# 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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