SOLUTION: The mean time taken by all participants to run a road race was found to be 115 minutes with a standard deviation of 20 minutes.
Using Chebyshev's theorem, find the percentage of r
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-> SOLUTION: The mean time taken by all participants to run a road race was found to be 115 minutes with a standard deviation of 20 minutes.
Using Chebyshev's theorem, find the percentage of r
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Question 971405: The mean time taken by all participants to run a road race was found to be 115 minutes with a standard deviation of 20 minutes.
Using Chebyshev's theorem, find the percentage of runners who ran this road race in 75 to 155 minutes.
You can put this solution on YOUR website! Chebyshev's Theorem puts a bound on the percentage between x number of standard deviations. A certain amount of data must fall within 1-[1/(sd)^2], so at least 3/4 of people will be within two standard deviations. It may be more, and it usually is, but it can not be fewer than 3/4.
The data are mean +/- 2 sds or 75 to 155 minutes. At least 75% of the runners finished in that time interval.
