11. The distribution of Candiens players’ salaries is A. symmetrical. B. slightl
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Question
11.
The distribution of Candiens players’ salaries is
A.
symmetrical.
B.
slightly right-skewed.
C.
slightly left-skewed.
D.
very right-skewed.
E.
very left-skewed.
12.
The median salary is $______ while the mean is $______.
Answer 1: _____________
Answer 2: ____________
13.
The middle half of players earn between $_____ and $_____, although one star is unusually highly paid at $_____.
Answer 1: _________
Answer 2 : __________
Answer 3: ___________
11.
The distribution of Candiens players’ salaries is
A.
symmetrical.
B.
slightly right-skewed.
C.
slightly left-skewed.
D.
very right-skewed.
E.
very left-skewed.
Salaries for the 2010-2011 Montreal Canadiens PLAYER SALARY PLAYER SALARY PLAYER SALARY $8,000,000 Andrei Markov $5,000,000 ran Gionta $3,833,000 Andrei Kostitsyn $2,500,000 Hal Gill 1350,000 Josh Gorges 5,500,000 5,000,000 $3,250,000 1,500,000 1,000,000 $875,000 600,000 500,000 $5,750,000 Roman Hamrlik $5,000,000 Tomas Plekanec Scott Gomez Mike Cammalleri Jaroslav Spacek Carey Price Benoit Pouliot Max Pacioretty Yannick Weber David Desharnais 53,250,000 es Wisniewski 53,250,000James Wisniewski mes Wisni1ewski $2,250,000 Travis Moen $1,300,000 Alex Auld $875,000Lars Eller $637,500 Jeff Halpern $550,000Mathieu Darche $875,000 P. K. Subban 600,000 Alexandre Picard Tom PyattExplanation / Answer
Read the data in R:
data<-read.table("http://www.yorku.ca/nuri/econ2500/moorebps6e/data/xrs-2.44-data.txt",header=T)
attach(data)
names(data)
salary<-data[,2]
sort(salary)
500000 500000 550000 600000 600000 637500 875000 875000 875000 1000000 1300000 1350000 1500000 2250000 2500000 3250000 3250000 3833000 5000000 5000000 5000000 5500000 5750000 8000000
a stem-and-leaf plot of the data, using 100,000s of dollars as the leafs unit, millions for the stems , and dividing each stem into five parts. The distribution is obviously positively skewed and possibly bimodal, and so I decided to make a fivenumber summary of the data
stem(salary,scale=2)
The decimal point is 6 digit(s) to the right of the |
0 | 556666999
1 | 0345
2 | 35
3 | 338
4 |
5 | 00058
6 |
7 |
8 | 0
and the five-number summary is fivenum(salary) 500000 756250 1425000 4416500 8000000
As mentioned, the distribution of salaries is strongly positively skewed, with salaries ranging from halfamillion dollars to 8 million dollars. The median salary is 1.4 million dollars, with half the players earning between 0.8 and 4.4 million. There appear to be two modes: one near the lower end of the distribution, and the other near 5 million dollars. The highest salary, 8 million dollars, appears to be an outlier.
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