Summarize and Compare Responses Mean (Average) Median Standard Deviation Mean (Average) Median ...

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Summarize and Compare Responses Mean (Average) Median Standard Deviation
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Page 1: Summarize and Compare Responses  Mean (Average)  Median  Standard Deviation  Mean (Average)  Median  Standard Deviation.

Summarize and Compare Responses

Summarize and Compare Responses

Mean (Average) Median Standard Deviation

Mean (Average) Median Standard Deviation

Page 2: Summarize and Compare Responses  Mean (Average)  Median  Standard Deviation  Mean (Average)  Median  Standard Deviation.

16, 23, 25, 17, 26, 24, 11, 24, 19, 21, 15, 13, 21, 21, 20, 20, 21, 28, 18, 17, 17, 22, 20, 10, 22, 23, 16, 22, 20, 21, 21, 21, 31, 17, 21, 16, 16, 20, 18, 22, 18, 22, 22, 16, 21, 17, 25, 20, 21, 26

Hypothetical: David Archuleta releases a CDHypothetical: David Archuleta releases a CD

50 CD buyers, chosen at random. Asked their age.

50 CD buyers, chosen at random. Asked their age.

Page 3: Summarize and Compare Responses  Mean (Average)  Median  Standard Deviation  Mean (Average)  Median  Standard Deviation.

16, 23, 25, 17, 26, 24, 11, 24, 19, 21, 15, 13, 21, 21, 20, 20, 21, 28, 18, 17, 17, 22, 20, 10, 22, 23, 16, 22, 20, 21, 21, 21, 31, 17, 21, 16, 16, 20, 18, 22, 18, 22, 22, 16, 21, 17, 25, 20, 21, 26

Hypothetical: David Archuleta releases a CDHypothetical: David Archuleta releases a CD

50 CD buyers, chosen at random. Asked their age.

50 CD buyers, chosen at random. Asked their age.

Mean = 20.1 yearsMedian = 21.0 yearsStandard Deviation = 4.1 years

Page 4: Summarize and Compare Responses  Mean (Average)  Median  Standard Deviation  Mean (Average)  Median  Standard Deviation.

Frequency Table

Age (years) # of Sales10 111 112 013 114 015 116 517 518 319 120 621 1022 623 224 225 226 227 028 129 030 031 1

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Frequency Histogram

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50 responses

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1000 responses

Page 8: Summarize and Compare Responses  Mean (Average)  Median  Standard Deviation  Mean (Average)  Median  Standard Deviation.

2000 responses

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3000 responses

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4000 responses

Page 11: Summarize and Compare Responses  Mean (Average)  Median  Standard Deviation  Mean (Average)  Median  Standard Deviation.

5000 responses

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6000 responses

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Bell Shaped Pattern

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Gaussian (Normal) Distribution

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Peaked & Symmetric

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2 Inflection Points

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“Spread” in ResponsesStandard Deviation

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68.3% of Total Area

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CD Sales in Missouri

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Different Mean & Std. Dev.

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Still 68.3% of Total Area

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Skewed Distribution

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Skewed Distribution

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Utah Sales

Missouri Sales