Investigate Distributions with Graphs – Availability Ends,For this task, write a paper using the following structure: • Begin with a one or two-paragraph introduction that summarizes the meaning of the reading material. • Answer all of the questions incl

For this task, write a paper using the following structure:
• Begin with a one or two-paragraph introduction that summarizes the meaning of the reading material.
• Answer all of the questions included in Parts 1 and 2 below. Be sure to answer questions using complete sentences and show all work in your calculations.
• Provide a written conclusion, when appropriate, for the problem that you are addressing. The last part of your paper should include a paragraph or two that explains the information that you learned in the assignment. Support your paper with at least two references.
Part 1
1. Explain the difference between a categorical variable and a quantitative variable.
2. Explain what is meant by the term distribution of a variable.
3. Determine the difference between a pie chart, a bar chart, and a histogram.
4. List different properties one can use when describing the shape of distribution.
5. Here are the exam scores of 10 students in a statistics class: 50 35 41 97 76 69 94 91 23 65. Create a stem plot for this data set. Use the tens digits as the stem.
6. Describe a time plot and explain when it is appropriate.
Part 2
1. Among persons aged 15 to 24 years in the United States, the leading causes of death and the number of deaths in 2011 were: accidents, 12,032; suicide, 4688; homicide, 4508; cancer, 1609; heart disease, 948; and congenital defect 429.

a) Use Excel to make a bar graph to display this data.
b) Suppose that the number of deaths due to all other causes is 5,786. Use Excel to create a pie chart for this data set. 
2. The sales manager at a certain company is trying to decide how much of the budget to allocate for sales personnel for the upcoming year. Typically, sales costs run about 15% of Sales. To help develop an estimate, the sales manager studies sales (in millions $) during the past 2 years at company X, which are given in the table below.

Month Sales
January 390
February 205
March 270
April 245
May 320
June 290
July 299
August 345
September 326
October 355
November 359
December 371
January 368
February 358
March 345
April 380
May 391
June 403
July 410
August 430
September 410
October 415
November 310
December 450

a) Use SPSS to create a histogram for sales. Use class widths of 25 and begin with 225. The class endpoints should be 225, 250, 275, …, 450.
b) Create a time plot for this data. The horizontal axis should indicate the month. 
3. A group of doctors were interested in testing diets intended to lower blood pressure. Before they began their experiment, they randomly selected a group of 50 people and determined their BMI. The results are provided below.

a) Use classes with endpoints 15, 16, 17, … , 34 and count the number of people in each class.
b) Use SPSS or Excel to create a bar chart for this summarized data. Make the gap width zero to obtain a histogram. Copy and paste your chart into your Word document.
c) Describe the shape of the histogram.

Subject BMI Percent Fat
1 21.95 28.7
2 27.75 32.3
3 25.09 25.8
4 19.23 19.6
5 19.60 22.4
6 20.31 26.4
7 22.29 32.7
8 28.65 33.5
9 19.47 23.4
10 21.44 21.8
11 26.85 37.1
12 21.88 30.9
13 23.90 36.3
14 21.54 29.8
15 22.61 31.9
16 18.91 21.6
17 18.46 24.6
18 17.05 20.5
19 17.70 24.6
20 16.61 18.1
21 16.94 22.9
22 18.77 26.2
23 18.39 27.2
24 17.86 17.7
25 17.98 20.8
26 15.37 17.5
27 18.84 21.3
28 15.82 18.7
29 17.71 28.8
30 14.99 17.1
31 16.75 26.2
32 16.46 20.4
33 15.87 19.5
34 18.08 21.7
35 15.58 18.1
36 17.15 29.8
37 15.82 20.6
38 18.61 22.9
39 16.66 19.3
40 20.83 27.9
41 24.56 36.4
42 20.19 25.1
43 24.13 39.7
44 20.86 33.6
45 33.57 46.8
46 29.14 38.9
47 26.17 36.7
48 31.46 38.5
49 19.08 23.3
50 23.54 35.9

4. The monthly return of a stock is the change in its market price plus any dividends received during the month. The figure below provides a histogram of the monthly returns of a hypothetical stock for Company ABC.

a) Describe the overall shape of this distribution.
b) Indicate the approximate center of this distribution.
c) Determine the largest, approximate, monthly return range.
d) Indicate the most likely interval of returns.

5. Go to the Pew Research website and find an article supported by a visual presentation of data that you find interesting.
a) Write an essay that describes the main points of the article.
b) Describe how the data is presented. Explain the type of graph that is used and the specific information that is illustrated by the graph. 
Length: 5 – 7 pages
References: Include a minimum of two scholarly peer-reviewed resources.

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