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Math ISU - The Culminating Project

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Lydia Canfield

on 18 January 2013

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Transcript of Math ISU - The Culminating Project

Subtopic #2 Continued... k 15-19 20-24 25-29 Ages Compared Subtopic #3 0 + - = 9 8 7 1 2 3 4 5 6 c Note to self... References: SUBTOPIC #2 Population: Analysis: Final Conclusions: In conclusion, I have observed a couple things from each of my subtopics, showing that parts of my hypothesis were correct and others were incorrect: SUICIDE RATES Subtopic # 1 MDM 4U
Lydia Canfield
01/17/2013 Introduction MY HYPOTHESIS: I predict that in general, males will have higher suicide rates than females in Canada.
For the age groups, I predict that the age group of 20-24 will have the highest male and female suicide rates, and the age group of 10-14 will have the lowest.
I also predict that the province or territory with the most amount of suicides will be Ontario and that Nunavut will have the least. Hypothesis Explained: I predicted that males are more likely to commit suicide then females, because males deal with a combination of social pressures to succeed and make a lot of money, and they contain little tolerance for failure in their career and in general.
Men are less likely to seek treatment for treatable psychiatric problems like depression or anxiety disorder, schizophrenia, and more. Men apply far more violent and effective ways to carry out suicide than females, so they would be more likely to participate in the action. Although the different age group suicide rates will vary, I still believe that the male rates will be higher than the female rates in most cases... I think that the age groups with the lowest suicide rates will be 10-14 year-olds, because this age group consists of males and females that are so young, so their rates will most likely be the lowest. I predict that the age group with the highest amount of suicide rates will be the 20-24 year olds, because this group of males and females are usually in University, College, or choosing a career, so they are undergoing many social and educational pressures that might resort them to the option of suicide. I will be looking at... Genders
Age categories
Years
Provinces and territories (of Canada) Independent Variable(s): The years from 2000-2009 Dependent Variable(s): The number of deaths by suicide in males and females of different age categories Population: Males and females of different age categories (ages 10-14, 15-19, 20-24 and 25-29) in Canada who have completed the action of suicide Independent Variable(s): Each province or territory in Canada including: Newfoundland and Labrador, Prince Edward Island, Nova Scotia, New Brunswick, Quebec, Ontario, Manitoba, Saskatchewan, Alberta, British Columbia, Yukon, Northwest Territories and Nunavut Dependent Variable(s): The number of deaths by suicide in males and females of all ages What is Suicide? If you didn't already know, suicide is the action of killing oneself intentionally. I think that females’ attempts at suicide are weaker than males because they are not as likely to carry out violence, and sometimes their attempts are just cries for attention; whereas when males attempt suicide, most of the time they want it to kill themselves immediately. Details From the website Statistics Canada (http://www5.statcan.gc.ca/cansim/a47), I have gathered information from 2 tables regarding number of deaths by suicide. The first table includes gender (males and females), different years (2000-2009), and I have narrowed my information down to the following age group categories: all ages, 10 to 14 years, 15 to 19 years, 20 to 24 years and 25 to 29 years. My second table includes gender (males and females), different years (2000-2009), and also displays the rates for each province and territory in Canada. I will be either proving or disproving my hypothesis to you through a variety of graphs, touching on each one and how it relates to my topic. Possible Sources of Error Because I collected my data from Statistics Canada, it was difficult to get exactly what information I intended on for my experiment. Statistics Canada has such a large amount of data with broad subjects, so I narrowed my subtopics into gender, age, province or territory and time (years). I did not gather my information on my own, primarily because it would be impossible to survey Canada as a census, so I used Statistics Canada because it is a reliable source for my data. Of course, by using Statistics Canada, I knew my data was coming from a reliable source and that there would be little to no bias. However, error may have occurred in the event that I only used 5 age categories instead of them all; and based my experiment and hypothesis on those categories. Provinces and Territories Compared to Male and Female Suicide Rates Males and females of all ages, in each province/territory of Canada, who have completed the action of suicide Legend: 1 -
2 -
3 -
4 -
5 -
6 -
7 -
8 -
9 -
10 -
11 -
12 -
13 - NL
PE
NS
NB
QC
ON
MB
SK
AB
BC
YT
NT
NU Analysis: 1 -
2 -
3 -
4 -
5 -
6 -
7 -
8 -
9 -
10 -
11 -
12 -
13 - Legend: NL
PE
NS
NB
QC
ON
MB
SK
AB
BC
YT
NT
NU Age categories (10-14, 15-19, 20-24 and 25-29) compared to suicide rates From this graph we know... The Q1 value = 13.5
The Q3 value = 18.5
The IQR value = 5 (18.5 - 13.5 = 5) The percentiles are: (standard deviation = 4.60072) Number of Deaths by Suicide Number of Deaths From this graph we know... The Q1 value = 10
The Q3 value = 17.5
The IQR value = 7.5 (17.5 - 10 = 7.5) The percentiles are: (standard deviation = 5.03874) = 13th percentile = 87th percentile Lower to Median: Upper to Median: From this graph we know... The line of best fit for each gender.
