(10+10+10+5+5 = 40 pts.) Each of 16 students measured the circumference of a tennis ball by two different methods, which were: Method A: measure the diameter with a ruler, then compute the circumference Method B: measure the circumference with ruler and string The results (in cm) are given below, in increasing order for each method: Method A: 18.8, 18.9, 18.9, 19.8, 20.1, 20.4, 20.4, 20.4, 20.6, 20.5, 21.2, 21.9, 22.0, 22.0, 22.0. 23.6 Method B: 20.2, 20.5, 20.5, 20.7, 20.8, 20.9, 21.0, 21.0, 21.0, 21.0, 21.0, 21.5, 21.5, 21.5, 21.5. 21.6 a. Compute the mean & median measurement for each method b. Compute the first and third quartile for each method c. Compute the standard deviation of the measurements for each method. d. If the measurements for one of the methods were converted to inches (linch = 2.54 cm). how would this affect the mean? The median? The quartiles? The standard deviation? e. Other things being equal, is it better for a measurement method to have a smaller standard deviation or a larger standard deviation? Or doesn't it matter? Explain