Collecting Data Unit Assignment.docx - Collecting Data Unit Assignment Ryleigh McPherson Brandy Dobbin MDM4U Mathematics of Data Management 1 Submit

Collecting Data Unit Assignment.docx - Collecting Data Unit...

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Collecting Data Unit Assignment Ryleigh McPherson Brandy Dobbin MDM4U Mathematics of Data Management January 24, 2019
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1. Submit your spreadsheet containing your samples of M&Ms. - Included in a separate document 2. A research company wishes to perform an opinion poll ahead of a local election. They look at the breakdown of the town's population: Age Male Female 0-9 193 207 10-19 197 206 20-29 285 243 30-39 228 269 40-49 284 245 50-59 243 301 60-69 165 161 70-79 105 112 80 or above 65 74 a. They wish to take a sample of 250 people. Write a proposal for the company explaining the following sample techniques, giving a detailed description of how each might be used in this situation: i. Stratified A stratified sample can be used in this situation to get a proportionate amount of people from each age group adding up to 250. The advantage to using this technique is that every subgroup has a fair chance at expressing their opinions at the poll. A disadvantage would be that dividing the population into subgroups is more expensive and time consuming than the other sampling techniques. The proposal, in this case since the categories are not only broken down by age but also gender, I would have to use proportions to determine every single component. For example, males aged 0-9 years are 193 out of the total of 3592, which I would divide by 250. This produces a value of 14.3 people from this category which I would most likely round up since the sample most likely can exceed 250 but should not be less. ii. Systematic Systematic sampling can be used as a simple way to still get an even amount of coverage. This technique will not cover the population as well as stratified, however it is easier and less expensive to use. Systematic sampling does not weigh in the influence of larger categories and it evens out all of them as being relatively equal. A disadvantage to using this technique is that not every member in population of the town has an even chance at being selected. In this case again, I would divide 3592 by 250 which is every 14.368 person. iii. Voluntary Response Voluntary response sampling can be used in this situation to get a response from only the people that are completely willing. The advantage to using this technique is that many people can be invited to the poll at once, using
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an email or a letter in the mail. This requires less time and effort than the other two techniques. However, the disadvantage to this technique is that people with stronger opinions about the subject are more likely to come out and participate in the poll. In this specific case, that may turn out to be a good thing, since a large portion of the town’s population is younger, they will have less of a political standpoint if not any, which saves time and money by not having to include age groups such as 0-9 and 10-19. I would enable this form of sampling by advertising my survey on the radio and in local community groups or the newspaper.
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