5.2+Estimating+a+Deer+Population+0910

The Big Idea  Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them. Essential Question: What methods are there for comparing things? =  =  WL Math7B 13/12/09    5.2 estimating a deer population **A. ****Q: Study the data you collected. Use the data to estimate the number of beans in your container. Explain how you made your estimate.** A: Random Samples from the Bean Population ** samples ** || ** marked ** || ** unmarked ** || ** total ** || 1  ||   13   ||   60   ||   73   ||  2   ||   3   ||   19   ||   22   ||  3   ||   3   ||   31   ||   34   ||  4   ||   2   ||   19   ||   21   ||  5   ||   11   ||   93   ||   104   ||  marked in sample   || =  ||   total marked in population   || total in sample  ||^   || total population  || total marked in population = 25 || total population = x || 32  ||   =   ||   25   ||  254   ||^   ||   x   || 254 X 25 / 32 = 198 ||   || x = total population = 198 || A: The biologist mark a couple deer than they randomly capture a certain amount of deer, they repeat this procedure a couple of times than they multiply the total captured by total marked and divide that by total captured with the mark they put on the deer. Follow Up  A: This method may give poor results in case you would sample few animals and take very few samples. With small samples the random error increases, and if you have only few samples you can’t compensate these large random errors. If you take larger samples you, still only one or two sample may not be enough, also because of chance. You may capture a lot, but it is also possible to capture only few.
 * B. Q: Based on what you have learned from this experiment, how do you think biologists count deer population. **
 * Q: In your group, discuss ways in which this method might give a poor estimate of the actual number of deer in a population. Record your ideas. **

