Since the start of the Obama presidency, the average number of minutes playing golf each week is 160 minutes and the standard deviation is 20 minutes. The average number of minutes attending cabinet meeting per week is 6 minutes and the standard deviation is 15 minutes. What is more variable golf minutes or cabinet meeting minutes?
Please show work. Thank you.
Try putting the comparison in a ratio: $\dfrac{\text{standard deviation in minutes}}{\text{average time of ____ in minutes}},\;$ in terms of golf, and then in terms of cabinet meetings.
Then simplify and compare the two ratios. Which is larger than the other?
The larger of the two will correspond to which is the most variable: golf minutes vs. cabinet minutes.