Problem I - [30 points] write first name, middle name, and last name in capital letters. The letters involved insample name would comprise the data set.

1.Write data in order from A to Z and double check.

Letters in order with existing repetitions:

E ITUW

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

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

3.What level (scale) of measurement is applicable tothe data (nominal, ordinal, interval, ratio)? Support the answer briefly.

4.Is the data set a sample or a population? Support the answer briefly.

5.Considering the answer to the previous question, show the size of the data set under consideration using the appropriate symbol in statistics: n = ...orN = ... ..

6.What is (are) the mode(s) with the data set, if any?

is thedata set unimodal, bimodal, trimodal, ...?

What is the frequency of the mode(s)?

7.[ 8 points, out of the 30 points total for Problem I] Construct a complete, six-column "Frequency Distribution Table" forthe data from Part (1) above.You should choose a descriptive title forthe table and use the following headings forthe table columns:

Letter, Frequency (F), Relative Frequency (RF), Cumulative Frequency (CF), Percent Relative Frequency (PRF), Cumulative Percent Relative Frequency (CPRF).

While populating the table, whenever a numerical value is not a whole number, present the value in decimal format with two decimal places, after rounding the value correctly.Please check the table to make sure that the values are correct.The total under F should be the data set size. Depending on the extent of round-off error(s), the total under RF should be 1, or very close to 1; the last value under CF should be the data set size; the total under PRF should be 100%, or very close to 100%; and the last value under CPRF should be 100%, or very close to 100%.

8.Using the frequency distribution table created in the previous part, and, preferably, hand drawing on (graph) paper (show work, in case you use technology),

(a)Construct a bar chart for the Frequency distribution, preferably a Pareto Bar Chart (See the NOTE below)

(b)Construct a bar chart for the PRF distribution, preferably a Pareto Bar Chart (See the NOTE below)

(c) Comparethe F distribution with the PRF distribution.Briefly explainthe finding(s).

NOTE: You may do Parts (a) and (b) displaying the categories from highest F (or PRF) to lowest F (or PRF) from left to right; the resulting bar chart is called a "Pareto Bar Chart."

Also, please note that each bar chart must have a descriptive title, and the x and y axes must have descriptive labels.

(d)Construct a pie chart with descriptive title and legend to graphically display the PRFs; show the basis for the "exact" size of each "slice" of the "pie," noting that a full circle is 360 degrees. (In case you use technology to produce the pie chart, show some calculations to demonstrate that you know what is involved in finding the share of each category from the whole circle.)

(e)Draw an ogive with descriptive title and labels, using an appropriate column ofthe table.Please do not forget descriptive labels for the x and y axes