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Descriptive Statistics
Practical Statistics Descriptive Statistics
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There are six statistics that will answer 90% of all questions!
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There six are: Descriptive
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There six are: Descriptive Chi-square
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There six are: Descriptive Chi-square Z-tests
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There six are: Descriptive Chi-square Z-tests t-tests
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There six are: 5. Correlation (association)
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There six are: 5. Correlation 6. Regression
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Descriptive Statistics
These are utilized to describe the characteristic of a population (parameter), or the characteristics of a sample (a statistic) Many business problems can be solved by knowing only descriptive statistics.
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Geodemography
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Geodemography
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Geodemography
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Descriptive Statistics
Simple counts: frequency
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Descriptive Statistics Simple counts: frequency
The amount of time (in seconds) needed for assembly-line workers to complete a weld was recorded for 40 workers. a. What is the frequency for each amount of time?
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Descriptive Statistics
Simple counts: histograms
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Open the file called WeldDat.sav
Do the following: Graphs Graphboard Template… Select WeldTime Select histogram with Normal… OK
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Descriptive Statistics
Simple counts: histograms
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Descriptive Statistics
Simple counts: ogive
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Descriptive Statistics Simple counts: ogive
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Symmetry
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Right Left
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Descriptive Statistics Back to the workers making welds…..
The amount of time (in seconds) needed for assembly-line workers to complete a weld was recorded for 40 workers. 25
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Descriptive Statistics Central tendency:
A single number to represent a group.
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Descriptive Statistics
The average is The standard deviation is 4.77. The amount of time (in seconds) needed for assembly-line workers to complete a weld was recorded for 40 workers. 27
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Descriptive Statistics Central tendency:
1. Mode The most frequent score.
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Descriptive Statistics Central tendency:
1. Mode 2. Median Half the numbers are larger, half are smaller.
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Descriptive Statistics Central tendency:
1. Mode 2. Median 3. Mean The center of gravity of a distribution
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Descriptive Statistics Central tendency:
1. Mode 2. Median 3. Mean Arithmetic Harmonic Geometric
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Descriptive Statistics Central tendency:
1. Mode 2. Median 3. Mean Arithmetic
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Descriptive Statistics Central tendency:
3. Mean Harmonic
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Descriptive Statistics Central tendency:
3. Mean Harmonic
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Descriptive Statistics Central tendency:
3. Mean Harmonic
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Descriptive Statistics Central tendency:
1. Mode 2. Median 3. Mean Harmonic
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Descriptive Statistics Central tendency:
1. Mode 2. Median 3. Mean Geometrical (For pure ratio numbers)
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Does pricing following perception or volume?
Geometric Mean: Does pricing following perception or volume? If a package holds twice as much should it be priced as twice that of a package that holds half as much?
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Problem: Customers do not perceive volume correctly.
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Geometric Mean: Does pricing following perception or volume? The perception of volume follows: Seven’s Law: How should this be done?
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Descriptive Statistics Measure of Variation:
Again a single number to represent a group.
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Descriptive Statistics
Measure of Variation: Range a. (Highest – Lowest) + 1 b. Subject to deviancy
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Descriptive Statistics
Measure of Variation: Range Mean Deviation a. Problem: Variation logically would be the average deviation around a measure of central tendency.
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Descriptive Statistics Measure of Variation: Range Mean Deviation
a. Problem: But… Always!!
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Descriptive Statistics
Measure of Variation: Range Mean Deviation a. Problem: So negative can be removed by looking at the absolute value.
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Descriptive Statistics
Measure of Variation: Range Mean Deviation a. Problem: Negative can be removed by squaring the value.
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Descriptive Statistics
Measure of Variation: Range Mean Deviation a. Problem: This is the definition of: 3. Variance
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Descriptive Statistics Measure of Variation: Range Mean Deviation
3. Variance a. Problem: This is difficult to work with descriptively, so the square root can be taken.
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Descriptive Statistics Measure of Variation: Range Mean Deviation
3. Variance a. This is called the: 4. Standard Deviation
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The standard deviation is:
Roughly the average difference scores are from the average. Or: It is roughly the average difference between two measures taken from the same population. It is an intuitive measure.
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The amount of time (in seconds) needed for assembly-line workers to
complete a weld was recorded for 40 workers.
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Give the central tendency measures of this sample.
What is the range, variance and standard deviation? Explain what you now know about the time it takes to make welds. d. When should a worker be reprimanded or fired for working too slow?
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Give the central tendency measures of this sample.
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Give the central tendency measures of this sample.
What is the range, variance and standard deviation?
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Give the central tendency measures of this sample.
What is the range, variance and standard deviation? Explain what you now know about the time it takes to make welds.
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Give the central tendency measures of this sample.
What is the range, variance and standard deviation? Explain what you now know about the time it takes to make welds. When should a worker be reprimanded or fired for working too slow?
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