STA2023 Application 1 (2016-17) 1

STA2023 Application 1: Sample Data and Descriptive Statistics The completed application should be submitted to the Assignments link in Falcon Online. Purpose: The purpose of this assignment is to organize a random sample of data values and create statistics, tables, and a graph based on the data. The information will then be analyzed in a written summary. Part 1: Introduction Write an introduction to this application. Discuss the random variable and the source of the sample data. Refer to the textbook or class notes to describe the basic components of the application and the statistical concepts that are applied. The introduction should be at least 50 words and be written with proper grammar and spelling. (See Formatting paragraph at the end) Part 2: Collect and Organize Random Data Values and their Summary Statistics Methods: Use Excel (or similar software) to create the tables and graph. Then copy the items and paste them into a Word document. The tables should be formatted vertically, have borders, and be given the labels and titles stated in the assignment. The proper symbols should be used. Do not submit this assignment as an Excel file. The completed assignment should be a Word (or .pdf) document. 1. All relevant information is posted in the course website (Falcon Online). The data sets will be in the Applications folder. Choose one data set to work with. 2. Use technology (Excel, graphing calculator, etc.) to sort the 40 sample data values from low to high. Use Excel or similar software to put the data into a table with 4 columns and 10 rows. Label this “Table 1: Sorted Set of Sample Data.” 3. Using 5 to 10 class intervals, organize the sample data as a frequency distribution in a table. The intervals of the frequency distribution should be rounded to the tenths so that they match the data. Label this “Table 2: Frequency Distribution.” 4. Use Excel (or similar software) to construct a frequency histogram to illustrate the data. Give the axes the proper titles. Label this “Graph 1: Histogram.” 5. Use technology to find the mean, median, standard deviation, and variance of the sample data organized in Table 1. Put these values into a table with the proper symbol in the left column and the value of the statistic in the right column. Also put the values of the range and sample size in the table. The median and range do not generally have symbols so the terms “Median” and “Range” can be used in the left column. The statistics should be rounded properly (one more decimal place than the data). Label this “Table 3: Statistics from the Frequency Distribution.”

STA2023 Application 1 (2016-17) 2

6. Use the sample mean and standard deviation to find the minimum and maximum usual values (the boundaries for outliers). Put these values in a table with the proper symbol(s) in the left column and the values in the right column. Label this “Table 4: Minimum and Maximum Usual Values.” Part 3: Summary Write a summary of the application, considering the following topics. The summary should be at least 150 words and be written with proper grammar and spelling. Refer to the tables and graph (by label and number) throughout the summary. Connect the statistical information to the population that is being studied. Use the proper statistical terms and symbols in the summary. Write about the concepts in the application rather than the steps followed.

 Discuss the difference between population and sample values.  Describe the features of the histogram, including the shape of the distribution.  Discuss measures of center and variation as related to the sample data and the random

variable  Discuss characteristics of the sample data such as outliers and skewness, providing

support and examples. Use both the histogram and measures of center to identify whether there is skewness.

 Explain what these reveal to us about the population that is being studied. Part 4: Format Requirements

 Include a title page with your name, STA2023 Application 1, the word count for the introduction, the word count for the summary, and which data set is used.

 The introduction and summary should be written in paragraphs that are typed and double-spaced, with 1-inch margins and a readable font type and font size. The preferred font size could be 12 Times New Roman.

 The introduction by itself should be at least 50 words.  The summary should be at least 150 words.  The introduction and summary should be college-level writing with proper grammar and

spelling. Do not use first or second person (I, you, etc.).  Do not write about the parts of the assignment or the use of a calculator or excel to

complete steps in the application. Write about the concepts used in the application.  Throughout the introduction, tables, graph, and summary, proper statistical symbols and

terms should be used.  The tables should be formatted vertically, have 2 columns, have borders, and be given

the labels and titles stated in the assignment.  The title page, introduction, tables, graphs, and summary should be a single document

(.doc, .docx, or .pdf) which is submitted to the Assignments link in Falcon Online by the due date.

STA2023 Application 1 (2016-17) 3

 Assemble the application in the following order to create a single document. o Title page o Introduction o Tables and Graph o Summary

Part 5: Grading: Application 1 is worth up to 36 points, based on the following criteria.

 The statistical content (Part 2) is worth up to 12 points, based on completion of all the listed requirements.

 The introduction and written summary (Part 1 and 3) are worth up to 12 points, based on completion of all the listed requirements.

 The format (Part 4) of the complete document submitted to the Assignments link is worth up to 12 points, based on completion of all the listed requirements.

Rubric/allocation of 12 points:

 0 points for completing none of the requirements  3 points for attempting the requirements  6 points for completing some of the requirements  9 points for completing most of the requirements  12 points for completing all of the requirements