Mkang+Assignment+3

Mi Hyun Date of Submission: November 21, 2010 Due Date: December 6, 2010 Date Assigned: November 8, 2010 Math 6 Block E Wiki Assignment 3 Topic: Data About Us, Looking Back and Looking Ahead, Page 69-70

__Using Your Statistical Reasoning-1A. Graph the lengths of the 25 alligators and describe the distribution of lengths shown in the graph by writing a sentence.__ Table of Lengths of Captured Alligators
 * Gator Number || Length (inches) ||  || Gator Number || Length (inches) ||
 * 1 || 74 ||  || 14 || 88 ||
 * 2 || 94 ||  || 15 || 58 ||
 * 3 || 85 ||  || 16 || 90 ||
 * 4 || 61 ||  || 17 || 94 ||
 * 5 || 128 ||  || 18 || 68 ||
 * 6 || 72 ||  || 19 || 78 ||
 * 7 || 89 ||  || 20 || 86 ||
 * 8 || 90 ||  || 21 || 72 ||
 * 9 || 63 ||  || 22 || 74 ||
 * 10 || 82 ||  || 23 || 147 ||
 * 11 || 114 ||  || 24 || 76 ||
 * 12 || 69 ||  || 25 || 86 ||
 * 13 || 86 ||  ||   ||   ||

The range of the lengths is 58 to 147. Most of the alligators are from 60 to 95 inches long. The outlier is 147.

__Using Your Statistical Reasoning-1B. Find the mean and median lengths.__ Mean=(58+61+63+68+69+72+72+74+74+76+78+82+85+86+86+86+88+89+90+90+94+94+114+128+147)/25=2124/25=84.96 The mean is 84.96 Median=58,61,63,68,69,72,72,74,74,76,78,82,85,86,86,86,88,89,90,90,94,94,114,128,147=85 Median=85 I found the median by crossing off the smallest and largest number until I found the middle number.

__Using Your Statistical Reasoning-1C. Find the range of the lengths.__ The range of the lengths is 58~147 because 58 is the smallest number and 147 is the largest number.

__Using Your Statistical Reasoning-2A. Graph the weights of the alligators and write a sentence about the weights.__ The range of the weights is 28~640. Most of the alligators are 20~110 lbs. The outliers are 197, 366 and 640.
 * Gator Number || Weight (pounds) ||
 * 1 || 54 ||
 * 2 || 110 ||
 * 3 || 84 ||
 * 4 || 44 ||
 * 5 || 366 ||
 * 6 || 61 ||
 * 7 || 84 ||
 * 8 || 106 ||
 * 9 || 33 ||
 * 10 || 80 ||
 * 11 || 197 ||
 * 12 || 36 ||
 * 13 || 83 ||
 * 14 || 70 ||
 * 15 || 28 ||
 * 16 || 102 ||
 * 17 || 130 ||
 * 18 || 39 ||
 * 19 || 57 ||
 * 20 || 80 ||
 * 21 || 38 ||
 * 22 || 51 ||
 * 23 || 640 ||
 * 24 || 42 ||
 * 25 || 90 ||

__Using Your Statistical Reasoning-2B. Find the mean and the median weights.__ Mean=(54+110+84+44+366+61+84+106+33+80+197+36+83+70+28+102+130+39+57+80+38+51+640+42+90)/25=2705/25=108.2 The mean is 108.2

Median=28,33,36,38,39,42,44,51,54,57,61,70,80,80,83,84,84,90,102,106,110,130,197,366,640==80 The median is 80. I found the median by crossing off the smallest and largest number until I found the middle number.

__Using Your Statistical Reasoning-3A. Make a coordinate graph of the date (length, weight),__ Table of the Lengths and Weights of Alligators (pounds) ||  || Gator Number || Length (inches) || Weight (pounds) || __Using Your Statistical Reasoning-3Bi. What relationship with length and width do you notice between alligators that are 61 and 63 inches long?__ They are the shortest from the group of alligators, but they are also very light. Gator #4, is 61 in. long and 44 lbs. heavy. Gator #9, is 63 in. long and 33 lbs. heavy. Gator #4 is shorter but is heavier, and Gator #9 is longer but lighter.
 * Gator Number || Length (inches) || Weight
 * 1 || 74 || 54 ||  || 14 || 88 || 70 ||
 * 2 || 94 || 110 ||  || 15 || 58 || 28 ||
 * 3 || 85 || 84 ||  || 16 || 90 || 102 ||
 * 4 || 61 || 44 ||  || 17 || 94 || 130 ||
 * 5 || 128 || 366 ||  || 18 || 68 || 39 ||
 * 6 || 72 || 61 ||  || 19 || 78 || 57 ||
 * 7 || 89 || 84 ||  || 20 || 86 || 80 ||
 * 8 || 90 || 106 ||  || 21 || 72 || 38 ||
 * 9 || 63 || 33 ||  || 22 || 74 || 51 ||
 * 10 || 82 || 80 ||  || 23 || 147 || 640 ||
 * 11 || 114 || 197 ||  || 24 || 76 || 42 ||
 * 12 || 69 || 36 ||  || 25 || 86 || 90 ||
 * 13 || 86 || 83 ||  ||   ||   ||   ||

__Using Your Statistical Reasoning-3Bii. What relationship with length and width do you notice between alligators that are 82, 85 and 86 inches long?__ They are in the middle, not too long but not too short, but they are about as heavy as they are long. Gator #10, is 82 in. long and 80 lbs. heavy. Gator #3, is 85 in. long and 84 lbs. heavy. Gator #20, is 86 in. long and 80 lbs. heavy. They are all (length and width) in the 80's. 82, 85 and 86 in. long and 80, 84 and 80 lbs. heavy.

