Baseball Salaries.pdf

# Are these distributions somewhat symmetric skewed

• 4

This preview shows pages 2–4. Sign up to view the full content.

each; compare the lengths of the two whiskers in each. Are these distributions somewhat symmetric, skewed left or skewed right? _____________________________ 3) Compare the centers of the three salary data sets by using the median. ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________

This preview has intentionally blurred sections. Sign up to view the full version.

Wes White Active Math Instruction Whittier, CA 4) Why is the median a better measure of center to use than the mean for this comparison? ______________________________________________________________________ ______________________________________________________________________ 5) The median salaries form largest to smallest are Red Sox, Yankees, and Rays. Does this imply that the total salaries are in that order? ______ What order of total salaries is suggested by the parallel box plots? ________________________________ ______________________________________________________________________ 6) Which of the three total salaries is much different than the other two?_____________ ______________________________________________________________________ 7) Between what Yankee or Red Sox quartiles do we find the highest paid Ray? ______________________________________________________________________ ______________________________________________________________________ 8) Define and give the formula for the interquartile range IQR. ______________________________________________________________________ ______________________________________________________________________ 9) Calculate the IQR for each data set. Compare the variation of the three data sets using the IQR. Why is the IQR a better measure of variation to use than the standard deviation for this comparison? ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ 10) An upper outlier is defined as an observation x such that x > Q3 + 1.5 * IQR. Find the three minimum x values for each team: Yankees_______________________________________________________________ Red Sox_______________________________________________________________ Rays _________________________________________________________________ 11) Look at the data. Which salaries on the three teams are outliers compared to the rest of their team? Show how these salaries exceed the three minima given above. ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ 12) A lower outlier is defined as an observation x such that x < Q1 1.5 * IQR. Show that none of these teams has lower outliers by finding the maximum x value for each: Yankees _______________________________________________________________ Red Sox _______________________________________________________________ Rays__________________________________________________________________