Quadratic
The quadratic mean of 3, 5, 6, and 10 is
Find the quadratic mean of 8, 6, 3, 5, and 4.
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Elementary Statistics: A Step By Step Approach
- LIFE SCIENCE APPLICATIONS Body Surface Area The surface area of a human in square meters has been approximated by A(h,m)=0.024265h0.3964m0.5378, where h is the height in cm and m is the mass in kg. Find A for the following data. Source: The Journal of Pediatrics. a. Height, 178cm; mass, 72kg b. Height, 140cm; mass 65kg c. Height, 160cm; mass, 70kg d. Using your mass and height, find your own surface area. e. f.arrow_forwardBody Mass Index The body mass index BMI is a number that can be calculated for any inidividual as follows: Multiply weight by 703 and divide by the persons height squared. That is, BMI=70.3wh2 where w is in pounds and h is in inches. The National Heart, Lung, and Blood Institute uses the BMI to determine whether a person is overweight 25BMI30 or obese BMI30. Source: The National Institutes of Health. a. Calculate the BMI for Lebron James, basketball player for the Miai Heat, who is 250 lb and 6'8'' tall. b. How much weight would Lebron James to lose until he reaches a BMI of 24.9 and Is no longer overweight? Comment on whether BMI cutoffs are appropriate for athletes with considerable muscle mass. c. For a 125-lb female, what is the rate of change of BMI with respect to height? Hint: Take the derivative of the function:fh=703125h2. d. Calculate and interpret the meaning of f'65. e. Use the TABLE feature on your graphing calculator to construct a table for BMI for various weights and heights.arrow_forwardRunning In 1987, Canadian Ben Johnson set a world record in the 100-m sprint.The record was later taken away when he was found to have used an anabolic steroid to enhance his performance. His speed at various times in the race is given in the following table . Source: Information Graphics. Timesec Speedmph 0 0 1.84 12.9 3.80 23.8 6.38 26.3 7.23 26.3 8.96 26.0 9.83 25.7 a. Use the information in the table and left endpoints to estimate the distance that Johnson ran in miles. You will first need to calculate t for each interval. At the end, you will need to divide by 3600 the number of seconds in an hour, since the speed is in miles per hour. b. Repeat part a, using right endpoints. c. Wait a minute, we know that the distance Johnson ran is 100m. Divide this by 1609, the number of meters in a mile, to find how far Johnson ran in miles. Is your answer from part a or part b closer to the true answer? Briefly explain why you think this answer should be more accurate. d.arrow_forward
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