CK-12 Probability and Statistics - Advanced

(Marvins-Underground-K-12) #1

1.4. Measures of Spread http://www.ck12.org


Range:


Standard Deviation:


(b) Explain why the mean is so much larger than the median in the context of this data.


(c) Explain why the standard deviation is so large.



  1. At http://content.usatoday.com/sports/baseball/salaries/default.aspx, USAToday keeps a data base of major
    league baseball salaries. You will see a pull-down menu that says, “Choose an MLB Team”. Pick a team and
    find the salary statistics for that team. Next to the current year you will see the median salary. If this site is not
    available, a web search will most likely locate similar data.


(a) Record the median and verify that it is correct.


(b) Find the other measures of center and record them.


Mean:


Mode:


Midrange:


Lower Quartile:


Upper Quartile:


QR:


(c) Explain the real-world meaning of each measure of center in the context of this data.


Mean:


Median:


Mode:


Midrange:


Lower Quartile:


Upper Quartile:


IQR:


(d) Find the following measures of spread:


Range:


Standard Deviation:


(e) Explain the real-world meaning of each measure of spread in the context of this situation.


(f) Write two sentences commenting on two interesting features about the way the salary data is distributed for this
team.


Part Two: Answers


Part Two: Answers





    1. a. mode 99 and 87



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