Year++10+A+Statistics+and+Probability

=**Statistics and Probability**=

**Data representation and interpretation**

 * 1) ===Calculate and interpret the [|mean] and [|standard deviation] of [|data] and use these to compare [|data] sets [|(ACMSP278)]===


 * Check this out before you start**

**http://www.ted.com/talks/arthur_benjamin_s_formula_for_changing_math_education.html#.TsxctpIhUeo.email**


 * Probability is ordinarily used to describe an attitude of mind towards some proposition of whose truth we are not certain. The proposition of interest is usually of the form "Will a specific event occur?" The attitude of mind is of the form "How certain are we that the event will occur?" The certainty we adopt can be described in terms of a numerical measure and this number, between 0 and 1, we call probability. The higher the probability of an event, the more certain we are that the event will occur. Thus, probability in an applied sense is a measure of the likeliness that a event will occur.**
 * Statistics pertains to the collection, analysis, interpretation, and presentation of data. It is applicable to a wide variety of academic disciplines, from the physical and social sciences to the humanities; it is also used and misused for making informed decisions in all areas of business and government.**
 * Statistics pertains to the collection, analysis, interpretation, and presentation of data. It is applicable to a wide variety of academic disciplines, from the physical and social sciences to the humanities; it is also used and misused for making informed decisions in all areas of business and government.**

..........................................Declarative knowledge ............................................................................................ Procedural knowledge.............................................. An event that has more than one outcome. || reflect on learning, apply new understandings and justify future applications. || Mean, or average, is the sum of a set of values divided by the number of values. || An introduction to multiplication as repeated addition || A problem that requires more than one computation and may also require combinations of operations to solve. Number, numeral, digit Number is a quantity. Numeral is the symbolic representation of a quantity. || Objects arranged in some order. Usually arrays in Mathematics involve rows and columns and are used to develop an area model for multiplication. ||
 * Data can be gathered from samples and surveys, experiments and simulations, published data and databases, and used to estimate probabilities of events and to respond to claims and questions || analyse situations to identify the key mathematical features and conditions, strategies and procedures that may be relevant in the generation of a solution ||
 * Sample spaces can be specified for single events and straightforward compound events using tables and tree diagrams, and probabilities can be determined using different methods, including counting, measuring and symmetry || plan and conduct activities and investigations, using valid strategies and procedures to solve problems ||
 * Data interpretation is simplified through the use of suitable representations and descriptive statistics || select and use mental and written computations, estimations, representations and technologies to generate solutions and to check for reasonableness of the solution ||
 * Simple measures of spread and centre, distribution of responses, and the effect of bias and outliers on the measures of location are used to make inferences || evaluate their own thinking and reasoning, considering their application of mathematical ideas, the efficiency of their procedures and opportunities to transfer results into new learning ||
 * Compound events
 * Mean, median, mode
 * Multi-step problems
 * Continuous data persist over time || Multiplicative thinking ||
 * || Experimental probability ||
 * || Strategies include commutative thinking (adding or multiplying in which the order of adding or multiplying does not matter), halving and doubling ||

**22,769,475 ** This projection is based on the estimated resident population at **31 March 2011** and assumes growth since then of: These assumptions are consistent with figures released in Australian Demographic Statistics, March Quarter 2011 (cat. no. 3101.0). Going by these figures I want you too ||
 * =**Population clock**= ||  ||
 * On 22 November 2011 at 10:58:58 AM (Canberra time), the resident population of Australia is projected to be:
 * one births every 1 minute and 46 seconds,
 * one death every 3 minutes and 40 seconds ,
 * a net gain of one international migration every 2 minutes and 44 seconds, leading to

correct answers. you used. You are going to need to start this assessment ||
 * **In this assessment, you will use Statistics and Probability reasoning to: **
 * ●● ** analyse and infer from data about population growth
 * ●● ** analyse and interpret Statistics and Probability
 * Show your working **
 * ●● ** Your teacher is looking for evidence of mathematical thinking and reasoning, not only
 * ●● ** When using a calculator, show enough working so that your teacher can see the method
 * ●● ** If you cannot complete a question, show what you have been able to do.
 * ●● ** Credit will be given if an incorrect answer is used correctly in a later question
 * 1) Large piece of butcher paper and coloured pencils set between groups of four
 * 2) Graph paper for each student
 * 3) Access to your library
 * 4) Access to the internet to do research on your laptops

[]
 * I want you to research the population clock above ( USE LINK ABOVE ). Is it a reliable source? Write you answers on butcher paper
 * If this is not reliable information where can I find reliable information about population in Australia?
 * How do you know it’s a reliable source of information? Write you answers on butcher paper


 * Can you now make up appropriate graphs to show the STATISTICS of


 * 1. Population growth over the next 20 years
 * 2. Deaths over the next 20 years
 * 3. International migration growth over the next 20 years
 * Show your thinking and working out in you maths books
 * What is the predicted population in 2050 going by these calculations? show your thinking and working out

Answers
==Yes this is a trusted site - The Statistics section of the Australian Bureau of Statistics (ABS) website gives you access to the full range of ABS statistical and reference information. It is updated weekdays at 11:30am, Canberra time.Everything on the ABS website is accessible [|**free of charge**]. You can now [|**Interact with our Data**], and also [|**get help**] on finding, using and [|**understanding statistics**] ==

==�1. Population growth over the next 20 years + 1.31 ONE PERSON = 91 seconds: 1 hour = 3600 seconds 91 into 3600=39.560439 people an hour ,1 day = 86 400 seconds =949.45054 people a day x 365 = 1 year = 31 556 926 seconds x 20= twenty years = 631 138 519 seconds divided by 91 =693 558.8 increase of people in twenty years ==

