(Solved): Set A:n=5;x=10 Set B: n=30;x=10 (a) Suppose the number 38 is induded as an additional data valu ...

Set $$A:n=5;\stackrel{?}{x}=10$$ Set B: $$n=30;\stackrel{?}{x}=10$$ (a) Suppose the number 38 is induded as an additional data value in liet $$A$$. Compete $$\stackrel{?}{x}$$ for the new data set, Hint: $$?x$$ x $$=\stackrel{?}{x}$$. Fo compote $$\stackrel{?}{x}$$ for the new data set, abd 38 to) $$x$$ of the original data set and divide by 6 . (Hound your answer to two decimal places.). (b) Supoose the number ait is included as an additional data value in set B. Comperte $$\stackrel{?}{x}$$ for the new data set. (Round your answer to two decimal places.) (c) Why does the adaiben of the number 38 to each data set change the mean for set A more than it dons for tiet 8 ? Fet 1 has a smaller number of data values than set $$A$$, se to find the mean of $$\mathrm{B}$$ we divide the surn of the values by a larger value than for $$A$$. Set 0 has a smaller number of data values than set $$A$$, so to find the mean of 8 we divide the sum of the values by a smaller value than for $$A$$. Set 8 has a larger number of data values than sot $$A$$, so to find the mean of $$I$$ we divide the sum of the values by a larger value than for $$A$$. Seet $$B$$ has a larger number of data values than set $$A$$, so to find the mean of II we divide the sum of the values by a smaller value than for $$A$$.