GRAPHICS WITH RA STATISTICAL TOOL FOR HIGH SCHOOL MATHS

By: Jade Wright, Garth Lo Bello, Andrew Roberts, Prue Tinsey and Tania Young

• Using R, students have access to open source, professional quality, software

•Unlike Excel, this program requires knowledge of computing language

• Simple code can be provided by a teacher for the students to use with their own data.

• Not having “built in functions,” students have the chance to see more of what is involved in statistical procedures.

• R can perform all the tasks Excel can, but provided many more enhanced abilities, is free and is also used by professional statisticians.

Why Should We Use R?

Syllabus Outcomes

THE TASK• Syllabus Outcome (MA3-18SP)

• Students will be asked to collect data from the classroom

• Examples could include hours spent studying vs. Other activities, their height, the time it takes them to complete homework, etc.

• Then the students will run R using code given by their teacher andproduce relevant graphical displays for interpreting their findings.

• In doing so, students will have a choice of an appropriate display

Example 1:

Hours spent on various activities

Suppose a student spends:

5 hours at school3 hours with friends1 hour doing homework2 hours working at a job1 hour travelling8 hours sleeping4 hours watching TV

x <- c(5, 3, 1, 2, 1,8,4)

pie(x, main="Hours of Student Life", col=rainbow(length(x)), labels=c("School","Friends","Homework", "Job", "Travel", "Sleep", "TV"))

pie(x, main="Hours of Student Life", col=rainbow(length(x)),labels <- round(x/sum(x) * 100, 1))x_labels <- paste(labels, "%", sep="")

pie(x, main="Daily Hours as Percent of Day", col=rainbow(length(x)), labels=x_labels,)

legend("bottomleft", c("School","Friends","Homework","Job","Travel","Sleep", "TV"), cex=0.9,bty="n",fill=rainbow(length(x)))

The student is asked to produce a pie chart with legend to represent their daily lifestyle.

Now let’s look at the normal distribution

Suppose students compile data regarding the amount of time perDay they spend on homework in minutes.

Ex: 20, 25,....120

And the teacher asks the student to use R to represent this data inA histogram that shows the mean.

R can do this rather simply

A normal curve fittedTo a sample of 100

With R, simply change onenumber and students can see how sample size affects the shape

What if you have student’s measure their own heightsand want them to analyse that?

You could have them first collect the heights of allThe students in the class.....

Then compare the results when the separate the heights of boysFrom girls

This could spark a discussion about how certain displaysCan be more illustrative than others

And why, in statistics, knowing your target population has greatimportance.

RESULTSALL STUDENTS: Min. 1st Qu. Median Mean 3rd Qu. Max. 153.0 155.0 161.5 161.0 166.0 170.0

BOYS

Min. 1st Qu. Median Mean 3rd Qu. Max. 163.0 165.8 166.0 166.4 167.2 170.0

GIRLS

Min. 1st Qu. Median Mean 3rd Qu. Max. 153.0 154.0 155.0 155.5 156.2 160.0

Data RepresentationDS4.1 (p 114)Constructs, reads andinterprets graphs, tables,charts and statisticalinformation

Now, for an activity, once students learn the basic of R would be to Perform the exercise involving calculating the heights of students in their Class.

They would be given the code, collect the data and have to discuss the shape of a relevant bar graph (not box plot).

The students should be able to relate frequency, find the mode, and meanFrom the data after producing the graph.

CONFUSED OR WORRIED ABOUT USING A PROGRAM THAT REQUIRES CODE?

There are thousands

of free examples

online

SUMMARYR is a free program that not only does everything excel doesbut also provides the ability for the student to see the steps involved by avoiding built in functions.

This enhances learning and allows for creativity while at the same time providing students the chance to learn a piece of Software statisticians ACTUALLY use

Writing code can be daunting at first, but a simple Google searchprovides numerous scripts that can be amended to fit any task

The R website also provides free help and downloads at:

http://www.r-project.org/

QUESTIONS??????