Exam 4: Summarizing Data: Measures of Variation

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A measure of variation that depends on all the data is a range.

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The prices (in dollars) of 16 film video cassettes on sale at a video store are given below. 38,32,38,13,23,38,32,28,27,32,23,27,25,32,27,3038,32,38,13,23,38,32,28,27,32,23,27,25,32,27,30 -For this data, find the range.

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The grades obtained on a test by twelve students in a class are listed below. 66,70,68,75,80,86,64,73,80,94,72,9166,70,68,75,80,86,64,73,80,94,72,91 -Find the standard deviation of the grades.

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At the start of the program, ten dieters entering a weight-loss program have the weights (in pounds) shown below. 182,160,120,140,155,136,115,190,144,200182,160,120,140,155,136,115,190,144,200 -For this data, construct a boxplot.

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The symbol ss represents the population standard deviation.

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The grades obtained on a test by twelve students in a class are listed below. 66,70,68,75,80,86,64,73,80,94,72,9166,70,68,75,80,86,64,73,80,94,72,91 -Find the range of the grades.

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In order to measure the dispersion of a set of data relative to its level of magnitude, we use:

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In a boxplot, if the median is close to the left side of the box, the data is symmetric.

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In order to compare the values of two numbers which belong to different sets of data, we use:

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The grades obtained on a test by twelve students in a class are listed below. 66,70,68,75,80,86,64,73,80,94,72,9166,70,68,75,80,86,64,73,80,94,72,91 -Find the variance of the grades.

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A denominator of (n−1)(n-1) in the defining formula for a standard deviation indicates that the formula measures the variance of a _______.

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The symbol σ\sigma denotes the _______.

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The frequency distribution of grades on a test for a class of 30 students is given below: The frequency distribution of grades on a test for a class of 30 students is given below:    -Find the standard deviation of the grades. -Find the standard deviation of the grades.

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In order to compare the variability of several populations having different magnitude levels, we should use the _______.

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Table 2 Two companies have the following sales results for a particular month. Table 2 Two companies have the following sales results for a particular month.    -Use the data in Table 2 to solve the following: Give the coefficient of variation of the sales of each of the two companies. -Use the data in Table 2 to solve the following: Give the coefficient of variation of the sales of each of the two companies.

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A disadvantage that the range has compared to the standard deviation is that the range is _______.

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The midrange is a measure of variation.

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A measure of variation that is greatly affected by extreme values is the standard deviation.

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One advantage of the computing formula for the standard deviation is that it does not require calculating the _______.

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The mean, median, and standard deviation of a list of numbers are 128, 160, and 8.2. Suppose that the number 25 is added to each number in the list. -What is the new value of the mean?

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