Project #81059 - STAT225

 

(For Questions 1, 2, & 3) There are 31 participants in a special high-adventure camp at Goshen Scout Camp last September. Following is a list of the age of the participants. 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. (6 points) Prepare a frequency distribution of the participants' ages with a class width of 2 years, and another with a class width of 5 years.

2. (5 points) Construct a histogram of the participants' age with a class width of 2 years and another with a class width of 5 years. What can we say about the choice of class width?

3. (5 points) Give a 5-number summary of the ages of the participants, and construct the corresponding boxplot.

(For Questions 4 & 5) Below please find a hypothetical (imaginary) data set for the enrollment number in our three statistics classes over the pastfew years. Please note that STAT 225 was not in existence until the fall of2006.

 

 

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. (7 points) There are many graphical formats to illustrate a given data set. However, some formats are better than others in the sense that they convey important and relevant information in the given data set. For the given data set, pick the most appropriate graphic format to present the above data set, and plot the given data. Feel free to process the data set and/or include additional information you can deduce from the data set that you think can be useful to make your point.

5. (6 points) At times, there may be unwarranted features in the plots you come up with, even though they are true representation of the given data. We may call that data noise, and it will distract us fromconveying essential information in the data set. Do you encounter this situation in your plot? If so, what would you do to minimize distractions without misrepresenting the data?

(For Questions 6, 7, & 8) I have a collection of 5 ancient gold coins. Their weights, in ounces, are 23.1, 18.6, 33.5, 12.4, and 27.1.

6. (2 points) What is the mean weight of my ancient gold coins?

7. (2 points) How do you consider this collection, a population or a sample? Why?

8. (2 points) What is the variance and standard deviation in weight of my coin collection?construct the corresponding

boxplot

Subject Mathematics
Due By (Pacific Time) 09/06/2015 11:59 pm
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