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Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

Apr 16, 2018

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Page 1: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

Algebra II 11

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Page 2: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

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Page 5: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

Mean = 50296Median = 49950Mode = none

There is Levi because he was so bad he lost his inheritance. Joseph’s tribe was split into two (one for each son)

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Page 6: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

32-14=18

23-8=15

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𝜎=4.59

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Page 10: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

a. 14, 14.5, 15, 6, about 1.7b. 15, 15, 15, 14, about 3.5c. The mean is most affected by the outlier. The mode is least affect by the outlier.d. The outlier causes both the range and standard deviation to increase.

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Page 13: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

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Page 14: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

Mean: 146 and 143Median: 142 and 139Mode: 155 and 152Range: 17 and 17Std. Dev.: 7.46 and 7.46

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Page 15: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

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Page 16: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

Mean: 65.7Median: 63.9Mode: 69.75Range: 7.65Std. Dev.: 3.36

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P( ҧ𝑥 − 𝜎 ≤ 𝑥 ≤ ҧ𝑥 + 3𝜎) = 0.8385

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Page 21: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

P(<15.5)P(<15.5) = 0.025(0.025) = 0.000625

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Page 22: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

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Page 23: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

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If want P(z ≤ n), let z1 = -100 and z2 = n

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Page 25: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

Z-score = 0.13P(𝑧 ≤ 0.099) = 0.5508

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a. Systematicb. Convenience

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Possible response: The sample is biased because only readers with strong opinions will respond.

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Possible solution: Placing the names in a hat and choosing 50 at random. Solutions may vary, but the sampling method must be random.

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Page 34: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

a. Margin of error = ±0.026 𝑜𝑟 ± 2.6%b. Between 45.5% and 50.6%

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Page 35: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

N = 1111 people

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Could be linear or cubic (situation suggests linear)𝑦 = 0.17𝑥 + 0.44

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Page 44: Algebra II 11 - Andrews Universityrwright/algebra2/powerpoint… ·  · 2016-08-17Algebra II 11 1. 2. 3. 4. Mean = 50296 Median = 49950 ... the median is the mean of the two middle

Cubic y = 3.2365x3 - 44.899x2 + 201.81x + 12.172

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