__Using Your Statistical Reasoning-3Biii. What relationship with length and width do you notice between alligators that are 90, 94 and 114 inches long?__ They are a bit long, and they are heavy. Gator #8 is 90 in. long and 106 lbs. heavy. Gator #2 is 94 in. long and 110 lbs. heavy. Gator #11, on the other hand is 114 in. long and 197 lbs. heavy. Gator #2 and 8 are in the 90's for length and the early 100's for weight. But Gator #11 is in the early 100's for length and the late 100's for weight.

__Using Your Statistical Reasoning-3Ci. How heavy would you predict for an alligator that is 70 inches long?__ I predict that it would be about 45 to 55 lbs. heavy because the range for the alligators' weights that were from 72 to 78 in. long was 38 to 57. But most of them were around 50 lbs. There could also be a bit lighter alligator so I put that I predict that for an alligator that is 70 in. long, it would be about 45 to 55 lbs. heavy.

__Using Your Statistical Reasoning-3Cii. How heavy would you predict for an alligator that is 100 inches long?__ I predict that it would be about 200 lbs. heavy because the alligator's weight that was 114 in. long was 197. If you round 197 you get 200 so I put that I predict that for an alligator that is 100 in. long, it would be about 200 lbs. heavy.

__Using Your Statistical Reasoning-3Ciii. How heavy would you predict for an alligator that is 130 inches long?__ I predict that it would be about 350 lbs. heavy because the alligator's weight that was 128 in. long was 366. If you round it to the nearest 50 you get 350 so I put that I predict that for an alligator that is 130 in. long, it would be about 350 lbs. heavy.

__Using Your Statistical Reasoning-3D. Based on your study for the alligator length and weight data, do you think it's possible to make an estimate for the weight of an alligator if you know it's length?__ I think it is possible because if you know how heavy the alligators are that are close to how long your alligator is, then you could estimate and round and find a good estimate. I just did that because I used the table of the lengths and widths of alligators and tried to find an estimate for the weights of certain alligators. I am pretty sure that they will be close.

__Explaining Your Reasoning-1. How do the mean and median help describe numbers in a data set?__ They help because the mean and the median are a part of "average". If you know the mean and the median, you can kind of guess what kind of numbers are in the data set. Especially the median because you know that the numbers in the data set will probably be around the median.

__Explaining Your Reasoning-2. How does the range help describe numbers in a data set?__ The range helps a lot because you know where the numbers are. Like if the range is 20 to 30 then you know that the numbers in the data set are between 20 and 30. So this means that you know what sort of numbers are in the data set, and you know the general numbers.

__Explaining Your Reasoning-3A. What kind of numerical data is best displayed with line plots?__ I think that numbers that show one sort of data from many people is best displayed with line plots. For example, if a class was doing a survey on bedtimes, the question would be "What time do you go to sleep?" and the answers would be 8 o'clock, 8:30, 9 o'clock, 9:30 etc. But if the question used 2 sorts of data, like what month and day is your birthday, that is hard to put in a line plot, because a line plot only has the x axis but for the question "What month and day is your birthday?" you need the x //and// they y axis.

__Explaining Your Reasoning-3B. What kind of numerical data is best displayed with stem-and-leaf plots?__ I think that if you are comparing one set of data to another set of data, then it is best displayed with stem-and-leaf plots. For instance, if 2 classes collected data from each of their students and they wanted to compare how each class did, then you could make a back-to-back stem-and-leaf plot. Also, if you have a lot of data and you want to organize it in order from smallest to largest you can make a stem-and-leaf plot because the plot puts them in order.

__Explaining Your Reasoning-3C. What kind of numerical data is best displayed with coordinate graphs?__ I think that if you have data in which you need to have both x and y axis then it is better to graph it in coordinate graphs because it has both x and y axis. If the question was "Which month and day is your birthday?" then you need a coordinate graph to graph both month and day. That is when it is best to use a coordinate graph.

__Explaining Your Reasoning-4. What does it mean to say that someone's armspan is //related// to his or her height, or that the time it takes to go to school is //related// to the distance traveled or that the weight of an alligator is //related// to its length?__ I think that it means that someone's armspan is dependent on his or her height, and that the time it takes to go to school is dependent on the distance traveled, and that the weight of an alligator is dependent on it's length because if someone is 160 cm tall then their armspan cannot be 200 cm. It has to be somewhere around 160, like 159. If the distance traveled is 1 km then you cannot take 5 hours to go to school, more like 10 minutes. If an alligator is 90 inches long, then they cannot be 600 pounds heavy, because that does not make sense. It would have to be about 110 pounds heavy. I think that is what //is related to// means.