**QUESTION**

**Misleading Graphs **

1. Look at the After School Activities graphs in the Excel file “STA322 week 1 data” on the tab “Misleading”. Discuss the benefits of using Graph A versus Graph B. (15 points)

2. Look at the Voting data in the Excel file “STA322 week 1 data” on the tab “Misleading”. Graph the data in a column (bar) chart __and__ a pie chart. Compare and discuss the two graphs. Are either charts misleading, if so, why? (20 points)

3. In your future career, you will be asked to collect data, analyze data and write reports. In the analysis of data, you may choose to display your results in a graph. This week as we discuss misleading graphs, we learned that we need to be aware of these types of graphs, not only for reporting results, but also as we read and interpret graphs (to be observant and look for key points on a graph). Find a graph that appears to be misleading and discuss. Explain ways you would change the graph to make it appear more accurate. (15 points)

**Sampling Techniques**

4. Look at the Excel file “STA322 week 1 data” of tab “Sampling.” The survey question asked was “Do you live near family?” Data is shown using 2 different types of sampling (Convenience –asking your family to complete the survey and Cluster-asking 5 students from 3 classes). Using the data provided, graph each set of data using the same style of chart in Microsoft Excel. Looking at the data provided and the chart results, would either of these sampling techniques provide useful information for you? Are these the best sampling techniques if you are deciding how many people live near family? Discuss. (20 points)

Determine the sampling technique of the following (convenience, cluster, stratified, simple random or systematic).

5. A class of seniors is divided into 4 groups to work community service projects throughout the year. 2 students are chosen from each group to present their yearly service at graduation. (6 points)

6. The website has a pop-up coupon for every 100^{th} customer that logs in on Saturdays. (6 points)

7. In a survey of 20 employees they were asked about their training they received. The sample consisted of those who chose to complete and submit the survey. (6 points)

Determine the type of data for the following (Qualitative, Quantitative-discrete or Quantitative Continuous).

8. The amount of fat in the breakfast bar is 2.4 grams. (6 points)

9. There were 126 students that signed up for Student Council. (6 points)

10. The leaders present at the conference were separated into Secretary, Treasurer and President. (6 points)

Determine if the following is a Parameter or a Statistic.

11. All students completed the survey, the results showed that 57% had children. (7 points)

12. In a class of 25 students, 8 were surveyed. The results were that 25% had children. (7 points)

**ANSWER**

**Misleading Graphs **

- The biggest problem that Graph B has in comparison to Graph A is that the starting point of Graph B being higher than that of Graph A pegged at 70000 any value that is below that is not shown in Graph B as a result we are no able to find the number of students in Vermont as per Graph B
- The difference between the two graph is that though the column graph shows the bars and the columns as separate entities that shows the standing of the various political parties the pie chart shows them as a component of the whole and this is the exact reason why the pie chart is misleading because it is not said that all the number given here are all the votes and there are no more component. If there is any component which are not taken as part of the calculations the pie chart fails miserably

- As discussed the graph that is pointed in B is misleading the reason for this being it is not taking the full breadth of the data that are being fed to it and thus giving out biased and incomplete data. For example in this case Vermont has been completely removed though it has data of its own. Thus we should make sure that the graphs that we create cover all the data that are to be verified and thus before drawing any graph I will make sure that all the data has been taken care of

**Sampling Techniques**

- Though the convenience sampling graph do provide a bit of an useful result as it goes across age groups and thus has a varied population to take the data from but on the other hand the best graph for this type of scenario would be systematic as it will systematically take the sample and create the reference as well as the trend out of it
- This is a cluster sampling

- This is a simple random sampling

- This is a systematic sampling

- This is quantitative continuous

- This data is quantitative discrete

- This is qualitative data

- Answer This is a parametric data as it describes the entire population

- Answer: This is a statistic data as it describes a sample

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