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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
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.