Mpandey+Wiki+Assignment+3

Mallika Pandey Date of Submission: November 21st 2010 Due Date: December 6th 2010 Date Assigned: November 8th 2010 Math 6E Wiki Assignment 3 Making Graphs Using Technology: Data About Us Looking Back and Looking Ahead: Page 69-70

__1a. Make a graph and a table on the lengths of all the 25 alligators and write a sentence explaining and describing the distribution of the lengths along the graph..__


 * Gator Number || Length (in inches) ||
 * 1 || 74 ||
 * 2 || 94 ||
 * 3 || 85 ||
 * 4 || 61 ||
 * 5 || 128 ||
 * 6 || 72 ||
 * 7 || 89 ||
 * 8 || 90 ||
 * 9 || 63 ||
 * 10 || 82 ||
 * 11 || 114 ||
 * 12 || 69 ||
 * 13 || 86 ||
 * 14 || 88 ||
 * 15 || 58 ||
 * 16 || 90 ||
 * 17 || 94 ||
 * 18 || 68 ||
 * 19 || 78 ||
 * 20 || 86 ||
 * 21 || 72 ||
 * 22 || 74 ||
 * 23 || 147 ||
 * 24 || 76 ||
 * 25 || 86 ||



The lengths vary from range of 58 inches to a 150 inches. I think that most of the lengths are clustered between 70 inches and 90 inches.

__1b, Find out what the mean and median lengths are.__

The mean length is 84.96 inches. The median length is 85 inches.

__1c. Find the range of the lengths.__

The range of the lengths is 58 inches to 147 inches.

__2a. Make a graph and a table on the weights of all the 25 alligators and write a sentence explaining and describing the distribution of the weights along the graph.__


 * Gator Number || Weight (in 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 ||



The weights vary within a range of 28 pounds to 640 pounds. There are 3 outliers as presented on the side above: 197, 366, and 640 inches. Many of the weights are clustered within 30 pounds and 90 pounds.

__2b. Find out what the mean and median weights are.__

The mean weight is 108.2 pounds. The median weights is 80 pounds.

__2c. Find the range of the weights.__

The range of the weights is 28 pounds to 640 pounds. BIG difference!!!

__3a. Make a coordinate graph on the alligator length and weight data.__

__3b. What relationship can you notice and point out between length and weight data of alligators that are__

i. __61 and 63 inches long?__ I can see that their lengths are almost twice the amount of their weight. They both have a multiple of 11 as their weight. But even though there is a small difference between the lengths, the difference between their weights is much bigger. This just proves that you can't really figure out what the weight of an alligator is if you know its length.

ii. __82, 85 and 86 inches long?__ This set of alligators are a whole different story. The range of their weights lie between 80 and 90 which is then in contrast to the first problem. The lengths in this set of numbers are only 2 or 3 numbers away from their weight.

iii. __90, 94 and 114 inches long?__ I notice that both the alligators that are 90 inches long have weights that are very close to each other: 102 pounds, and 106 pounds. In comparison to alligators that are 90 inches long, the alligators that are 94 inches have weights that are close together as well: 110 and 1130 pounds. As for 114 inches, It is an outlier, maybe because the alligator is longer than the other alligators: 197 pounds.

__3c. What weight would you say or predict for an alligator that is__

i. __70 inches long?__ I would say that a good prediction would be 43 pounds. I say this because I added up the lengths that were within a 2 inch radius of 70. These are 68, 69, 70, 71, and 72 inches. I added the lengths that fell within this range and divided by 4, 43 was the mean so I thought it was a good prediction.

ii. __100 inches long?__ I think that a good prediction would be 112 pounds. I say this for the same reason as the problem above with a slight change. I changed the radius to 10 inches due the lack of numbers in a two-inch radius of 100 inches. I added the lengths, divided by 4 and got the mean, 112 pounds.

iii. __130 inches long?__ I think that a good prediction for 130 inches would be 401 pounds. Again, for the same reason above but with a slightly wider radius. I had to change the range to 20 inches because one length would not be enough data. I added the lengths that fell within the radius and divided it by 3 this time and got the mean and my prediction, 401 pounds.

__3d. Do you believe it is possible to make a good prediction or estimate for the weight of an alligator if you know the alligator's length, based on your study of the alligator length and weight data???__

I believe that if you knew what the alligator's length is, you could make a pretty good guess on how much it weighs. I believe this because if you took say, two of the same length alligators and tried to calculate both of their weights, you might be able to guess their weight by knowing that it was close to it. Example: Gator # 2 94 inches, Gator # 17 94 inches. Their weights are 110 and 130 inches. They are pretty close. Even though they were both the same length, one of them might be more wider than the other (have a greater surface area from a bird's eye view). This is my opinion on that.

__EXPLAIN YOUR REASONING__

__EYR: 1. How do the mean and median help in describing numbers in a data set?__

The mean and median help you visualize numbers more clearly in a data set. The median helps you by giving you an understanding of what the range of the data set is. An example of that is: Households Median

The mean helps you understand the numbers in the data set clearly. The mean gives you an idea of what number make up the data set. An example of that is: The mean, 490.67, may give you an idea that the numbers in the data set are big numbers. This is because if the numbers were low or under 200 say then that would make the mean smaller. For example, as I learned in Investigation 5 Problem 5.5 Follow Up, If you add one or more value that are much larger that the values in the data set, in this case would be 890, the mean is increased.

__EYR: 2 How does the range help in describing or explaining numbers in a data set?__

The range gives you a pretty good idea of the numbers that fall in between the two numbers that form the range. For example, if the range of dogs owned was 0-14, you would probably guess that the number of dogs owned data set might be several people in 2 or 3 or 4 because that would be a reasonable and realistic estimate. Of course knowing the data set would help. And it would help if you knew how many values there were in the data set. An example of the range describing numbers is: The range gives you a chance to create a logical and realistic guess or prediction on what the values are in the data set.

__EYR: 3. What kinds of numerical data are best displayed or organized with__

__a: Line Plots?__

Line Plots are used to easily organize and display one group of data. So if you were going to make a graph on households of your class, you would choose a line plot to display it because it focuses on one group of data at a time. Line Plots only have a X axis. This is an example of displaying households on a line plot.



__b: Stem and Leaf Plots?__

Stem and Leaf Plots are used to show frequency or to graph large amounts of data. If you were going to graph 38 values of heights of students, you probably would use a stem and leaf plot because it is graphed together and the values are graphed in a way that makes them crowded yet organized. This is an example of a stem and leaf plot of displaying 30 heights of students.



__c: Coordinate Graphs?__

Coordinate Graphs are used to help compare and contrast two data sets with a X and Y axis. They are also used to find relations between the two data sets. If you were going to graph two data sets such as Buy and Sell (the product business), the x axis could be the price you bought the product, and the y axis could be the price you are going to sell the product bought. You could see the profit that you made too! This is an example of a Buy and Sell coordinate graph.



__EYR: 4. What does it mean to say that two things are //related// to one another? Height //related// to arm span? Time traveled to school //related// to distance traveled? Or Weight of an alligator is //related// to its length?__

For two things to be related to one another practically means the comparisons between two things and how they compare in different levels in math. For example, for a persons' arm span to be related to their height probably means the comparison or how the height is compared and connected to their armspan. Relations between two objects or things are connections and comparisons between them.