Square field measures 10. By 10 meters 10 students each marked off a randomly selected region of the field. Each region is a square and has a side length of one meter. And no two regions overlap. The students count the earthworms contained in the soil to a depth of five centimeters beneath the ground surface in each region, the results are shown in the table below. Okay, which of the following is a reasonable approximation of the number of earthworms to a depth of five centimeters beneath the ground surface in the entire field?

Okay, so what we're supposed to do is use the results from the students measurements or from what they've discovered. And use that data to make a general statement about the amount of earthworms in the entire field Well, in the entire field. The entire field is 10 by 10 meters. So it is 100 meter squared, that is the entire area. And each student only looked at a one by one region and we have 10 regions. Okay.

So if we want to get kind of an average, let's look at the answers, all right, you can already see that the answers differ by a difference in an order of magnitude. So each one is a multiple of 10. So, the answers are not going to be so close where you actually need to calculate the average for each of the students data. So what we can do is, we can look at the lowest number of earthworms by one of the students. So that would be region a 107, and the highest, which happens to be 176 region i. So this gives us a range from 107 to 176.

And if you want to make a general statement, we can say well, based on this the total number of earthworms in the entire field will range from one 107 00 right 10,700 so all I'm doing is multiplying this by 100 and this by 100, since each one represents one over 100 of the entire field, and it's going to go to 17600 or 17,600. So the range ranges from 10 about 10,000 to 17,000. Okay, which answer choice most likely suits that and that will be c 50,000 lies between the range that we have here.