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 a Compute the mode median and mean What is the mode 5 LUSE SALT 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 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