The Ironman 70.3 Asia-Pacific 2017 Championship result is shown on table below. Compute the range and standard deviation of the top 10 fastest time. Athlete Reed, Tim Mendez, Mauricio Fisher, Ryan Berkel, Tim Mcmahon, Brent Millward, Callum Williams, Brad Watson, Eric Cosulich, Timothy Watkinson, Amelia Time 3:54:07 3:56:46 4:00:20 4:02:31 4:05:24 4:10:20 4:19:55 4:23:30 4:26:54 4:29:17
The Ironman 70.3 Asia-Pacific 2017 Championship result is shown on table below. Compute the range and standard deviation of the top 10 fastest time. Athlete Reed, Tim Mendez, Mauricio Fisher, Ryan Berkel, Tim Mcmahon, Brent Millward, Callum Williams, Brad Watson, Eric Cosulich, Timothy Watkinson, Amelia Time 3:54:07 3:56:46 4:00:20 4:02:31 4:05:24 4:10:20 4:19:55 4:23:30 4:26:54 4:29:17
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
The Ironman 70.3 Asia-Pacific 2017 Championship result is shown on table below. Compute the
range and standard deviation of the top 10 fastest time.
Athlete
Reed, Tim Mendez, Mauricio Fisher, Ryan Berkel, Tim Mcmahon, Brent Millward, Callum Williams, Brad Watson, Eric Cosulich, Timothy Watkinson, Amelia
Time
3:54:07 3:56:46 4:00:20 4:02:31 4:05:24 4:10:20 4:19:55 4:23:30 4:26:54 4:29:17
2. Melvin surveyed the price of unleaded gasoline at gas stations in raw data, in pesos per liter, are given below.
Davao city and Tagum City. The
a. Find the standard deviation of prices in each city.
b. Which city has more consistently priced gasoline? Why?
Davao City Tagum City
45.90 46.20
48.75 47.95
48.90 48.95
49.01 45.52
45.00 46.83
47.90 47.98
3. Some studies show that the mean normal human body temperature is actually somewhat lower than the commonly given value of 37°C. This is reflected in the following data set of body temperatures. Body temperatures (°C) of 30 healthy adults are recorded as follows:
36.1 37.2 37.0 37.3 36.9 36.5 37.8 37.0 37.2 36.8 37.5 37.3 36.7 36.8 36.1 36.5 36.7 37.1 37.2 36.6 36.4
35.9 36.3 37.2 37.7 37.2 36.5 36.6 36.7 37.8
a. Find the mean and sample standard deviation of the body temperatures.
b. Are there any temperatures in the data set that do not lie within 2 standard deviations of the mean?
If so, list them.
4. A mountain climber plans to buy some rope to use as a lifeline. Which of the following would be the better choice? Explain why you think your choice is the better choice.
Rope A: Mean breaking strength: 500 lb; standard deviation of 100 lb Rope
B: Mean breaking strength: 500 lb; standard deviation of 10 lb
5. The average number of days construction workers miss per year is 11 with a standard deviation of 2.3. The average number of days factory workers miss per year is 8 with a standard deviation of 1.8. Which class is more variable in terms of days missed?
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