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# Statistical Figures

Statistical figures are frequently used in statistics to present data in an illustrative format, which clearly communicates the results in an interpretable manner, in which patterns can be emphasized. Often, figures can focus on particular aspects of a data set which are important, but hard to notice when only analyzing the raw data in basic numerical form. Therefore, understanding how to construct different graphical figures is imperative to being successful in expressing statistical data effectively.

There is a multitude of different statistical figures which are taught in statistics because depending on the nature of the data or hypothesis being tested, different figures are more appropriate than others. Figures range from being fairly basic such as bar charts and scatter plots, to more complex such as box plots and pareto charts, which require several calculations to be computed so that the graph can be completed. Other graphics, such as histograms or control charts, are most often used in particular cases. A histogram is utilized to represent a frequency distribution and control charts are commonly utilized when graphing manufacturing processes.

Furthermore, when presenting statistical data and results to the general public, for example in a journal publication, the use of statistical graphics is particularly powerful. It is more likely that statistical figures will be able to get the take home message across, in comparison to the original raw data tables. The application of statistical figures extends well beyond the classroom and evidently, is integral to communication in the discipline of statistics.

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## Categories within Statistical Figures

### Bar Chart

Solutions: 3

A bar chart is a statistical diagram which compares the numerical values for different categories through the use of either horizontal or vertical bars.

### Pie Chart

Solutions: 14

A pie chart is used to display categorical data as the area of divided sectors in a circular figure, representing each category as a proportion of the whole.

### Pareto Chart

Solutions: 11

A pareto chart is a special type of bar graph, which incorporates the use of a line graph to represent the cumulative total of all the units being measured.

### Box Plot

Solutions: 28

A box plot provides an illustrative representation of the differences between groups by graphing the numerical data for each group using quartiles.

### Control Chart

Solutions: 68

A control chart is used to measure the statistical control associated with manufacturing processes and thus, plots the lower and upper control limits to measure deviations from the controlled state.

### Histogram

Solutions: 68

A histogram is used in statistics to represent visually a frequency distribution for different category boundaries, through the construction and juxtaposition of rectangular bars.

### Q-Q Plot

Solutions: 0

A quantile-quantile plot is used when considering populations with a common distribution and is used to analyze two probability distributions against each other.

### Scatter Plot

Solutions: 42

A scatter plot is utilized to depict the relationship between two variables and can analyze whether a cause-and-effect relationship exists.

### Stemplot

Solutions: 28

A stemplot also referred to as a stem-and-leaf display, functions to provide in graphical form the shape and spread associated with a set of quantitative data.

### Exam grades: Measures of Center

The exam grades for a MAT 143 midterm exam are given below. The professor is trying to determine if she should curve the grades or not. The professor wishes to find the best measure of center to represent the exam scores so that she can make an informed decision. Consider the various measures of center and scenarios when each

### Descriptive Statistics Exercises

I. Answer the following questions using the table and data below: a. What is the mean age of this sample? What is the standard deviation? b. Create a frequency distribution table for denomination. Denomination Frequency Percent Valid Percent Cumulative Percent Valid Episcopal 1 5.0 5.0 5.0 Lutheran 2 10.0 10.0 15.0 P

### Business Statistics of Age and Health Correlations

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### Ratio rate and analyzing difference between probability

INTRODUCTION TO STATISTICAL THINKING Directions: Complete the following questions. The most important part of statistics is the thought process, so make sure that you explain your answers, but be careful with statistics. The following statistics/probability problems may intrigue you and you may be surprised. The answers are n

### Control Charts

Demonstrate your understanding of Control Charts as related to Apple Inc. How can control charts help Apple? Which chart would they use, R Chart, C Chart, X-bar Chart or other charts?

### Making an XBar Control Chart with Excel

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### Three methods of statistical inference

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### The solution gives detailed steps on performing a goodness of fit test for Endotoxin levels. All formula and calculations are shown and explained.

I need detailed steps to complete this problem by hand. 3. An investigator wants to test if there is a difference in endotoxin levels in children who are exposed to endotoxin as a function of their proximity to operating farms. The following are endotoxin levels in units per milligram of dust sampled from children's mattres

### Control Charts: Plotting and Calculating

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### Estimating the Cost of Optical Sensors Based on the Resolution of the Sensor

1. Compute the price elasticity of demand for paint and show your calculations. Price Elasticity of Demand (PEoD) = (% CHANGE IN QUANTITY DEMANDED) / (% CHANGE IN PRICE) Price Quantity Demanded \$3.50 20 Gallons \$3.00 35 Gallons . PRICE OLD = \$3.00 PRICE NEW = \$3.50 Q DEMAND OLD = 35 GALLONS Q DEMAND NEW = 20 G

### Stats and Financial Analysis

Need to understand these statistics questions. The question involve scatter diagrams, correlation coefficients, ANOVA tables, mean absolute deviation, revenue and cost functions, maximizing profits, and payoff tables.

### Wilcoxon Signed-Rank Test

Please explain what a Wilcoxon signed-rank test is and explain how it is used in statistics (in layman's terms, please). Provide a specific example of this from the attached journal article.

