Stats Data Teacher Booklet.notebook · 2019. 12. 9. · Stats Data Teacher Booklet.notebook 10...
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Stats Data Teacher Booklet.notebook 1 December 09, 2019 Jan 116:43 PM Part I
Transcript of Stats Data Teacher Booklet.notebook · 2019. 12. 9. · Stats Data Teacher Booklet.notebook 10...
Stats Data Teacher Booklet.notebook
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Jan 116:43 PM
Part I
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Qualitative vs QuantitativeData can be qualitative or quantitative.
Qualitative data - is descriptive information (it describes something).
Quantitative data - is numerical information (numbers).
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Quantitative data can be discrete or continuous:
Discrete data can only take certain values (like whole numbers).
Continuous data can take any value (within a range)
Put simply, discrete data is counted, continuous data is measured.
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Example: What do we know about Jovi the Dog???
Qualitative:• She is brown • She has short hair• She is the cutest dog in the
whole wide world
Quantitative:• Discrete
> She has four legs> She has 2 scars
• Continuous:> She weighs 78 pounds> She is 565 mm tall
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Collecting DataData can be collected in many ways. The simplest way is direct observation.
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Census or SampleA census is we collect data for every member of the group (the whole population).
A sample is when we collect data just for selected members of the group.
A census is accurate, but hard to do. A sample is not as accurate, but may be good enough, and is a lot easier to accomplish.
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Creating GraphsSelecting GraphsThe chart below lists five movies and the number of students who selected each as their favourite. The information in the chart is a snapshot and can be displayed on a circle graph (for a circle graph, percentages would need to be figured out.).
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Circle and bar graphs are used to compare items. For example:
The graph is a quick way to see that math and phys-ed are the favourite subject of this group of students.
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Broken Line GraphBroken line graphs show trends or changes in ONE item over time.
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Making Bar Graphs
Bar graphs can be made using the data from charts and tables. Step 1: With a ruler, draw an x-axis (horizontal line) and a y-axis
(vertical line) on a piece of paper.
Step 2: Label each axis with the type of information it contains.
Step 3: Decide what scale to use (how much each line represents), based on the range of data you want to show.
Step 4: Draw marks to show the intervals (spaces between each measurement) in a way that easy to read.
Step 5: Plot your information on the graph.
Step 6: Draw a bar for each category.
Step 7: Give the graph a title that explains what the data represents.
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Making Line Graphs
Line graphs can also be made using information from tables or equations.
Step 1-4: Same as starting a bar graph.
Step 5: Plot each point by finding the appropriate spot where the x-axis and y-axis intersect. For example, for the first point, find 3 on the x-axis, then move up or down until you hit 18 on the y-axis. Draw your first point there.
Step 6: Connect the dots with a line, using a ruler.
Step 7: Give the graph a title that explains what the data represents.
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Graphs can be manipulated to change the appearance of the results of the data.
The graph below shows how one student's allowance increased over time.
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Making a Circle Graph
Step 1: Draw a circle
Step 2: Calculate the size of each category using the following percentage formula.
Percentage of Total = 360
100%
This gives you the angle.
Step 3: Draw a straight line from the center to the edge of the circle.
Step 4: Use a protractor to measure and mark a section for each category.
Step 5: Label and/or colour each section.
Step 6: Give the graph a title that explains what the data represents.
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Example: Shannon surveyed 200 students to gather information about cafeteria food. Her results are displayed on the chart and the circle graph. The chart shows raw data, exact numbers that have not been converted into percentages.
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Convert the raw data to percents to represent the data more clearly.
Burgers Salad Tacos
Soup Stew
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Now we must convert our answers to represent degrees:
Burgers:
Tacos:
Stew:
Salad:
Soup:
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Key
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135°
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Assignment:
Practice Making Graphs
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1. Come up with a Christmas question that you can pose to your fellow classmates.
2. Create questions to gain information regarding this theme.
3. Then poll your classmates to collect the data.
4. Once the data has been collected, display the data in various charts (pick three different types).
5. Once the data has been displayed, discuss what is the most efficient chart? What chart allows your audience to interpret your results the easiest? What is the least efficient method?
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