LUSE SALT (a) Calculate the sample mean x and median 7. (Round your mean to four decimal places.) x-187.6429 x ✓ 7-1905 Interpret the sample mean and median. O The median is larger than the mean, but they are still fairly close together. O The mean is much larger than the median. O The median is much larger than the mean. The mean is larger than the median, but they are still fairly close together. (b) Suppose that the first observation had been 256 rather than 243. Calculate the sample mean and median. (Round your mean to four decimal places.) x-190.1429 x x 7-189 How would the mean and median change? O Both the mean and median decreased. ✓ The mean increased, and the median stayed the same. O The mean decreased, and the median stayed the same. O Both the mean and median stayed the same. (c) Calculate a trimmed mean by eliminating the smallest and largest sample observations. (Enter your answer to four decimal places.) 190 2500 x What is the corresponding trimming percentage? (Round your answer to two decimal places.) 14.29 x% (d) The article also reported values of single-leg power for a low workload. The sample mean for n-13 observations was x 119.8 (actually 119.7692), and the 14th observation, somewhat of an outlier, was 159. What is the value of x for the entire sample? (Round your ar 123
LUSE SALT (a) Calculate the sample mean x and median 7. (Round your mean to four decimal places.) x-187.6429 x ✓ 7-1905 Interpret the sample mean and median. O The median is larger than the mean, but they are still fairly close together. O The mean is much larger than the median. O The median is much larger than the mean. The mean is larger than the median, but they are still fairly close together. (b) Suppose that the first observation had been 256 rather than 243. Calculate the sample mean and median. (Round your mean to four decimal places.) x-190.1429 x x 7-189 How would the mean and median change? O Both the mean and median decreased. ✓ The mean increased, and the median stayed the same. O The mean decreased, and the median stayed the same. O Both the mean and median stayed the same. (c) Calculate a trimmed mean by eliminating the smallest and largest sample observations. (Enter your answer to four decimal places.) 190 2500 x What is the corresponding trimming percentage? (Round your answer to two decimal places.) 14.29 x% (d) The article also reported values of single-leg power for a low workload. The sample mean for n-13 observations was x 119.8 (actually 119.7692), and the 14th observation, somewhat of an outlier, was 159. What is the value of x for the entire sample? (Round your ar 123
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 88CR
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Transcribed Image Text:An article on pedaling techniques for elite endurance cyclists reported on single-leg power at a high workload.
243 192 157 185 183 174 170
203 207 189 211 183 197 197
USE SALT
(a) Calculate the sample mean x and median X. (Round your mean to four decimal places.)
x = 187.6429
X
X =
190.5
Interpret the sample mean and median.
O The median is larger than the mean, but they are still fairly close together.
O The mean is much larger than the median.
O The median is much larger than the mean.
The mean is larger than the median, but they are still fairly close together.
(b) Suppose that the first observation had been 256 rather than 243. Calculate the sample mean and median. (Round your mean to four decimal places.)
x = 190.1429
X
X
X = 189
How would the mean and median change?
O Both the mean and median decreased.
● The mean increased, and the median stayed the same.
O The mean decreased, and the median stayed the same.
O Both the mean and median stayed the same.
(c) Calculate a trimmed mean by eliminating the smallest and largest sample observations. (Enter your answer to four decimal places.)
190.2500
X
What is the corresponding trimming percentage? (Round your answer to two decimal places.)
14.29
X %
(d) The article also reported values of single-leg power for a low workload. The sample mean for n = 13 observations was X = 119.8 (actually 119.7692), and the 14th observation, somewhat of an outlier, was 159. What is the value of x for the entire sample? (Round your answer to the nearest whole number.)
123
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