Question

Answer each of the folowing questions Provide detailed explanatono other students can henet from your it s of indviduals called a FICO sFICO scores range in value rom ndicating a more crede woth y individual The distribution of FICO scores is skewed eft with a median score of 723 (a) Do you think the mean FICO score is greater than, less than or equal to 723 Justily your response (b) Whatl proportion of Individuals haveFICO score above 2 2 Comparing Standard Deviations The standard deviaion of American Lee is 0 02154. Why is there less variablity in team batting averages J. Use the side-by-side boxplots shown to anwer the questions at l (a) To the nearest integer what is the median of variable x? (b) To the nearest integer, what is the first quartile of variable y? (c) Which variable has more dispersion? Why (d) Does the variable x have any outliers? If so, what is the value of the outilier(s)? (e) Describe the shape of the variable y Support your position.

Answer 1

$1.(a)~Since~distribution~of~FICO~scores~is~skewed~left~so\\ ~mean<median=723~so\\ mean~FICO~scores~is~less~than~723.\\ (b)~Since~723~is~a~median~so~proportion~of~individuals~have~a~FICO~score\\ above~723~is~0.5.\\ 2.~Since~the~teams~are~more~or~less~homogeneous~in~nature~so~ it~is~obvious~that~the~\\ standard~deviation~of~batting~average~of~all~teams~is~less~than~the~standard~deviation\\ batting~average~of~all~players.\\ 3.~(a)~Median~of~x=16\\ (b)~First~quartile~of~y=22\\ (c)~Since~size~of~box~(Inter quartile~range)~of~y>size~of~box~of~x~so\\ variable~y~has~more~dispersion.\\ (d)~Yes,~Outlier=30,\\ ~skewed~left~(since~median-first~quartile>3rd~quartile-median).$