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Mastering Graphs: Visual Representation of Data

This guide explores various types of graphs, including Circle Graphs, Bar Graphs, Line Graphs, and interpreting slopes. Learn how to represent data visually, analyze different slopes, and interpret graphs effectively for better data understanding.

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Mastering Graphs: Visual Representation of Data

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  1. Section 2.4 Representing Data

  2. Graphing • Visual display of data • Picture demonstrating patterns

  3. Circle Graph • Pie chart • Good for parts of a fixed whole • Percentages

  4. Bar Graph • Shows quantity variations with factors • Independent variable  horizontal axis (x) • Dependent variable  vertical axis (y)

  5. Line Graph • Most graphs in chemistry • Points on line represent intersection of data for two variables • Independent variable  x- axis • Dependent variable  y- axis

  6. Best Fit Line • Best fit line  line drawn so that the same amount of points fall above and below it • Look at the slope of this

  7. Slope • Steepness of a line • Rise over run • Change in y over the change in x y2 - y1=Δy x2 – x1Δx

  8. Interpreting Slopes • Slope rises to the right= positive slope • Dependent variable increases as the independent variable increases

  9. Slope sinks to the right= negative slope • Dependent variable decreases as the independent variable increases

  10. Various Slopes

  11. Interpreting Graphs • Identify independent and dependent variables • Look at measurement units and ranges • Determine linear or nonlinear relationship • Interpret the slope

  12. Continuous Data • Points on line graph are connected • Interpolation: Reading areas between points • Extrapolation: Extend line beyond points

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