The equations of the lines of best fit: Males: y = -4.091 x + 8349 Females: y = 0.824 x + 1598 The correlation coefficient: Males: Females: From this graph we know... There is evidence of a UNIFORM DISTRIBUTION occurring in both male and female sections of the graph, because each outcome has a similar frequency. There is typically no mode in this type of distribution, but in this case there is a mode for both males and females: MALES Mean: 227.4
Median: 225.5
Mode: 204 FEMALES Mean: 57.5
Median: 56
Mode: 54 From this graph we know... The equations of the lines of best fit: Males: y = -3.139 x + 6500 Females: y = 0.721 x + - 1392 The correlation coefficient: Males: Females: r = 0.51 r = r = 0.69 r = 0.31 From this graph we know... The line of best fit for both genders The equations for the lines of best fit: Male: Female: The correlation coefficients: Male: Female: r = 0.084 r = 0.105 y = -10.2 x + 390 y = -41.2 x + 1380 There is evidence of a U-SHAPED DISTRIBUTION occurring in both male and female sections of the graph, because there are peaks at either end of the range.
Although, one peak is a bit shorter so some may argue that this is even mound shape distribution. From this graph we know... MALES
Mean:
Median:
Mode: FEMALES
Mean:
Median:
Mode: 1080.15 409 no mode 339.69 103 no mode From this graph we know... The line of best fit for both genders The equations for the lines of best fit: Male: Female: y = -20.3 x + 800 y = -84.9 x +2760 The correlation coefficients: Male: Female: r = 0.115 r = 0.083 Years (2000-2009) compared to suicide rates in males & females ages 10-29. Population: Males and females in Canada of ages 10-29, who have completed the action of suicide Independent Variable(s): Years (from 2000-2009) Dependent Variable(s): Number of deaths by suicide in males and females of ages 10-29. From this graph we know... Analysis From these graphs, we can conclude to say that the male suicide rates are higher than female suicide rates, as it is shown in each graph. The male rates are higher than the female rates consistently through 2000-2009. The province with the highest suicide rates is Quebec, followed by Ontario, and the territory with the lowest suicide rate is Yukon, followed by the Northwest Territories. Provinces with the highest suicide rates Provinces with suicide rates in between Territories with the least suicide rates From this graph we know... The line of best fit for each gender The equations of the lines of best fit: Males: Females: y = -0.321 x + 3460 y = 11.37 x - 21930 The correlation coefficients: Males: Females: r = 0.01 r = 0.78 From this graph we know... There is evidence of a UNIFORM DISTRIBUTION occurring in both male and female sections of the graph, because each outcome has a similar frequency. There is typically no mode in this type of distribution, so I could not find that part of the summary. MALES Mean:
Median:
Mode: 2820.1 2824.5 no mode FEMALES Mean: Median: Mode: 858.6 870.5 no mode From this graph we know... The Q1 value =
The Q3 value =
The IQR value = (standard deviation = 90.84963) The percentiles are: Lower to Median: Upper to Median: = = From this graph we know... The Q1 value =
The Q3 value =
The IQR value = The percentiles are: (893.5 - 812.5) (standard deviation = 44.24728) Lower to Median: Upper to Median: = = 2730.5 2886.5 156 (2886.5 - 2730.5) 9th Percentile 91st Percentile 812.5 893.5 81 91st Percentile 9th Percentile From this graph we know.. MEAN: 3907.5 MODE: males (qualitative) From looking at these graphs, we can conclude first off to say that males had an overall higher suicide rate than females. Compared to gender, ages and provinces/territories in Canada. Lastly, I predicted Ontario to be the province with the most deaths by suicide, because it is the largest populated province in Canada. Likewise, I predicted Nunavut as the territory with the least deaths by suicide, because it is the least populated territory in Canada. The only age group that I believe will have a higher female than males rate is the 15-19 year-old girls, because at this age for girls it is hard to be socially excepted, as there are many pressures to fit in and the media has a huge impact. Although there are many variables that will affect the different rates, I am basing my hypothesis from the populations graph (collected from Statistics Canada) and my general knowledge. I predicted Ontario as the province with the highest suicide rates because it is the largest populated province in Canada.
