Mammals Project By: Charlie Carrick 9C Task 1: Species Body Weight (g) Brain Weight (kg) Goat Baboon Giant armadillo Gray wolf Giraffe Gorilla Jaguar Kangaroo Roe deer Pig Horse Sheep Donkey Gray seal Tiger 28 11 60 36 529 207 100 35 15 192 521 56 187 85 200 115 180 81 120 680 406 157 56 98 180 655 175 419 325 B ody Weight vs B rain Weight 800 Brain Weight (g) 700 600 500 400 300 200 100 0 0 100 200 300 400 500 600 Body Weight (kg) a) The correlation between the body weight and the brain weights are positive and continuous. I used the graph to show the correlation more clearly. As you can see, the data is all clustered around the line of best fit. This is a very good sign, but the line of best fit does not start at 0, so there is an imperfection in the data collected. For some animals, however, like the gray seal, gorilla, and the pig, the correlation is weak. One very strong correlation is the one of the giraffe. The brain weight is 680 and the body weight is 529. The range is 151. Some other animals that have strong correlations are the roe deer, gray wolf, and the goat. Using a scatter graph as a method is good because using the line of best fit, you can see what kind of correlation there is and it is easier to read. A disadvantage of using this method is that it doesn’t tell you why not all of the animals are near to the line. b) B ody Weight vs B rain Weight 800 Brain Weight (g) 700 600 500 400 300 200 100 0 0 100 200 300 400 500 600 Body Weight (kg) To find an estimate of the brain weight of a Bengal tiger, I find 200 kg’s on the x axis and draw a line up to the line of best fit. I then draw another line going across to the y axis and see what number the line ends at. This would give me an estimate of around 320 g. This is a good estimate, but a disadvantage is that a tiger could have a different brain weight to body weight ratio and then the graph would be showing us the wrong answer. c) B ody Weight vs B rain Weight 1400 Brain Weight (g) 1200 1000 800 S e rie s 1 600 L in e a r (S e rie s 1 ) 400 200 0 0 100 200 300 400 Body Weight (kg) 500 600 Compared to the previous results I collected, the ratio of brain weight to body weight is way off for a human. A human has the heaviest brain and it is way off the line of best fit. I would have expected it to be up where the giraffe was, having a heavier brain than the other animals. I think this tells us why we have advanced so much more than the other animals; we have a lot heavier brains. d) B ody Weight vs B rain Weight 800 Brain Weight (g) 700 600 500 400 300 200 100 0 0 100 200 300 400 500 600 Body Weight (kg) I am estimating the cow brain weight the same way I did for the tiger, by drawing a line up to the line of best fit and across to the y axis, recording the number I land on. The estimate for a cow’s brain weight is around 600 g. e) To find the brain weight of an elephant, I am going to find a connection between the body and brain weight of a cow. The ratio for a cow is 600g: 465kg. This doesn’t work when the numbers are like this because grams and kilograms are two different measurements, so I am going to make them both kilograms. There are 1000 grams in a kilogram, so 600 g in kilograms is 0.6kg, making my ratio 465kg: 0.6kg. 465 divided by 0.6 is 775. The body weight of an elephant is 6650kg. 6650 divided by 775 is 8.6 kg. That is 8600 grams. f) The real brain weight of a cow is 423g and the brain weight of an elephant is 5712 g. Both of my answers are way too high, telling me that my method didn’t work very well. Maybe the ratios are too heavy on either the brain or body weight for the graph, like the animals that are not near the line. This shows that my method has limitations and is not as accurate and reliable as I was led to believe before. Also maybe the way I worked it out for the elephant was wrong, because all I did was times it by 775. This could only apply to cows, so this could be wrong too. Task 2: a) Gestation Time (days) L ifes pan vs Ges tation Time 450 400 350 300 250 200 150 100 50 0 0 5 10 15 20 25 30 35 40 45 50 Max. L ifespan (years) There is an obvious correlation between the lifespan and gestation time and it is a strong, positive correlation. I have used a scatter graph with a line of best fit. This is easy to see the correlation and there is only one animal that is way off the line; the giraffe. Using a scatter graph is very useful because it shows which animals are different from the others very easily and the line of best fit shows you very well the patterns in the data. This graph does not begin at 0, so something must have gone wrong when the data was collected. The accuracy of the results are very good and you do not need to explain very much, it is clearly shown, but maybe you would need to talk about the giraffe and why it is not near the line like all of the other animals. b) Gestation Time (days) L ifes pan vs Ges tation Time 450 400 350 300 250 200 150 100 50 0 0 5 10 15 20 25 30 Max. L ifespan (years) 35 40 45 50 To find the gestation time of an armadillo, I will need to find the maximum lifespan of a giant armadillo, which is 7. From this, I will find 7 on the x axis, draw a line up to the line of best fit and across to the y axis. When I follow these steps, the line I drew lands on around