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(Solved by Expert Tutors) 2. Histograms (12 points)The data are the acidity levels (measured


The data are the acidity levels (measured

in pH) in 105 samples of rainwater. Distilled water has pH 7.00. As the water becomes more acidic, the pH goes down. The pH of rainwater is important to environmentalists because of the problem of acid rain. Using Excel and the data on cuLearn in the Excel file called Problem2.xlsx:
PADM 5126 Prof. Ammi Fall 2016
2
a) Make a histogram of pH with 14 classes, using class boundaries (i.e. bins) 4.2, 4.4, ..., 7.0. How many modes does you histogram show? More than one mode suggests that the data contain groups that have different distributions.
b) Make a second histogram, also with 14 classes, using the class boundaries 4.14, 4.34, ... , 6.94. The classes are those from (a) moved 0.06 to the left. Compare and contrast the resulting histogram to the one you made in part (a).
c) Make a third histogram, letting Excel choose the number and size of classes. Compare and contrast the resulting histogram to the ones you made in parts (a) and (b).
d) What lesson do you take away from this exercise?

 


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