20. * The students in Mrs. Marshall's class are estimating the number of blades of grass in the

In this problem, we have to tell about the value of K to complete probability distribution. Prob

For this problem, the first thing that I'm going to do is I'll sort the values in ascending orde

calculate the mean median mode for each. For A are times to run. We're going to see that our mea

mean is evaluated as sum of all values divided by number of values. So then sum of all values wi

OK, so for part 1a, we want to create a histogram. Now, I'm going to do classes going from 10 up

Question

20. * The students in Mrs. Marshall's class are estimating the number of blades of grass in the school's lawn. Each student places a piece of cardboard with a 1-inch-by-1-inch square cut out of the middle over a patch of grass, cuts off the grass that pokes through the hole, and counts the number of blades of grass that were cut. The students determine that the entire lawn consists of about 21,600 1-inch-by-1-inch squares. The students also determine that the mean number of blades of grass in their samples is 37 and the median number is 34 . The students want to use their samples to estimate the number of blades of grass in the lawn, but they can't decide if they should use the mean or the median number of blades of grass in their samples. In other words, should they multiply 37 by 21,600 or should they multiply 34 by 21,600 in order to estimate the number of blades of grass in the lawn? Parts (a), (b), and (c) will help you determine whether the mean or the median will be better for the purpose of estimating the number of blades of grass. a. Suppose Mrs. Marshall's students use their method to determine the number of blades of grass in a 5-inch-by-5-inch square of grass. In this case, they can subdivide the patch of grass into \( 5 \cdot 5=25 \) 1-inch-by-1-inch squares and determine the number of blades of grass in each such square. The students can then determine the mean number of blades of grass in the squares and multiply this number by 25 . Explain why this method, which uses the mean, will always produce the correct number of blades of grass in the 5 -inch-by-5-inch patch of grass. b. As in part (a), suppose Mrs. Marshall's students use their method to determine the number of blades of grass in a 5-inch-by-5-inch square of grass. But this time, suppose the students use the median number of blades of grass in the 251 -inch-by-1-inch squares instead of the mean. Give an example to show that multiplying the median number of blades of grass in the 1-inch-by-1-inch squares by 25 may not produce the correct number of blades of grass in the 5 -inch-by-5-inch patch. Explain your example. c. Returning to the original problem about the grass in the school lawn, how should Mrs. Marshall's students estimate the number of blades of grass in the lawn?

20. * The students in Mrs. Marshall's class are estimating the number of blades of grass in the school's lawn. Each student places a piece of cardboard with a 1-inch-by-1-inch square cut out of the middle over a patch of grass, cuts off the grass that pokes through the hole, and counts the number of blades of grass that were cut. The students determine that the entire lawn consists of about 21,600 1-inch-by-1-inch squares. The students also determine that the mean number of blades of grass in their samples is 37 and the median number is 34 . The students want to use their samples to estimate the number of blades of grass in the lawn, but they can't decide if they should use the mean or the median number of blades of grass in their samples. In other words, should they multiply 37 by 21,600 or should they multiply 34 by 21,600 in order to estimate the number of blades of grass in the lawn? Parts (a), (b), and (c) will help you determine whether the mean or the median will be better for the purpose of estimating the number of blades of grass.
a. Suppose Mrs. Marshall's students use their method to determine the number of blades of grass in a 5-inch-by-5-inch square of grass. In this case, they can subdivide the patch of grass into \( 5 \cdot 5=25 \) 1-inch-by-1-inch squares and determine the number of blades of grass in each such square. The students can then determine the mean number of blades of grass in the squares and multiply this number by 25 . Explain why this method, which uses the mean, will always produce the correct number of blades of grass in the 5 -inch-by-5-inch patch of grass.
b. As in part (a), suppose Mrs. Marshall's students use their method to determine the number of blades of grass in a 5-inch-by-5-inch square of grass. But this time, suppose the students use the median number of blades of grass in the 251 -inch-by-1-inch squares instead of the mean. Give an example to show that multiplying the median number of blades of grass in the 1-inch-by-1-inch squares by 25 may not produce the correct number of blades of grass in the 5 -inch-by-5-inch patch. Explain your example.
c. Returning to the original problem about the grass in the school lawn, how should Mrs. Marshall's students estimate the number of blades of grass in the lawn?

Added by Vanesa S.

Question

Please give Ace some feedback