Akumar+Wiki+Assignnent+3

Archita Kumar Date of submission:November Due date:December 6th, 2010 Date asigned:November 8th, 2010 Math block 6G Wiki Assignment 3 Topic: Data About Us ,Making Graphs using Technology

Looking back and Looking ahead unit reflections

1. Consider the lenghth of the alligators in the sample

a. Make a table and a graph of the lenghths of the 25 alligators and write a sentence about the distribution of lenghths

Table of alligator data -

number ||= length (inches) || Bar Graph of lengths of alligators -
 * = gator
 * = 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 ||



There is a little difference between the height of some of the bars in the bar graph but mostly there are alligators with short lengths. Every things is almost the same except the 3 outliers b. What are the mean and the median lengths?

The mean length is 84.96 The median length is 85

c. What is the range of the lengths?

The range is from 58 to 147

2. Consider the weights of the alligators in the sample number ||= weight (pounds) ||
 * = gator
 * = 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 ||

a. Make a graph of the weights of the 25 alligators and write a sentence describing the distribution of weights shown in the bar graph below



The weights are lower than the length but there are two outliers which are 640 pounds and 366 pounds.

b. What are the mean and the median weights?

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

c. What is the range of the weights?

The range of the weights is from 28 to 640 pounds

3. Explore the relationship between the length and weight ao Florida alligators

a. Make a coordinate graph of the length and weight data



b. What is the relationship between do you notice between length and weight of alligators that are - 1. 61 and 63 inches long? The alligators who are 61 and 63 inches long have weight of 44 and 33 pounds that their length is more than their weight

2. 82, 85, 86 inches long? The alligators who are 82, 85, 86 inches long have a weight of 80, 84 and 80 pounds. This shows that the alligators have their weight more than their length

3. 90, 94 and 114 inches long? The alligators who are 90, 94 and 114 inches long have a weight of 102, 130 and 197 pounds and their weight is a lot more than their length and are extremely heavy.

c. What weight would you predict for an alligator that is - 1.70 inches long An alligator which is 70 inches long might have weight around 60 pounds.

2.100 inches long An alligator which is 100 inches long might have a weight around 110 poounds

3.130 inches long An alligator which is 130 inches long might have a weight around 145 pounds

d. Is it possible to make a good estimate for the weight of an alligator if you know its length?

Yes, it is possible to estimate an alligators weight if you know its length because mostly the weight is close to the length as the median weight and the median height of the 25 alligators doesn't show a lot of difference between them.

Explain Your Reasoning

1. How do the mean and median help in describing the numbers in a data set? The mean is a type of an average and median is the middle number of the data set and they help in telling the average of the data set which helps us in comparing and in finding the typical. eg. The Data - median - 5 as its in the middle mean - 5 all the data values added - 25 number of students - 5 25 / 5 is 5
 * name || pets ||
 * Carla || 6 ||
 * Rebecca || 2 ||
 * Eddie || 9 ||
 * Marry || 3 ||
 * Michael || 5 ||

2. How does the range help in describing the numbers in a data set? The range tells us the smallest and the largest number in a data set and from where the data values start and end. eg.The Data -
 * name || age ||
 * Martha || 14 ||
 * Robin || 9 ||
 * Lucy || 12 ||

Starting data value - 9 Ending data value - 14 so the range is from 9 - 14 3.. What kinds of numerical data are best displayed with - a) stem and leaf plots Data that doesn't have large numbers and are easy to compare can be shown in a stem and leaf plots

b) line plots Data that doesn't have many data values on the same number or doesn't have a lot of data values on the mode can be shown in a line plot

c) coordinate graphs Data that is large and have to be shown at two different places or have to be compared can be easily shown in a coordinate graph

4. What does it mean to say that a person's arm span is related to his or her height, or that that time it takes to travel to school is related to the distance traveled, or that the weight of an alligator is related to its length? It means that if you know a person's arm span then you can know something about its height or if you know how much it time it takes to travel to school you can know something about the distance that he or she travels