Exam 4: Exploring Data: Variability

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Data Set 4-7: These are all the scores that exist for an entire group. 1, 0, 5, 6 -The standard deviation of the scores in Data Set 4-7 is

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The standard deviation that estimates a population standard deviation from calculations on a sample is

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Data Set 4-7: These are all the scores that exist for an entire group. 1, 0, 5, 6 -The range for Data Set 4-7 is

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Data Set 4-2: 5, 3, 9, 7, 6 -You can just look at the scores 10, 11, 9, 10, 11, 9 and see that they are ______ than Data Set 4-2.

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The sum of squares is

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The standard deviation of the height of a group of boys and girls aged 3-14 is _______ that of a group aged 13-14.

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Data Set 4-2: 5, 3, 9, 7, 6 -If you consider Data Set 4-2 to be a population, the standard deviation is

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Data Set 4-8: 2, -2, 4, 6 -The value of σ\sigma 2 for Data Set 4-8 is

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For each set below circle the letter of the more variable group. -Set 4: Winning team scores

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The standard deviation of the ages of all children 9 to 11 would be______________the standard deviation of all children aged 1 to 8.

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For the scores: 2, 3, 5, 7, the range is

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Find the range, IQR, and S^\hat { S } X f 23 1 22 2 21 4 20 4 19 3 18 3 17

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Compute the range, S^\hat{ S } , and σ\sigma for the scores below. Use the deviation method for S^\hat { S } and the raw-score method for σ\sigma . Compute IQR. X f 4 1 3 4 2 1 1 2 0 2

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For each set below circle the letter of the more variable group. -Set 2:

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Find S^\hat { S } using the definitional formula, which has Σ(XXˉ)2\Sigma ( X - \bar { X } ) ^ { 2 } in the numerator. -Scores:5, 4, 3, 2, 1

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The variance isthe standard deviation.

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"Hummph,"wheezed Professor Glarance Downsnout, "the Registrar said this year's Freshmen had higher ACT scores on average than last year's, but I declare, I have more duds than ever before."Suppose that the statement is true and that the Professor's students are representative of the whole class. Write an explanation of how this could be, using the concepts in Chapter 4.

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One of the characteristics of high quality manufacturing is consistency. To compare manufacturers, choose an important part and measure four of them from each manufacturer. Suppose the hypothetical measurements below (in millimeters) are samples of the same part manufactured by three sound system companies. Analyze the data and write a sentence about the three manufacturers. This is a case where you need to carry four decimal places in your work. Pioneer 25.1 24.7 24.9 25.3 Sony 25.1 24.9 25.1 24.9 JVC 25.2 25.3 24.7 24.8

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Compute the range for the following scores: 2.6 , 3.9 , 6.8 , 5.0 , 2.4 , 5.5 , 7.1

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Data Set 4-8: 2, -2, 4, 6 -For Data Set 4-8, the range is

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