The following table gives the winning scores in the Masters golf tournament for the years from 1973 to 2008. Use it (a) to construct a stem and leaf plot, and (b) to find the sample median of the winning scores in these years.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Year
Player
Score
1973
1974
283
278
Tommy Aaron
Gary Player
Jack Nicklaus
Ray Floyd
1975
276
1976
271
1977
Tom Watson
276
Gary Player
Fuzzy Zoeller
1978
277
1979
280
1980
Seve Ballesteros
275
(continued)
Year
Player
Score
1981
Tom Watson
280
Craig Stadler
Seve Ballesteros
1982
284
1983
280
1984
Ben Crenshaw
277
Bernhard Langer
Jack Nicklaus
Larry Mize
Sandy Lyle
1985
282
1986
279
1987
285
1988
281
1989
Nick Faldo
283
1990
Nick Faldo
278
1991
lan Woosnam
277
Fred Couples
Bernhard Langer
José Maria Olazábal
1992
275
1993
277
1994
279
1995
Ben Crenshaw
274
1996
Nick Faldo
276
1997
Tiger Woods
270
1998
Mark O'Meara
279
José Maria Olazábal
Vijay Singh
Tiger Woods
Tiger Woods
1999
280
2000
278
2001
272
2002
276
2003
Mike Weir
281
2004
Phil Mickelson
279
2005
Tiger Woods
Phil Mickelson
276
2006
281
2007
Zach Johnson
289
2008
Trevor Immelman
280](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98135284-c346-4376-bc17-d1abc115edde%2Ff4ebabb5-12ff-4ea5-afd5-ff44843c6d9a%2Fkw1kf2e_processed.png&w=3840&q=75)
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