==�2. Deaths over the next 20 years 1 DEATH EVERY 3.40 minuets = 220 second:3600 seconds in an hour =16.363636 die, ,1 day = 86 400 seconds=392.727272 die x 365 = 1 year = 31 556 926 seconds x 20= twenty years = 631 138 519 seconds divided by 220 =286881.14 will die in 20years==

==�3. International migration growth over the next 20 years thats 1 new immigrant every 2. 44 =164 seconds= one new immigrant : 1 hour =164 into 3600 =21.951219 people an hour ,1 day = 86 400 seconds =526.82926 people a day x 365 = 1 year = 31 556 926 seconds x 20= twenty years = 631 138 519 seconds divided by 164 =384840.55 increase of immigrants in the next twenty yearsopen to see graph ==

Next can you research the Population by Age and Sex, Australian States and Territories
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 * POPULATION STRUCTURE, **<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 16px;">Age and sex **-** Australia **-** 1990-2010
 * **<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">Population at end Dec qtr 2007 ** ||  **<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">Change over previous year **  ||  **<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">Change over previous year **  ||   ||   ||
 * **<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">PRELIMINARY DATA ** || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">'000 || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">'000  || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">%  ||   ||
 * <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">New South Wales || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">6 927.0 || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">72.9  || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">1.1  ||   ||
 * <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">Victoria || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">5 246.1 || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">82.4  || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">1.6  ||   ||
 * <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">Queensland || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">4 228.3 || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">96.9  || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">2.3  ||   ||
 * <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">South Australia || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">1 591.9 || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">16.5  || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">1.0  ||   ||
 * <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">Western Australia || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">2 130.8 || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">49.5  || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">2.4  ||   ||
 * <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">Tasmania || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">495.8 || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">4.1  || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">0.8  ||   ||
 * <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">Northern Territory || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">217.6 || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">5.0  || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">2.4  ||   ||
 * <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">Australian Capital Territory || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">340.8 || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">4.5  || <span style="color: black; display: block; font-family: 'times new roman','serif'; font-size: 13px; text-align: right;">1.3  ||   ||
 * **<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">Australia **<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">(a) || **<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">21 180.6 **  ||  **<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">331.9 **  ||  **<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">1.6 **  ||   ||


 * <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 16px;">POPULATION STRUCTURE, **<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 16px;">AGE AND SEX **-** AUSTRALIA **-** 1990-2010 ||  ||
 * <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 13px;">(a) Includes Other Territories comprising Jervis Bay Territory, Christmas Island and the Cocos (Keeling) Islands. ||

With this information can you

Q1.Do a scater chart to show the population growth over 10 years ( going by above calculations ) in each state or territory Use the information from the data above

Q2. Looking at the above graphs can you give me the mean of age and sex in each state and teritory. what reasons could be making the differences ? Answer A distinctive feature in the age distribution of Australia at June 2010 was the high representation of people aged 20 to 44 years in capital city SD At June 2010, the median age of the Australian population (the age at which half the population is older, and half is younger) was 36.9 years, up from 36.5 years in 2005. The median age of males increased from 35.7 to 36.0 years and the median age of females increased from 37.3 to 37.8 years over this period. People in this age group represented 38.2% of the combined capital city SD population compared to 31.7% of the population in the remainder of Australia. This shows the attraction of young to middle-aged adults to education, employment and other opportunities in capital cities. In contrast, older adults aged 45 years and over made up a smaller proportion of the population in capital city SDs (36.6%) than in the remainder of Australia (41.9%).students must do research to find this information and then use % to work out statistics

Q3.From this population and gender statistical graph what can you predict for each state or terrortory ?


 * MALES PER 100 FEMALES,** Statistical Divisions, Australia **-** 30 June 2010

Answers

June 2010, there were 94,600 more females than males residing in Australia, with 11.12 million males and 11.21 million females. The sex ratio (the number of males per hundred females) was 99.2, up from 98.6 in 2005. The sex ratio of the states and territories at June 2010 varied from 97.3 in Tasmania, up to 107.7 in the Northern Territory. Only in the Northern Territory and Western Australia did males outnumber females, while in Queensland the ratio was almost even (99.9%).

Q4.Older people: In the 12 months to 30 June 2010, the number of people aged 65 years and over in Australia increased by 94,800 people, representing a 3.3% increase. The proportion of the population aged 65 years and over increased from 11.1% to 13.5% between 30 June 1990 and 30 June 2010.Do these statistics give us a realistic view of our ageing population?what will be the mean age of men and women living in 2020 ? Answer The population pyramid also highlights differences between the sexes. For June 2010, the most notable feature was the higher proportions of females than males in the population aged 75 years and over. This feature was evident in capital city SDs and in the remainder of Australia. The difference was most marked among the population aged 85 years and over and is attributable to the longer life expectancies of female Australians. It can be predicted that women will live longer than men in the foreseeable future.

Q5.Look at the maps of Australia below, what statistics do you think the maps are telling us? What could the Heading be? Look at the Key with it, how can this help us understand this map??

Answers 1ST Map=WORKING AGE POPULATION (AGED 15-64 YEARS), Statistical Divisions, Australia - 30 June 2010 2nd Map= POPULATION AGED 65 YEARS AND OVER, Statistical Divisions, Australia - 30 June 2010 3rd Map= POPULATION AGED LESS THAN 15 YEARS, Statistical Divisions, Australia - 30 June 2010

Watch these uTube links. Who is right and who is wrong that is the question? What mathematical statistics do you think we should be looking at concerning population growth in the future?

[] =Have we got our facts wrong [] =immigration its a good thing, arent we all Australian ?