Assignment Paper

Students will compare and contrast data sets of their own choosing.

FRONT SHEET:

This will have your name at the top. In the middle will be the title “Statistics Investigation” and at the bottom will appear “Mr Tucker”
This needs to be typed in WORD, printed in large letters, spaced neatly to fill most of the page and submitted on a single page.

PART A
CHOICE OF DATA:

The choice of data is up to the individual, but each data set must have at least 15 data items.

EITHER:

Go to the BOM website www.bom.gov.au and compare either temperatures or rainfall in two different places in Australia for one particular month of the year.

Or

Compare say hand size, shoe size or height for male or female Year 11 students

Or

Mike and Molly are planning a holiday in 2020 and have been discussing the weather in various parts of Australia at different times of the year. They won’t be going overseas now because of the Corona virus. They are disagreeing on the location of the holiday. Molly wants to holiday where the temperature is warm and allows for a relaxing holiday.

Mike and Molly will investigate two options for the holiday with the hope of convincing the other of where they should visit.

It is necessary to state the month of travel and the destination in both scenarios and make a conjecture (a prediction) about which is the better destination and why. This must be stated before any calculations have been completed.

Collecting appropriate data

Explore the data available from www.timeanddate.com to find the daily sunshine for the two destinations that Molly has chosen.

Or

It could be something a bit more interesting like testing and comparing reaction times between two people or between your left and right hand. (A site at www.humanbenchmark.com/tests/reactiontime was found that does this in lots of 5 but there may be better sites as well.)

Or

It could be anything else that you have an interest or passion about.

Students will need to choose a question to examine where the two data sets are relatively easy to collect, and the data is numeric, not categorical!

Once the data is collected, check with the teacher to make sure that it is suitable before proceeding.

The following will be generated in WORD on computer.

AIM: “The aim of this investigation was to compare and contrast ……………..”

HYPOTHESIS: “The prediction made was that………”

METHOD: Write a paragraph about what was done in the investigation after you have done all the maths and discussion (past tense & third person).

MATHEMATICAL ANALYSIS AND DISCUSSION:

Students are to follow the format below to collect, display and analyse the two data sets.

ORGANISATION OF THE TWO DATA SETS

For each data set, on GRAPH PAPER, provide:

• each ordered data set

Where there any problems with either collecting the data or with some of the data itself? If so, it now needs to be stated.

If there are any obvious outliers, it needs to be stated and reason(s) for either keeping the data or discarding it from the data sample(s) must be given.

• 5 figure summaries for each data set

• calculation of the boundary limits for a lower and an upper boundary.

• Discussion on whether any outliers will or will not exist once the boxplot has been drawn.

• The parallel boxplot for the 2 data sets.

ANALYSIS OF DATA:

This will be generated in WORD on computer.

• Compare the medians of each set of data and comment.

• Compare the maximums and minimums for each and comment

• Calculate and compare the range of each set of data and comment (ie the position and extent of each Box and Whisker plot).

• Calculate and compare the Interquartile Ranges for each set of data, the boxes in the graphs, and comment.

• Compare the bottom 25% and the top 25% of the data, that is, the whiskers and comment.

• Comment on whether your outlier prediction was correct.

• Comment on the shape of the distribution (symmetric, positively or negatively skewed, none of these)

• Draw a back-to-back stem and leaf plot and either a histogram in EXCEL for this data if it is numeric continuous data or a column graph if it is numeric discrete data.

• Do the 2 further graphs drawn support the description of the shape of the distribution?

Any graph pages are to be scanned so that they can be included, in the correct order, in the word document. This can be achieved either by scanning to digital on a printer or by taking a picture and either downloading it or emailing it to yourself.

CONCLUSION:
This will be generated in WORD on computer.
From the Analysis of Data above, write a sentence or sentences describing what happened and whether the original hypothesis was correct.

PART B GLOBAL WARMING – Fact or Fiction?

Compare the temperature for a month from a year before 1950 and from the same month in either 2020 or 2019.

Go to the BOM website www.bom.gov.au. Scroll down to the bottom and select “Climate Data Online”. The page that comes up will help you to select historical temperature data in Adelaide.

The same report structure as PART A will be used for PART B.

However, this time a graphics calculator or graphics calculator emulator will be used to obtain the parallel box plots.

All graphs (except the back to back stem and leaf plot at this stage) will be digitally produce