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What is Statistics
GOALS ,[object Object],[object Object],[object Object],[object Object],[object Object]
What is Meant by Statistics? ,[object Object]
Who Uses Statistics? ,[object Object]
Types of Statistics – Descriptive Statistics ,[object Object],[object Object],[object Object],[object Object]
Population versus Sample A  population   is a  collection  of all possible individuals, objects, or measurements of  interest.  A   sample   is a  portion , or part, of the population of interest
Types of Variables   ,[object Object],[object Object],[object Object],[object Object]
Quantitative Variables - Classifications ,[object Object],[object Object],[object Object],[object Object],[object Object]
Summary of Types of Variables
Four Levels of Measurement ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Summary of the Characteristics for Levels of Measurement
Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation
GOALS ,[object Object],[object Object],[object Object],[object Object]
Bar Charts
Pie Charts
Pie Chart Using Excel
Frequency Distribution ,[object Object]
Frequency Table
Relative Class Frequencies ,[object Object],[object Object]
Frequency Distribution ,[object Object],[object Object],[object Object]
EXAMPLE – Creating a Frequency Distribution Table Ms. Kathryn Ball of AutoUSA wants to develop tables, charts, and graphs to show the typical selling price on various dealer lots. The table on the right reports only the price of the 80 vehicles sold last month at Whitner Autoplex.
Constructing a Frequency Table - Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],Constructing a Frequency Table - Example
[object Object],[object Object],Constructing a Frequency Table
Relative Frequency Distribution To convert a frequency distribution to a  relative  frequency distribution,  each of the class frequencies is divided by the total number of observations.
Graphic Presentation of a Frequency Distribution ,[object Object],[object Object],[object Object],[object Object]
Histogram Histogram  for a frequency distribution based on quantitative data is very similar to the bar chart showing the distribution of qualitative data. The classes are marked on the horizontal axis and the class frequencies on the vertical axis. The class frequencies are represented by the heights of the bars.
Histogram Using Excel
Frequency Polygon ,[object Object],[object Object]
Cumulative Frequency Distribution
Cumulative Frequency Distribution
Describing Data: Numerical Measures Chapter 3
GOALS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Characteristics of the Mean ,[object Object],[object Object],[object Object],[object Object],[object Object]
Population Mean ,[object Object]
EXAMPLE – Population Mean
Sample Mean ,[object Object]
EXAMPLE – Sample Mean
Properties of the Arithmetic Mean ,[object Object],[object Object],[object Object],[object Object],[object Object]
Weighted Mean ,[object Object]
EXAMPLE – Weighted Mean The Carter Construction Company pays its hourly employees $16.50, $19.00, or $25.00 per hour. There are 26 hourly employees, 14 of which are paid at the $16.50 rate, 10 at the $19.00 rate, and 2 at the $25.00 rate. What is the mean hourly rate paid the 26 employees?
The Median ,[object Object],[object Object],[object Object]
Properties of the Median ,[object Object],[object Object],[object Object],[object Object]
EXAMPLES  - Median ,[object Object],[object Object],[object Object],[object Object],[object Object],The heights of four basketball players, in inches, are:  76, 73, 80, 75 Arranging the data in ascending order gives:  73, 75, 76, 80 .  Thus the median is 75.5
The Mode ,[object Object]
Example - Mode
Mean, Median, Mode Using Excel Table 2–4 in Chapter 2 shows the prices of the 80 vehicles sold last month at Whitner Autoplex in Raytown, Missouri. Determine the mean and the median selling price. The mean and the median selling prices are reported in the following Excel output. There are 80 vehicles in the study. So the calculations with a calculator would be tedious and prone to error.
Mean, Median, Mode Using Excel
The Relative Positions of the Mean, Median and the Mode
The Geometric Mean ,[object Object],[object Object],[object Object],[object Object],[object Object]
EXAMPLE – Geometric Mean ,[object Object]
EXAMPLE – Geometric Mean (2) ,[object Object]
Dispersion ,[object Object],[object Object],[object Object],[object Object]
Samples of Dispersions
Measures of Dispersion ,[object Object],[object Object],[object Object]
EXAMPLE – Range ,[object Object],Range = Largest – Smallest value = 80 – 20 = 60
EXAMPLE – Mean Deviation ,[object Object]
EXAMPLE – Variance and Standard Deviation ,[object Object]
EXAMPLE – Sample Variance ,[object Object]
Chebyshev’s Theorem ,[object Object]
The Empirical Rule
The Arithmetic Mean of Grouped Data
[object Object],The Arithmetic Mean of Grouped Data - Example
The Arithmetic Mean of Grouped Data - Example
Standard Deviation of Grouped Data
Standard Deviation of Grouped Data - Example ,[object Object]
End of Chapter 3
Describing Data:  Displaying and Exploring Data Chapter 4
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],GOALS
Dot Plots ,[object Object],[object Object],[object Object]
Dot Plots - Examples ,[object Object]
Dot Plot – Minitab Example
Stem-and-Leaf ,[object Object],[object Object],[object Object],[object Object]
Stem-and-Leaf – Example ,[object Object],[object Object],[object Object]
Stem-and-leaf: Another Example ,[object Object]
Stem-and-leaf: Another Example
Stem-and-leaf: Another Example (Minitab)
[object Object],[object Object],[object Object],Quartiles, Deciles and Percentiles
[object Object],[object Object],[object Object],Percentile Computation
Percentiles - Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Percentiles – Example (cont.) ,[object Object],[object Object],[object Object],[object Object],[object Object]
Percentiles – Example (cont.) ,[object Object]
Percentiles – Example (Minitab)
Percentiles – Example (Excel)
Boxplot - Example
Boxplot Example
Boxplot – Using Minitab ,[object Object]
Skewness ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Skewness - Formulas for Computing ,[object Object],[object Object],[object Object],[object Object]
Commonly Observed Shapes
Skewness – An Example ,[object Object],[object Object]
Skewness – An Example Using Pearson’s Coefficient
Skewness – A Minitab Example
Describing Relationship between Two Variables ,[object Object],[object Object]
Describing Relationship between Two Variables – Scatter Diagram Examples
[object Object],[object Object],Describing Relationship between Two Variables – Scatter Diagram Excel Example
Describing Relationship between Two Variables – Scatter Diagram Excel Example
Contingency Tables ,[object Object],[object Object]
Contingency Tables – An Example ,[object Object]
End of Chapter 4

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