# Autograph Newsletter 6 – Statistical Diagrams

 Welcome Welcome to the sixth Autograph Newsletter! Each jam-packed edition will look at a specific topic in mathematics and how Autograph can help engage students and enable them to understand the key concepts better. Hope you enjoy it! Craig Barton Advanced Skills Teacher, creator of www.mrbartonmaths.com and TES Secondary Maths Adviser. Follow me on Twitter: @TESMaths
 Introduction There are two things that students need to be able to do with statistical diagrams; to construct them and to interpret them. Once the basic skills of construction have been learnt, there is little point wasting valuable class time asking students to create more diagrams which they can then interpret. This is where Autograph comes in! Using its statistical functions, we can easily import interesting data sets from anywhere and instantly create a whole host of diagrams. This allows us to focus teaching time on helping students develop those higher level interpreting skills. In this newsletter we take a look at how to import data and create basic statistical diagrams, including cumulative frequency, box and whisker, histograms and scatter diagrams.
 Diagnostic Question Diagnostic questions are ideal to use at the start of the lesson to enable you to get a quick and accurate picture of your students’ levels of understanding. They are designed in such a way that common misconceptions that your students may hold should steer them to one of the incorrect answers, thus allowing you to learn where the problems lie from their responses. Typically I give my class 30 seconds thinking time and then ask them to hold up their fingers: 1 for A, 2 for B, etc.
 Free Online Autograph Activity Wages of Footballers This strange looking cumulative frequency diagram and box and whisker plot show the weekly wages of a group of 50 football players. Can you change the data to fit the seven tricky challenges? These Autograph activities do not require the full version of Autograph to run them. You just need to install the free Autograph Player (you will be guided through how to do this), which means you can use these activities in the classroom or set them for your students to do at home.
Ideas for Extension
The following ideas for extending this topic require the full version of Autograph.
Baby Weight Data.xls
We will be using the above data set for the next three activities. It gives data about babies and their mothers, and also includes information about if the mother smoked or not. I have split the data into separate worksheets for Smokers and Non-Smokers (click on the tabs at the bottom), or you can use the filters on the first worksheet.
To import data from Excel into Autograph, follow these steps:
 • Select and copy the column you want (it does not matter if it has a header). • Open a new Statistics page. • Click on Raw Data and paste the data into the appropriate cells. • Or click on Grouped Data, click on Use Raw Data, Edit and then paste the data as above. • Top Tip: If your data has commas in it, these will need to be removed before you import it. Just select the cells, right-click and choose Format Cells, Number and remove the tick by Use 1000 separator.
Idea 1 – Cumulative Frequency Diagrams
The Autograph page shows a cumulative frequency diagram of the birth weights of babies from non-smoking mothers.
 • Use the C.F.D Measure tool to get an estimate for the median and quartiles. • How will the cumulative frequency diagram for the Smokers differ? Select the birth weight column for the Smokers and paste it in as Grouped Data as described above or in the video below. • Select the new data set from the key at the bottom of the page, create a cumulative frequency diagram and calculate the median and quartiles. • How do they differ? • Can you explain this? • What would the two box plots look like? • Use the Scribble Tool to mark on your students’ predictions. • Select the Data set and then click on Box Plot to find out! • Investigate Cumulative Frequency Diagrams and Box Plots for some of the other columns of data.
Idea 2 – Frequency Diagrams/Histograms