Question

In this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. Consider the following data set. 4, 4, 5, 8, 12 (a) Compute the mode, median, and mean. mode Correct: Your answer is correct. median Correct: Your answer is correct. mean Correct: Your answer is correct. (b) Multiply each data value by 8. Compute the mode, median, and mean. mode median mean (c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant? Multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c. Multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. Multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c. There is no distinct pattern when each data value is multiplied by the same constant. Incorrect: Your answer is incorrect. (d) Suppose you have information about average heights of a random sample of airline passengers. The mode is 67 inches, the median is 72 inches, and the mean is 75 inches. To convert the data into centimeters, multiply each data value by 2.54. What are the values of the mode, median, and mean in centimeters? (Enter your answers to two decimal places.) mode cm median cm mean cm

How expensive is Maui? A newspaper gave the following costs in dollars per day for a random sample of condominiums located throughout the island of Maui. 89 50 68 60 355 55 500 71 41 350 60 50 250 45 45 125 235 65 60 110 (a) Compute the mean, median, and mode for the data. (Round your answers to two decimal places.) mean $ median $ mode $ (b) Compute a 5% trimmed mean for the data, and compare it with the mean computed in part (a). (Round your answer to two decimal places.) $ Does the trimmed mean more accurately reflect the general level of the daily rental costs? Yes, the trimmed mean is closer to the median and mode. Yes, the trimmed mean is further from the median and mode. No, the trimmed mean is further from the median and mode. No, the trimmed mean is closer to the median and mode.

Answer 1

There are more than 1 questions, as per the Q&A guidelines i am answering first question. If you want to get the answers for the rest of the parts, please post the question in a new post.

There are more than 1 questions, as per the Q&A guidelines i am answering first question. If you want to get the answers for the rest of the parts, please post the question in a new post.

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