### The solutions gives detailed discussion on some measurements of descriptive statistics. The topic includes DR, FFQ, quantiles and concordance. The conecpts, graphs and tables are put together for better understanding.

Problem 2.28 is what needs solved. 2.27 is provided for reference because the problem refers to it. Nutrition The food-frequency questionnaire (FFQ) is an instrument often used in dietary epidemiology to assess consumption of specific foods. A person is asked to write down the number of servings per day typically eaten

### R- and x-Bar Charts

Please see the attached document for proper formatting. 1. Thermostats are subjected to rigorous testing before they are shipped to air conditioning technicians around the world. Results from the last five samples are shown in the table. Draw and R Chart and an x-bar chart. Based on the charts, is the process under control?

### Non-conformities

See attached for table. 1. The data in the following table (see attached) is the number of nonconformities (defects) per 1,000 meters in 22 samples of telephone cable found by the Bell source inspector at a cable manufacturing facility. (a) Create the appropriate control chart for these data. (b) From the control char

### Examples of Bar, Line and Circle Graphs that are encountered on a daily basis, or a general profession

Search the Internet to find three applications of statistical concepts that you find interesting, that you encounter on a daily basis, or that you find in your profession. 1. Circle Graph (a) Find an example of a circle graph in the newspaper or periodical articles or on the internet. (b) Briefly explain what the graph show

### Christian Pie Chart

Review the Christian year pie chart and write a summary in which you (a) describe the significance of the holy days on the chart. and (b) identify any special rituals, symbols, or activities associated with the holy days.

### Statistical Quality Control: Colonel Electric

Colonel Electric is a large company that produces lightbulbs and other electrical products. One particular lightbulb is supposed to have an average life of about 1,000 hours before it burns out. Periodically the company will test 5 of these and measure the average time before these burn out. The following table gives the resu

### Statistical Interference Problem

Let X1, X2 be iid ~ U(0,1) with fx1, x2(x1, x2) = I[0,1](x1)I[0,1](x2) Define U = U1 and U2 = x1 + x2 and x1 - x2 Find fU(u) where u = (u1, u2)^T. Some graphs might be helpful. It might be easiest to indicate the new support in terms of u1 + u2 and u1 - u2.

### Statistics Question: Lead Time for a Sample of Internet Orders

A large internet retailer is studying the lead time (elapsed time between the time when the order is placed and the time it is filed). The table below gives the lead times (in days) for a random sample of recent orders. 14 19 5 13 20 15 9 16 20 9 2 10 7 12 18 24 1 8 11 5 13 6 2 11 16 20 18 2 4 10 22 17 13 10 21 12 23 18

### Analyzing Data

The data set for our course is a sample of a survey conducted on the population of the American Inmate Union (AIU). It is available via the attachment: DataSet with DataSet Key, which contains the following nine sections of data that will be used throughout our course: Gender Age Type of Offense Prison Facility Length of

### Constructing a Relative Frequency Bar Graph and Pareto Diagram

Table: Insurance Companies 869 Pharmaceutical Companies 339 Government 338 Hospitals 127 Physicians 85 Other 128 Not at all sure

### Construct a pie chart for the data set in the given table.

Construct a pie chart for the data set in the given table. Step 1 is the compute the % of each category in the data set. The date represents the sales in millions of dollars of the leading candy brands. Company Sales in millions A 274 B 177 C 114

### A local children's boutique specializes in formal wear for young girls

A local children's boutique specializes in formal wear for young girls. It has recently hired a new seamstress. To assure the dresses have standard sizes, twenty samples of each 12 dresses that were labeled 3T were sampled. The average length from shoulder to hemline measured 21 inches with a range of 0.5 inches. A sample has ju

### Children's Boutique Control Chart

A local children's boutique specializes in formal wear for young girls. It has recently hired a new seamstress. To assure the dresses have standard sizes, twenty samples of each 12 dresses that were labeled 3T were sampled. The average length from shoulder to hemline measured 21 inches with a range of 0.5 inches. A sample has ju

### Statistical Process Control Assignment

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### Financial Reporting- please pick 6 states and compare uncompensated care expenses

Review the 2010 HCA Annual Investment by State Report at: http://hcagovernmentrelations.com/utility/forms/investment-by-state2010.pdf Complete the following: - Pick 6 states to compare uncompensated care expenses. - Develop a graph to display your results. - As a healthcare manager within one of HCA's facilities, sug

### What is the sample size?

Below are the X-bar and R values for five samples. If the lower control limit for the X-bar chart is 8.34, what is the sample size? See attachment for values.

### X-bar and R chart

Please read the following situation and provide a solution. Please post the solution in a Microsoft Word format. A Starbucks manager decides to study waiting times of customers for service at the lunch time rush hour 1100-1200. He observes three customers to measure the time the customer enters the line to the time he or s

### Create a bar graph and place the above data in a bar graph.

3) Use the following data to construct a bar chart. Job categories Clerical (5) Management (4) Maintenance (6) Professional (2) Unemployed (1) 5 4 6 2 1 Create a bar graph and place the above data in a bar graph.