Statistics- Statistical Investigations Workshop 1

Statistics:
The Data Detective
Process
Workshop

First Things First
Write the short date in your mathematics book
Write the title – Statistics Workshop 1 in your mathematics book
Underline both of these in red pen

What are we learning?
We are learning to:
Use a statistical investigation process with guidance
Identify parts of the statistical investigation process and what we need to do to complete them
Create our own statistical investigations

What are we going to do?
In this workshop we will:
Work through the data detective process using a simple example
Evaluate parts of the process using examples
Try out the process ourselves

Are You A Data Detective?
Have a look at the poster below, with a buddy talk about the different parts… what do they mean? How would you complete them?

The Problem
This is the first step of the data detective process. We define our problem or our question. We think about how we are going to answer the question
Here’s our problem: (this is a make believe problem)
We want to start selling sandwiches for lunch at Hillpark we don’t know how many students will buy and what they will pay for them. We also want to know what days to sell them on.
What could we do to help us to answer or solve this problem? Write some ideas down in your mathematics book and share them with your group.

The Problem
You might have come up with these answers or some different ones…
Come up with questions you could ask students about sandwiches
Ask lots of students about buying sandwiches
Create a survey for students
Create a survey for parents
Ask students and parents at the school gate.

The Plan
The plan involves working out what you are going to do to solve the problem. Deciding what you will measure and how you will measure it. You also need to decide how you will collect and record your data.
Here are some steps we could take to plan to solve our sandwich problem:
Decide on three questions to ask students
Set up a survey form to use when asking students questions
Get the students to answer the questions
Aim for at least ¼ of students
What three questions should we ask to solve our problem? How will we know we have the answer to our problem. Talk about this with your buddy.

The Plan
Here are some questions that you might have come up with to help us to solve the problem . . .
Would you buy a sandwich for lunch? Yes/No
What day would you be most likely to buy a sandwich on? Monday/Tuesday/Wednesday/Thursday/Friday
How much would you be willing to pay for a sandwich?
$1-2
$3-4
$5+
We will know that we have solved the problem when we can say yes lets sell sandwiches because… or no lets not sell sandwiches because… and be able to give a reason for our answer.

The Data
This step involves the collection of the data, thinking about how far we have come and how much more we need to do. It also means we have to make sure the data is true and correct.
When we are collecting our data we need to store it somehow. This time we are going to use our survey sheet from the previous slide.
Use the survey sheet to collect data on three classmates that are not in your mathematics group. Remember to make sure the are answering truthfully. Make sure each classmate is only asked once.

The Data
Once you’ve collected all of your data you need to store it in the same place. Put all of the data your group has collected together.
Once you have all of your data ready move to the next slide.

The Analysis
This step involves sorting and presenting your data in a useable format. This is where we decide how to present the information so that we can solve our problem.
We are going to use three different bar graphs to present the data we have collected. There are a number of things that a bar graph must have so that other people can read what it says.
What do we need to have in our bar graphs? Think about this with a buddy and write your answers into your mathematics book.

The Analysis
We need to make sure we have the right graph for presenting our data and that we are able to use the graph successfully.
For a bar graph you need to have the following:
A graph title
Labels for each axis
An appropriate scale on the Y axis (the right numbers)
Labels for each bar
Gaps between the bars
A ruler is used to draw the lines on the graph
Draw the bar graphs for each question you have asked your classmates. Take a peak at the next slide if you’re unsure where to start

The Analysis
Here are examples of what you might have created for each graph.

The Conclusion
During this step we look carefully at the graphs we have created. We decide what the information has shown us and what our answer to our question is. We also think about what other problems or questions we might have for another investigation.
The graphs on the previous slides tell us that more students are willing to buy sandwiches on Fridays than any other day. It also tells us that they are willing to pay between $1 and $2 for them.
So yes selling sandwiches would be a good idea because students will buy them if they are sold on a Friday.
What questions would we ask next? Do we need to gather more information to decide to sell our sandwiches? Talk about this with your buddy.

The Conclusion
We would need to start our data detective process again to find more information before we start selling our sandwiches.
You might have come up with these extra questions we need to ask:
Who will make the sandwiches?
Where will they be sold?
What will they have in them?
Will we use different kinds of breads and fillings?

Now that you’ve been guided through a data detective process it’s your turn.
Work with a buddy to go through the process.
Remember to record your findings in your mathematics book.
Check out the examples on the next slide if you need some problem ideas.

Problem Ideas
Holiday activities
Time on the internet, television, sleeping or…?
Basic facts practice times
Favourite websites
What you’d like to do before the end of the year
Movies you’ve seen
How people get to school
Remember to go to the next slide once you’ve finished your investigation.

Evaluation
We need to look at what you’ve learnt and what you managed to complete.
Answer the questions on the following slides with a buddy.

How is your learning going?
Are you able to do these things?
Use a statistical investigation process with guidance
Identify parts of the statistical investigation process and what we need to do to complete them
Create our own statistical investigations

How did you go?
Did you get all this completed?
Work through the data detective process using a simple example
Evaluate parts of the process using examples
Try out the process ourselves

Congratulations
You’re on your way to becoming a data detective!
A little more practice and you’ll be able to conduct your own investigations with ease

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Statistics- Statistical Investigations Workshop 1

by Angela Lee on Jul 07, 2009

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Statistics- Statistical Investigations Workshop 1 — Presentation Transcript