Project #72666 - STAT225

(For Questions1,2,&3)There are 31participants in a specialhigh-adventurecamp at Goshen Scout Camp last September.Following is a listof the ageoftheparticipants.

 

16,18, 13, 24, 17,17, 18, 14, 14, 16, 14, 20, 22, 21, 15

11, 13, 26, 27, 13, 16, 17, 17, 14, 19, 15, 17,16,19,19,28

 

 

1.    (7 points)Preparea frequencydistribution of the participants'ages with a classwidthof2 years, andanother with class width of 5 years.

 

 

 

 

2.    (6 points)Constructa histogramof theparticipants' agewith a class widthof2years and another with a class width of5 years.What can we sayaboutthe choiceof class width?

 

 

 

 

3.    (5 points)Give a 5-number summaryoftheages of the participants, andconstructthe corresponding boxplot.

 

 

 

 

(For Questions4 & 5)Belowplease find ahypothetical (imaginary) data set fortheenrollment number inour threestatistics classes overthepast few

years.PleasenotethatSTAT 225 was not in existence untilthefallof2006.

 

 

STAT 200

STAT 225

STAT 230

Spring 2006

335

-----

388

Summer

191

-----

178


 

2006

 

 

 

Fall 2006

404

141

445

Spring 2007

406

154

463

Summer2007

225

43

218

Fall 2007

308

129

352

Spring 2008

320

81

314

Summer2008

196

42

156

Fall 2008

324

80

347

Spring 2009

375

92

332

Summer2009

233

50

204

Fall 2009

406

112

334

Spring 2010

432

114

336

Summer2010

230

49

203

Fall 2010

414

121

317

Spring 2011

498

119

318

Summer2011

250

55

174

Fall 2011

544

140

196

Spring 2012

554

166

365

Summer2012

317

82

185

Fall 2012

546

168

372

Spring 2013

643

134

312


4.    (9 points)There aremanygraphical format toillustrate a given dataset.However,some formats are better than others in thesensethattheyconveyimportant and relevantinformationinthe given dataset.Forthe given dataset,pickthe most appropriate graphic format topresent the abovedata set,and plot thegiven data.Feel freetoprocessthedata set and/orinclude additional informationyou can deduce fromthedata setthat you think canbeuseful make yourpoint.

 

 

5.    (7 points)At times, there maybe unwarranted featuresintheplots you comeup with, eventhoughtheyare true representationof thegiven data.Wemaycallthatdata noise, anditwilldistract us fromconveying essential information in thedata set.Do you encounter thissituationin your plot?  Ifso, what would you do tominimize distractionswithout misrepresenting thedata?

 

 

 

 

 

 

(For Questions6,7,&8)I have a collectionof5ancientgold coins.Theirweights, in ounces, are 23.1, 18.6,33.5, 12.4, and 27.1.

 

 

6.    (2 points)What isthemean weight ofmy ancient gold coins?

 

 

7.    (2 points)Howdo you consider this collection, a population orasample?  Why?

 

 

8.    (2 points)What isthevariance andstandard deviationin weight of my coincollection?

Subject Mathematics
Due By (Pacific Time) 06/03/2015 12:00 am
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