ENV 250 Module Five Homework

ENV 250 Module Five Homework Instructions: In this assignment, you will draw conclusions regarding the significance of findings, determine if findings are biologically important, and determine the difference between accuracy and precision as well as the difference between reproducibility and replication. For each problem below, please address the prompt and explain your reasoning. 1. Report the mean (including standard deviation), median, and mode for the following data set of worm lengths measured in centimeters: 6, 4, 11, 12, 13, 9, 10, 14, 8, 4, 7, 12. Be sure to show your work, including the formula you used to calculate the mean, median, and mode, and use the proper units. 4,4,6,7,8,9,10,11,12,12,13,14 Mean=9.166666667=9.2 cm Mode=4cm,12cm Median=9.5cm For the mean I added all the numbers in data set and divided by 12 because that is the amount of data entries. The mode is found by ordering the numbers and looking at how many times they appear in the set the number appearing most is the mode if you have 2 frequent numbers appearing they are both a mode. The median is found by finding the middle number but if there is a even amount of points you must take both middle numbers add them together and divide by 2. Standard deviation is found by finding the mean, then for each data point find the square of its distance to the mean. s=√1n−1∑ni=1(xi−¯x)2 s = 1 n − 1 ∑ i = 1 n ( x i − x ¯ ) s= 3.4067668846078 (4-9.1666666667) 2 +….+(14-9.1666666667) 2 /12-1=127.6666666667/11=11.6060606061=sqrt11.6060606061=3.4067668846078 cm. 2. The Department of Fish and Wildlife looked at the ages of individuals between 65 and 81 that frequented the Bolsa Chica Reserve during the week of June 13 th , 2021 to help determine if more facilities and resources are necessary to support the needs of that age group. They determined there were 40 individual visitors that fit those criteria, with the following ages: 65, 66, 66, 67, 67, 67, 68, 68, 68, 68, 69, 69, 69, 69, 69, 69, 70, 70, 70, 70, 70, 71, 71, 71, 71, 72, 72, 72, 73, 73, 73, 74, 74, 75, 75, 76, 77, 78, 79, and 80. Age (years) Number of Visitors 65 1 66 2 67 3 68 4 69 6 70 5 71 4 72 3 73 3 74 2 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81+ 0 1 2 3 4 5 6 7 Number of Visitors to Bolsa Chica Reserve (06/13/2021 - 06/19/2021 Age (years) Number of Visitors

Age (years) Number of Visitors 75 2 76 1 77 1 78 1 79 1 80 1 81+ 0 What would you say is the best measure of central tendency for the weekly visitor distribution? How should the Department of Fish and Wildlife report it? Justify your response. I added all numbers up to equal 2,772 and divide by 40 which equals 69.3 which is the mean. The best measure of tendency is the mean because it is an average of all the numbers. It should be reported as the average amount of of visitors ages 65-81+ is 69.3. 3. A real estate agent has been given 10 houses to list. The house prices in dollars are: 110,000 95,000 87,000 92,000 99,000 250,000 265,000 210,000 275,000 240,000 A potential buyer calls and asks about house prices in the area. What measure of central tendency would best describe this data set? How should the real estate agent report it? Justify your response. 87,000, 92,000, 95,000,99,000, 110,000, 210,000, 240,000, 250,000, 265,000, 275,000 median=$160,000 The median best describes the central measure of tendency. If a single home that is high priced pulled up the average price well above a typical home on the market. This is why median provides a more accurate measure of the typical value of a home. She should report the median price in dollars. $160,000