We are interested in developing a sampling distribution for the average time Olympic marathon runners complete a marathon in. This is based on the 2012 Men's Olympic Marathon which had 85 finishers. Data is available at StatKey, select Sampling Distribution for a Mean, then change the data set to Olympic Marathon-2e (Minutes).
Summary Statistics
For samples size of use the standard error formula or create a sampling distribution by running at least 6000 samples based on their data set.
The standard deviation for the sample is .
The standard error for the distribution of sample means from samples of size 30 is .
Summary Statistics
| Population size | Mean | StDev | Median |
|---|---|---|---|
| 85 | 140.592 | 8.007 | 139 |
For samples size of use the standard error formula or create a sampling distribution by running at least 6000 samples based on their data set.
The standard deviation for the sample is .
The standard error for the distribution of sample means from samples of size 30 is .