about 10 days. This is not very accurate because it is hard to see where exactly it lands on the line, having the first value as 50. Also, none of the other animals fall exactly on the line, so the armadillo may be the same and is either above or below the line, it is hard to tell. b) The human gestation time, compared to our maximum lifespan is very short. We have the second smallest gestation time, but we have 60 years longer to live than the animal with the highest lifespan! A kangaroo has the smallest gestation time and the second smallest lifespan. I think this is because possibly the kangaroos breed frequently, so the have the fetus for a short span of time and then they do not live for as long because there are a lot of them being born. Task 3: I am going to compare hour of sleep per day and predation index because how often you are hunted can depend on how much you sleep each day. I will use a scatter graph again and put in a line of best fit to see the outcomes. Hours of S leep Per Day vs Predation Index 5 Predation Index 4 3 2 1 0 -1 0 2 4 6 8 10 12 14 16 18 20 Hours of S leep Per Day This graph tells me that the more hours of sleep the animals get, the lower they re on the predation index. The animals with 5 on the predation index are the ones most likely to be preyed upon and the animals with 1 on the predation index are the ones least likely to be preyed upon. On this graph, the animals with the least amount of sleep each day are high up on the predation index, so that must mean they get as little sleep as possible because it is easy to be preyed upon in your sleep. The animals that get a lot of sleep have less to worry about, so they can get their sleep. Task 4: Tiger Population in 1998 Tiger Population in 1998 4000 3500 3000 2500 2000 1500 1000 500 0 B a n g la d e s h B h u ta n C h in a In d ia M y anpur N epal Countries I have chosen a bar graph to present the tiger population in 1998 because it shows clearly the distribution and which countries had more tigers than others. I think a bar graph is a good idea because it shows each country individually alongside others. A disadvantage is that it doesn’t show the percentage of the distribution. A different graph could be a pie graph because it would show the tiger population in percentages in relation to each other. A disadvantage of this would be that it would not show the tiger population and how many there are because you wouldn’t know where the percentages came from and whether it came was 10% of 1,000 tigers or 360,000 tigers. Task 5: Number of Tigers Tiger Population in India 5000 4500 4000 3500 3000 2500 2000 1500 1000 500 0 1970 1975 1980 1985 1990 Year 1995 2000 2005 As you can see by looking at the graph, my line is actually curving and going through each of the points in a curve. This is a better method for showing trends. It shows there was a huge rise in numbers at the beginning and now it has declined again a little, but it has stabilized. This method is good for it is very reliable when you want to see progress over a period of time and see the changes that have occurred. An alternative method for showing this data would be to show it as a bar graph. This would show the data compared to each other, but it wouldn’t show the trend over time. I think the government has been very effective and they obviously worked really hard at the beginning when it had their full attention, but they slipped a bit recently and now it looks stabilized and the overall tiger population has increased. Task 6: My first decision for an extra graph is to make one on the body weight and the maximum lifespan of the languages. Maybe the heavier ones don’t live as long as the light and nimble ones. Maximum L ifespan (years) B ody Weight vs Maximum L ifes pan 50 45 40 35 30 25 20 15 10 5 0 0 100 200 300 400 500 600 Body Weight (kg) The correlation isn’t very strong, but it is positive. It seems that the heavier the animal, the longer they live. I made the opposite guess to the graph, because the animal with the longest life span was very heavy. I chose this graph because I wondered if the weight of the animals made them die earlier either by being preyed upon, or because their weight makes them slow, but I was wrong. Heavy animals like the horse and the giraffe live for a long time, but they are each over 500kg’s. My second decision for task 6 is to look at four different kinds of chimpanzees and compare their different populations. Population of chimpanzees in 2003 in Africa P o 120000 p 100000 u80000 l60000 a 40000 t 20000 i o 0 n Eastern chimpanzee Western chimpanzee Central chimpanzee Nigeria chimpanzee Type of chimpanzee The blue bars are the minimum population and the purple ones are the maximum population. I used this method because I was given two sets of data for each species, so I put the smallest in one bar and the biggest in a different colour bar right next to it. This chart tells us very well that the eastern chimpanzee has the highest population followed by the central chimpanzee. The western chimpanzee has half of that, but the Nigeria chimpanzee’s numbers seem to be bordering on extinction. This tells me that in certain parts of Africa, either habitats are being destroyed or there are poachers killing them. By: Charlie Carrick 9C