C2. (4 points) Comparing two data sets Given two data sets: X: 35 40 45 32 19 36

Question

C2. (4 points) Comparing two data sets Given two data sets: X: 35 40 45 32 19 36 41 38 19 19 Y: 31 18 18 45 38 42 40 34 18 36 (a) Mathematically determine which data set has the largest average and which data set is more (b) On two separate graphs (use the same scale), plot the data sets and check that your mathematical (c) By what factor (change of units) do we need to multiply the second data set to obtain a data set (d) Plot the old and new data set and double check that your mathematical resu ts are consistent (e) Rank the datasets used in this problem based on three criteria (largest to sme llest). First, use spread. conclusion is consistent with the graphs. with the same mean as the first data set? What is the value of the new standard deviation? with the graphical representation. the mean. Second, use the standard deviation. Third, use the relative standard deviation, that is the standard deviation divided by the mean. Interpret your results in relation to the graphs, that is, try to find an intuitive explanation to the order of the ranks obtained.

Explanation / Answer

a. mean = sum of observations / total no. of obs

mean x = 32.40

mean y = 32.00

max x = 45

min x = 19

max y = 45

min y = 18

range of x = (45-19)=26

rabge of y = (45-18) = 27

mean of x > mean y

spread of y > spread x

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