(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?
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