Year+8+-+Week+2+onwards+-+Unit+5A

To Tag or Not Tag: That is the question

What proportion of all New Zealand students do each of the different activities at lunchtimes?

We have discussed statistical sampling strategies and why statistical sampling is required.

Investigate the results for this problem when different sample sizes and sample populations are chosen using the NZ CensusAtSchool website to source data. (http://www.censusatschool.org.nz/classroom-activities/to-tag-or-not-to-tag/ then select 'sample', which is under the title Resources)

Remember to complete a full statistical enquiry cycle by including planning, predictions, data analysis and conclusion in your submitted piece of work.

As a starting point you need to select at least 7 different sample sizes ranging from a sample size of 10 up to a sample size of 1000. Write down the results in table form for each sample size, draw an appropriate graphical representation and add what you notice about the distribution of each sample (analysis). Use the same graphical method for each sample so that you can compare results, remember that using percentage on the frequency axis will make comparisons between different samples easier.

Write a conclusion based on these different data samples, ensure that you answer the original question and include information on the various sample sizes utilised. Try to include statistical language, such as random sample, representative sample, population, distribution of the sample, population distribution, sample size, variation, shape of the graph to draw conclusions from your analysis of the different sample sizes.

EXTENSION

Compare lunchtime activities for different aged students. Compare lunchtime activities for different genders.

Describe what you think the population distribution will be for the two genders for each year level available on the NZCencusAtSchool website, select samples, analysis the results and conclude.