unseeded and seeded clouds respectively
Here the same stems are used for each data set .The leaves for 1st data set on one side and the for the 2nd data set on the other side
Back to back stem and leaf display are good way of grouping before analyzing the data
Plots from it are very sophisticated as compared to dot plots
as we can change the increments in stem and leaf plots but not in the dot plots