# Stat 200 quiz 01 | Mathematics homework help

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(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. (7 points) Prepare a frequency distribution of the participants’ ages with a class
width of 2 years, and another with class width of 5 years.

2. (6 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. (4 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 past few
years. Please note that STAT 225 was not in existence until the fall of 2006.
STAT 200 STAT 225 STAT 230
Spring 2006 335 —– 388
Summer 191 —– 178
2006
Fall 2006 404 141 445
Spring 2007 406 154 463
Summer
2007 225 43 218
Fall 2007 308 129 352
Spring 2008 320 81 314
Summer
2008 196 42 156
Fall 2008 324 80 347
Spring 2009 375 92 332
Summer
2009 233 50 204
Fall 2009 406 112 334
Spring 2010 432 114 336
Summer
2010 230 49 203
Fall 2010 414 121 317
Spring 2011 498 119 318
Summer
2011 250 55 174
Fall 2011 544 140 196
Spring 2012 554 166 365
Summer
2012 317 82 185
Fall 2012 546 168 372
Spring 2013 643 134 312
4. (7 points) There are many graphical format 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 make your point.

5. (5 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 from conveying 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?

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