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STAT 200 QUIZ 1 Summer 2020

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STAT 200 QUIZ 1 Summer 2020 NAME: I have completed this assignment myself, working independently and not consulting anyone except the instructor. INSTRUCTIONS • There are four problems (on four pages), the last one being actually a single question; the first three problems have mul...

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  • March 22, 2022
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STAT 200 QUIZ 1 Summer 2020

NAME:
I have completed this assignment myself, working independently and not consulting anyone
except the instructor.

INSTRUCTIONS

• There are four problems (on four pages), the last one being actually a single question; the first
three problems have multiple parts. On average, each part or subpart of each problem is worth about
3 points for a total of 100 points, comprising 12% (or 60/500) of your final course grade. This quiz
is open book and open notes. This means that you may refer to your textbook, notes, and online
classroom materials, but you must work independently and may not consult anyone (and confirm
this with your submission). You may take as much time as you wish, provided you turn in your quiz
no later than 11:59 PM (US Eastern Time Zone) Sunday, June 5, 2016.
• Show work/explanation. Answers without any work may earn little, if any, credit. You may
type or write your work in your copy of the quiz, or if you prefer, create a document containing
your work. Scanned work is acceptable also; a single file in pdf format is preferred. In your
document, be sure to include your name and the assertion of independence of work.
• If you have any question, please post it in “Ask the Professor” discussion on LEO if the answer
to your question would benefit others in class; otherwise, please contact me privately via e-mail.

Please read the problems/questions very carefully.

Problem I - Write your first name, middle name, and last name in capital letters. The letters
involved in your full name would comprise your data set. In case you do not have a middle name, or
you do not want to include your real middle name, make one up. Then, do the following

1. Write your data in order from A to Z and double check. For example, the student
whose complete name is First Middle Last would have

ADDEFIILLMRS STT

Your full name: ………………..
Letters in order with existing repetitions:


2. What is the type of your data? Circle, or list, all that apply:

Numerical, continuous, discrete, categorical, non-numerical, quantitative, qualitative

3. What is the size of your data set? The size is 17

4. What level (scale) of measurement is applicable to your data (nominal, ordinal, interval, ratio)?
Support your answer briefly. Since the data consists of letters involved in one's full name that
are listed in an order from A to Z, the scale of measurement is ordinal.

, 5. Is the word “range,” with its actual definition in statistics, applicable to your data set? How
can you say something about your data involving “range” in your statement, anyway?

The word “range” with its actual definition in statistics is not applicable to our data set, as our data set
is qualitative not quantitative. However, we could define the "range" of our data set to number of
letters in the alphabet table between the first and last letters. In our example, since the first letter is
``A" and the last letter is ``Z", and there are 24 letters (B-Y) between ``A" and ``Z". So, we could say
that ``There are 24 letters between the first and last letters in our data set".


6. Is your data set a sample or a population? Support your answer briefly.
Our data set is a sample, as the population is the set of letters in alphabetical order of all people's full
names.

7. Depending on your answer to Question 6 above, and recalling what we said in class, what is the
correct notation to show the size of your data set in statistics?
Since our data set is a sample, we shall use “n” to denote the sample size. So, the sample size of
our data set is n=17.

8. What is (are) the mode(s) within your data set, if any? Is your data set unimodal, bimodal,
trimodal, …?
As the letters “O” and “L” occur most often with frequency of 3, the modes are “O” and
“L”. So, our data set is bimodal.

9. What is the frequency of the mode(s)?
The frequency of the Modes “O” and “L” are 3.

10. Recalling the example discussed in class or provided in your eTextbooks, construct a “Frequency
Distribution Table,” a three-column frequency distribution table. You should choose a title for your
table and use the following headings for your table columns:

Letter, Frequency (F), Relative Frequency (RF), and Cumulative Frequency (CF).



Letter Frequency (F) Relative Cumulative
Frequency (RF) Frequency (CF)

A 2 0.118 2

C 1 0.059 3

D 1 0.059 4

E 2 0.118 6

I 1 0.059 7

J 1 0.059 8

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