Exam 4: Exploring Data: Variability

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The text uses a bimodal curve to show a mean and standard deviation on a single graph.

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Data Set 4-5: 2, 4, 6, 8 -Refer to Data Set 4-5. If these scores were a sample from a larger population to which you wished to generalize, the standard deviation is

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The best estimate of the population standard deviation, calculated from a sample is

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If the standard deviation of a distribution is greater than one, the variance will be _______ than the standard deviation.

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Choose the statement that is true, according to your text.

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The distribution is a set of scores made by a group of 10 students on a quiz in the Psychology Learning course. X 35 23 32 22 29 19 24 16 23 10 a. Compute σ\sigma using the deviation method. b. Compute σ\sigma using the raw-score method. c. Compute S^\hat { S } using either method d. What is the variance, σ\sigma 2? e. What is the range?

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

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a.Use the raw-score method to find the standard deviation of the two populations of scores below. 1 2 3 4 5 6 7 8 9 1 3 5 7 9 b. For the two distributions above, divide the range by the standard deviation. Explain the meaning of your result.

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Which of the following is needed in calculating the interquartile range of a distribution?

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Data Set 4-2: 5, 3, 9, 7, 6 -The raw score of 7 in Data Set 4-2 has a deviation score of

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From the data given here compute: X 10 8 7 6 4 a. σ\sigma by the deviation method. b. σ\sigma by the raw-score method. c. S^\hat { S } by the deviation method. d. S^\hat { S } by the raw-score method. e. the range.

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The following hypothetical data were obtained from a random sample of college freshmen. They represent attitude scores toward a statement made by the President, "The economy has improved in the last 12 months."Scores ranged from 7 (strongly agree) to 1 (strongly disagree). The investigator was interested in the variability of attitudes among this year's freshman class on this question.3 , 6 , 5 , 5 , 7 , 4 , 2 , 6 , 5 a. Arrange these data into an appropriate frequency distribution. b. Calculate the range. c. Do the numbers constitute a sample or a population? d. Find the standard deviation.

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Find the range, IQR, and S^\hat { S } X f 7 1 6 0 5 2 4 3 3 4 2

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For a set of data, the ratio of the standard deviation over the range will be about

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The most widely used measure of variability is the interquartile range.

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The interquartile range is 0.25 times the range.

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The most widely used measure of variability is the range.

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