I predicted Nunavut as the territory with the least suicide rates because it is the least populated territory in Canada. females males Lower to Median: Upper to Median: = 16th Percentile = 84th Percentile 0.24 Total number of deaths by suicide in Canada from 2000-20009, ages 10-29: 7,815 Deaths by Suicide, Males vs. Females, Ages 10-29 (2000-2009) (Cananda) Mean:
Median:
Mode: 976.88 560.5 males ages 20-24 (qualitative) From looking at these graphs we can conclude to say that the age group with the least amount of male AND female suicide rates is ages 10-14.
We can also conclude to say that the age group with the highest amount of male AND female suicide rates is ages 20-24. Another aspect of these graphs that was noticed was that all male suicide rates were higher than female rates, in each graph. Number of Deaths by Suicide, Males vs. Females, Ages 10-29 (Canada) Number of Deaths by Suicide in Males vs. Females, Ages 10-29 (Canada) Deaths by Suicide in Males, Ages 10-29 (Canada) Deaths by Suicide in Females, Ages 10-29 (Canada) In the male eqaution of the line of best fit, the m value is a negative number, telling us that over time this trend will slightly decrease. ( y = -0.321 x + 3460 ) Although, in the bar graph there is evidence of a uniform distribution, which tells us that the rate of suicide for both genders is staying slightly constant. In this experiment, I am mainly focusing on males and females from the ages of 10-29. The only time I will be talking about all ages is when I looking at the different province and territory graphs. I used Fathom and other websites to create my graphs, to produce accurately-displayed results.
By: Lydia Canfield Thank-you for watching. Have a nice day. Statistics Canada: Canada's national statistical agency. (n.d.). Statistics Canada: Canada's national statistical agency / Statistique Canada : Organisme statistique national du Canada. Retrieved January 17, 2013, from http://www.statcan.gc.ca/start-debut-eng.html Create A Graph. (n.d.). National Center for Education Statistics (NCES) Home Page, a part of the U.S. Department of Education. Retrieved January 17, 2013, from http://nces.ed.gov/nceskids/createagraph/ Box and Whisker Plot Maker : Free online tool. (n.d.). Interactive Math Activities, Demonstrations, Lessons with definitions and examples, worksheets, Interactive Activities and other Resources. Retrieved January 17, 2013, from http://www.mathwarehouse.com/charts/box-and-whisker-plot-maker.php Google Images. (n.d.). Google Images. Retrieved January 17, 2013, from http://images.google.ca/ After looking at each of my graphs comparing suicide rates to each province and territory, I can conclude to say that with a higher population comes higher suicide rates. Although that is just a general statement, because according to my results, Quebec was the province with the highest rates, and it is only the second most populated province in Canada. Yukon, too, had the lowest suicide rates, and it is the second least populated territory in Canada. When looking at my different age group graphs, I can conclude that there is a mound-shaped distribution throughout the age categories overtime, with the age group 20-24 being at the peak. Therefore, my hypothesis based on provinces and territories was not correct for this subtopic, but somewhat close. My general hypothesis that male rates would be higher than female rates, however, was proven through these graphs. This is because the age group 10-14 had the lowest rates, followed by the 15-19 group, and then the peak was at the 20-24 group, who had the highest rates. The 25-29 age group decreased a bit after. From this knowledge, I can state that my hypothesis was correct in terms of predicting which age groups would have the highest and lowest rates. My general hypothesis that male rates would be higher than female rates was also proven through every graph. As I looked over my third and final subtopic's graphs, I found and can conclude to say that in Canada, males contain a higher suicide rate than females. Every type of graph including pie chart, bar graph, box and whisker and scatter plot showed that the number of deaths by suicide in males were surpassingly higher than females. Therefore, I can state that my general hypothesis was proven correct. Other Observations: The only age group that I figured the female rates would be higher than the male rates was ages 15-19. However this hypothesis was incorrect. If I added all the 15-19 year-old male deaths from 2000-2009, I would get: 1,487 If I added all the 15-19 year-old female deaths from 2000-2009, I would get: 546 1487 546 = 2.7234432 almost 3 : 1 males for every female. Another thing I observed in each scatter plot graph for the male equation of the line of best fit, was that the m (slope) value was always negative. This tells us that the trend of the graph is decreasing as time goes on, so according to the data I have collected, male suicide rates are very slowly decreasing. I also observed in each scatter plot graph for the female equation of the line of best fit, was that the m (slope) value was mostly positive. This tells us that the trend of the graph is increasing as time goes on, so according to the data I have collected, female suicide rates are very slowly increasing. For further studies... I would want to further my studies on this topic by looking at males and females of ALL ages in Canada.
I could even look at the rates of suicide in males in females in other countries in the world, to see if there are any higher female rates than male rates.
Because Statistics Canada narrowed down my age options into categories, I could not get to the real stats I wanted.
It would also be good to know the stats of previous years, and more recent years to compare.
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