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If a question asks for an explanation, please explain. 3. Given the following sample of monthly rents in one city: 850 925 2400 850 750

If a question asks for an explanation, please explain.

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3. Given the following sample of monthly rents in one city: 850 925 2400 850 750 800 950 (a) Find the mean, median, and mode. Which average is the most useful here? Explain your answer. (b) Find the sample standard deviation (s) of these numbers using a table as shown: x (x x) | (x x) (c) Find the mean, median, and standard deviation with the possible outlier removed. How is each one different? 4. Find the coefficients of variation for the following two data samples. Which do you think is more spread out, relatively speaking (see the Coefficient of Variation video and notes section)? Explain your answer. Sample 1: 47, 52, 61, 54, 43, 38, 46 Sample 2: 93, 82, 111, 104, 122, 99 5. A manufacturer makes machine parts which must be at least 44 cm long. The manufacturer takes a sample of 100 parts it made and found that the mean was x = 50 cm and the sample standard deviation s = 2 cm. Based on a Chebyshev interval, at least how many of the 100 parts have lengths between 44 and 56 cm? Explain your answer.

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