Chapter 1 Project
Mr. Sidanycz
Major League Baseball, (2005). Stat: Mark McGwire 1b. Retrieved Apr.
04, 2006, from ML:B.com Web site:
http://mlb.mlb.com/NASApp/mlb/stats/historical/player_locator_results.j
sp?c_id=mlb&playerLocator=McGwire.
Mark McGwire’s Batting
Average
.187
.189
.201
.231
.235
.252
.253
.260
.268
.274
.278
.284
.289
.299
.305
.312
.333
Mean = .262
Standard Deviation = .043
Minimum = .187
Quartile 1 = .233
Median = .268
Quartile 3 = .294
Maximum = .333
Range = .333 - .262 = .071
Box Plot of Mark McGwire’s Batting Averages
OR
Histogram of Mark McGwire’s Batting Averages
Frequency Table
.187 - .2161
.2162 -.2453
.2454 -.2745
.2746 -.3037
.3038 - .3329
.3330 - .3621
3
2
5
4
2
1
Window:
X[.187, .3622].0292
Y[-1.50345, 5.85]1
The distribution of Mark McGwire’s batting
averages is very symmetrical, because the mean
and median are exactly the same to 2 decimal
places. Since, the data is so symmetric we
would use the mean and standard deviation to
describe it.
Mean = .262
Standard Deviation = .043
Outliers:
IQR = .294 - .233 = .061
IQR x 1.5 = .61 x 1.5 = .0915
Q1 – (IQR x 1.5) = .233 - .0915 = .1415
Q3 + (IQR x 1.5) = .294 + .0915 = .386
Window:
X[.1724, .3476]1
Y[-2.415675…,2.4156757…]1
If there were any outliers they would fall below
.1415 and above .386. Since there are no
numbers that fall in this range there is no need to
explain what would have caused the outliers
because there are no outliers.