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. 5, 5, 6, 9, 13 USE SALT (a) Compute the mode, median, and mean. What is the mode? 5 What is the median? 6 What is the mean? 7.6 (b) Multiply each data value by 3. Compute the mode, median, and mean. What is the mode? 15 What is the median? 10 What is the mean? 22 (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. O 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. (d) Suppose you have information about average heights of a random sample of airline passengers. The mode is 66 inches, the median is 71 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? What is the mode? 167.04 x cm What is the median? 180.34 cm