Types of data and stem and leaf plots Stats

Stem and leaf plots

1. Get ready! For this lesson, you’ll need

2. Cyclic Revision What is the range of the following data set? 13, 14, 19, 21, 15, 14

3. Representing Data – Day 1 Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display

4. Why are we learning about this? It is important to learn about representing data because: It makes it clearer to visualise key patterns and trends in data sets Provides a quick and effective way to visualise information Helps businesses clearly identify any areas that need more attention Some jobs and careers that use representing data all the time are: Data analyst Engineers Business managers Project managers Data scientists Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display

5. Key Vocabulary These are some of the key vocabulary words we will be using during this subtopic: Dataset Categorical Numerical Nominal Ordinal Discrete Continuous Your job is to have them all defined, in your notes, by the time we complete the sub topic! Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display Bar graph Stem and Leaf Dot Plot Frequency Table

6. Accessing prior knowledge Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display

7. What are the types of data? Data Categorical Data (Qualitative) Nominal Ordinal Numerical Data (Quantitative) Discrete Continuous Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display

8. What is categorical data? Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display Data that can be categorised into groups based on their characteristics or quality There are 2 types of categorical data: Nominal Data cannot be ordered Examples: Colours Days of the week Breeds of dogs Ordinal Examples: Survey rating Restaurant rating Education level Data can be ordered

9. What is numerical data? Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display Data that can be collected either by counting or measuring a quantity There are 2 types of numerical data: Discrete Data collected by counting Examples: Number of students in a class Scores on a test Number of fruits in each bag Continuous Examples: Heights of students Room temperatures Masses of fruits Data collected by measuring

10. Choosing a graphical display Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display A graphical display should be chosen based on the type of data you are given and how big of a dataset it is For categorical data, you should use: Frequency tables Bar graphs Types of pets Number of students Dot plots Key: = 1 student Day of the week

11. Choosing a graphical display Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display For numerical data, you should use: Dot plots Key: = 6 students Number of students in Grades 1 to 7 Frequency tables Stem and Leaf plot Histogram

12. Constructing frequency tables Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display You are given a dataset of the different sports 28 students like playing. Footy Cricket Footy Cricket Soccer Footy Tennis Tennis Cricket Tennis Footy Tennis Tennis Cricket Tennis Footy Tennis Footy Footy Squash Squash Soccer Footy Footy Footy Squash Footy Soccer Using the dataset above, construct a frequency table to display the data

13. Constructing frequency tables Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display Sport Tally Frequency Footy |||| |||| | 11 Cricket |||| 4 Soccer ||| 3 Tennis |||| || 7 Squash ||| 3 Give headings Make sure the frequencies add up to 28

14. Constructing bar charts Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display Using the frequency table from before, let us create a bar chart to display the different sports students like playing. Give heading Give axes titles Bars spaced equally (not touching) Bars are same size and straight y-axis is labelled spaced equally Label each bar on x-axis

15. Check for understanding Look at these 3 bar charts. Can you identify what is wrong with each one of them? Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display Missing heading Bars are not equally spaced Bars not same size

16. Check for understanding Look at these 3 bar charts. Can you identify what is wrong with each one of them? Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display y-axis scale is wrong missing x-axis title missing y-axis title missing x-axis labels

17. Check for understanding Look at these 3 bar charts. Can you identify what is wrong with each one of them? Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display Bars are touching

18. Apply understanding Complete the Learning Centre that is ‘just right’ for you. Your teacher may assign you to a particular centre based on your pre-test. If you think that the centre that you have been assigned isn’t just right for you, let your teacher know. Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display

19. Representing Data – Day 2 Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display

20. Cyclic Revision A class of students were surveyed to find out which countries they would like to visit in Asia. Using the bar graph, determine how many students preferred to go Thailand over Indonesia?

21. Key Vocabulary Dataset Categorical Numerical Nominal Ordinal Discrete Continuous Bar graph Stem and Leaf Dot Plot Frequency Table Which of the words have you defined already? How well do you remember each definition? (Please a rating out of 5 next to each word you have defined) Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display

22. Accessing prior knowledge Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display Choose a graphical display to display the given scenario: The mass of 25 apples in a super market Stem-and-Leaf plot A survey on 100 students to find out their favourite pet The number of fruits a group of students ate each day of a week Frequency table Dot plot Bar graph

23. Constructing stem-and-leaf plots Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display You are given a dataset on the heights of students in a Year 8 class in centimetres (cm). 161 162 163 163 164 164 166 161 162 161 154 159 171 173 174 181 157 157 175 158 Using the dataset, construct a stem-and-leaf plot.

24. Constructing stem-and-leaf plots Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display Using the dataset, construct a stem-and-leaf plot. Heights of students in a class Stem Leaf 15 4 7 7 8 9 16 1 1 1 2 2 3 3 4 4 6 17 1 3 4 5 18 1 Key: 15|4 = 154 cm Give a key Make sure numbers are spaced Make sure numbers are ordered from small to big Give a title

25. A graphical display can help us make conclusions about a dataset and help us make predictions for the future. Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display Conclusions: The tallest student is 181 cm The shortest student is 154 cm Most students in the class have heights in between 160 cm and 170 cm Predictions: Another Year 8 student will probably have a height between 150 cm and 170 cm Key: 15|4 = 154 cm Conclusions and Predictions Looking back at our previous example:

26. Check for understanding Use the given dataset to draw conclusions about the athletes in the program and make a prediction. Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display

27. Apply understanding Complete the learning centres as directed by your teacher. Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display

28. Exit Pass Complete the exit pass given to you by your teacher Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display

29. Review learning intention Each student should state one key point to remember when constructing stem-and-leaf plots. Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display

30. Summary and Post Rating In your summary section of your notes: Key point 1 Key point 2 Key point 3 Post rating: Use the success criteria to give yourself a post rating for this topic. Learning intention To be able to represent data Success criteria I can identify the type of data I can choose an appropriate graphical display for a dataset I can create graphical displays given a dataset I can draw conclusions from a graphical display I can make predictions using a graphical display

31. Action icons Turn and talk as a pair Think on your own Talk as a table group Dot point your notes Write down what your group spoke about Write in full sentences Draw a picture to represent Be ready to be called on to share Listen to instructions Stop and look Watch me demonstrate Read on your own Do this part silently Exit pass Brainstorm Draw this table Use your calculator