# 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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