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Graphing Data

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3 Types of Graphs Bar Graph Line Graph Circle (or Pie) Graph

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Bar Graph Useful for graphing items with different categories

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Bar Graph I can change the order.

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Bar Graph Does this change the information?

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Bar Graph Whatever helps me get the point across

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Circle Graph Ideal for showing percentages (fractions) All the parts add up to a whole

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To find the percentage Divide the number in whichever category by the total number. – 10 students are too hot – 12 students are too cold – 2 students arent sure – 1 Teacher thinks it is just right The total is 25

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To find the percentage 10/25 = 40% are too hot 12/25 = 48% are too cold 2/25 = 8% arent sure 1/25 = 4% is just right When making the graph: – 1 circle is 360° = 100% – Each percent is 3.6°

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Line graph A line graph is useful when a dependent variable changes due to a relationship with an independent variable. The independent variable is x The dependent variable is y

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Line graph Well start with an experiment.

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Line graph As we turn the knob, we will take data. The knob location will be x, and the gauge reading will be y. – x=½ and y=0 – x=1 and y=1 – x=2 and y=3 – …and so on

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Lets look at our data Lets make a table with our data. It may be helpful to sort the data by the independent variable. XY ½0 11 23 0 -3 XY -3 0 ½0 11 23

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Lets look at our solutions Now lets plot the solutions on a graph. XY -3 0 ½0 11 23

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Tow the line! It is reasonable to use the line as the solution rather than just the points. – Interpolation – Extrapolation

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If it doesnt fit… Usually, real data doesnt fit on a perfect line. DO NOT play connect the dots. Make a regression line, or best fit line. WRONG

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If it doesnt fit… Usually, real data doesnt fit on a perfect line. DO NOT play connect the dots. Make a regression line, or best fit line. – Eyeball it – Use Excel

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It doesnt look square! We wont always have a straight line on a graph. This is a parabola. It is common in science graphs.

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It doesnt look like anything! Often, we can write an equation for a graph. Sometimes we cant. Thats okay.

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Assignment p. 26, 1-5 Worksheet Chapter 1 Test Friday 8/27 Bring Index Cards tomorrow

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