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All aboutAll about
GraphsGraphs
โ€ข About different types of graphs,
โ€ข How to draw them when you
are doing your practical work,
โ€ข How to interpret the different shapes.
Learning Objectives
You should learn :
Drawing a graph
When should I
draw a
line-graphโ€ฆ?
โ€ฆand when should
I draw a
bar-graphโ€ฆ?
โ€ฆand when
should I draw a
histogram or
circle graph?
Drawing a graph
Look at the table of your results:
If this column has
โ€ข Many continuous ranges of
values,
use a histogram:
โ€ข Continuous values,
use a line-graph:
โ€ข Fixed items that are
usually not numerical,
Use a bar graph:
โ€ข Percentage of any kind,
Use a circle graph
Drawing a graph
What is the best
way to draw a
line-graph?
5 steps in drawing a graph
1. Choose simple scales.
For example:
1 large square = 1 meter (1 m)
or
1 large square = 2 m, or 5 m, or 10 m
But never choose an awkward scale,
like 1 square = 3 m or 7 m
Choose a scale that will make your graph
use most of the space available.
5 steps in drawing a graph
1. Choose simple scales.
Put the dependent variable
on the โ€˜y-axisโ€™
and
the independent variable on the โ€˜x-axisโ€™
5 steps in drawing a graph
2a. Plot the points neatly.
To mark the points we usually use an X
x
x
x
x
x
x
Re-check each one before your next step.
Usually you need
5 or more points
for the graph.
5 steps in drawing a graph
2b. Alternative plotting.
โ€ขTo mark the points we can also use a dot in a circle .
Re-check each one before your next step.
โ€ขMake sure the dot
is very small and
the circle has a
diameter no
greater than 2mm
5 steps in drawing a graph
3. If the points form a straight lineโ€ฆ
โ€ฆdraw the best straight line through them
x
x
x
x
x
x
Check that it looks the best straight line.
โ€˜line of best fitโ€™
5 steps in drawing a graph
4. If the points form a curveโ€ฆ
โ€ฆdraw a free-hand curve of best fit
Do not join the points like a โ€˜dot-to-dotโ€™.
5 steps in drawing a graph
5. If a point is not on the lineโ€ฆ
โ€ฆuse your apparatus to check this
measurement again
You should ignore anomalous points.
This is called an
anomalous point.
x
x
x
x
x
x
5 steps in drawing a graph
In summary:
1. Choose good scales,
with the dependent variable on the y-axis
2. Plot the points carefully
3. Draw a line of best fit
using a ruler for a straight line graph,
4. or draw free-hand for a curved graph
5. Check anomalous points.
An example would be
the height of a plant
against time
A straight line graph:
Time/days
Height/cm
A special case is when the
straight line goes through the origin :
origin
In this case the
two quantities are
directly proportional.
If you think your graph should go through the
origin, then draw it exactly through the origin.
Donโ€™t forget to place both, the 0 for the x-axis
and the 0 for the y-axis.
0 1 2 3 4 5 6 Time/days
Height/cm
5
4
3
2
1
0
A curved graph, rising :
The dependent
variable rises
quickly at first
and then more slowly
Here is an example:
Example : the volume of O2 produced in the
catalase reaction against the time.
VolumeofO2/ml
Time/s
Eventually the reaction will stop producing O2 gas.
A curved graph, falling :
The dependent
variable falls
quickly at first
and then more slowly
Here is an example:
Example: The mass of starch left in the
amylase reaction.
Mass of starch/g
Time/s
Starch MaltoseAmylase
โ€ข Know how to draw a line-graph correctly,
โ€ข Be able to give examples of graphs
with different shapes,
โ€ข Be able to interpret graphs with
different shapes.
Learning Outcomes
You should now:

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All about drawing Graphs

  • 2. โ€ข About different types of graphs, โ€ข How to draw them when you are doing your practical work, โ€ข How to interpret the different shapes. Learning Objectives You should learn :
  • 3. Drawing a graph When should I draw a line-graphโ€ฆ? โ€ฆand when should I draw a bar-graphโ€ฆ? โ€ฆand when should I draw a histogram or circle graph?
  • 4. Drawing a graph Look at the table of your results: If this column has โ€ข Many continuous ranges of values, use a histogram: โ€ข Continuous values, use a line-graph:
  • 5. โ€ข Fixed items that are usually not numerical, Use a bar graph: โ€ข Percentage of any kind, Use a circle graph
  • 6. Drawing a graph What is the best way to draw a line-graph?
  • 7. 5 steps in drawing a graph 1. Choose simple scales. For example: 1 large square = 1 meter (1 m) or 1 large square = 2 m, or 5 m, or 10 m But never choose an awkward scale, like 1 square = 3 m or 7 m Choose a scale that will make your graph use most of the space available.
  • 8. 5 steps in drawing a graph 1. Choose simple scales. Put the dependent variable on the โ€˜y-axisโ€™ and the independent variable on the โ€˜x-axisโ€™
  • 9. 5 steps in drawing a graph 2a. Plot the points neatly. To mark the points we usually use an X x x x x x x Re-check each one before your next step. Usually you need 5 or more points for the graph.
  • 10. 5 steps in drawing a graph 2b. Alternative plotting. โ€ขTo mark the points we can also use a dot in a circle . Re-check each one before your next step. โ€ขMake sure the dot is very small and the circle has a diameter no greater than 2mm
  • 11. 5 steps in drawing a graph 3. If the points form a straight lineโ€ฆ โ€ฆdraw the best straight line through them x x x x x x Check that it looks the best straight line. โ€˜line of best fitโ€™
  • 12. 5 steps in drawing a graph 4. If the points form a curveโ€ฆ โ€ฆdraw a free-hand curve of best fit Do not join the points like a โ€˜dot-to-dotโ€™.
  • 13. 5 steps in drawing a graph 5. If a point is not on the lineโ€ฆ โ€ฆuse your apparatus to check this measurement again You should ignore anomalous points. This is called an anomalous point. x x x x x x
  • 14. 5 steps in drawing a graph In summary: 1. Choose good scales, with the dependent variable on the y-axis 2. Plot the points carefully 3. Draw a line of best fit using a ruler for a straight line graph, 4. or draw free-hand for a curved graph 5. Check anomalous points.
  • 15. An example would be the height of a plant against time A straight line graph: Time/days Height/cm
  • 16. A special case is when the straight line goes through the origin : origin In this case the two quantities are directly proportional.
  • 17. If you think your graph should go through the origin, then draw it exactly through the origin.
  • 18. Donโ€™t forget to place both, the 0 for the x-axis and the 0 for the y-axis. 0 1 2 3 4 5 6 Time/days Height/cm 5 4 3 2 1 0
  • 19. A curved graph, rising : The dependent variable rises quickly at first and then more slowly Here is an example:
  • 20. Example : the volume of O2 produced in the catalase reaction against the time. VolumeofO2/ml Time/s Eventually the reaction will stop producing O2 gas.
  • 21. A curved graph, falling : The dependent variable falls quickly at first and then more slowly Here is an example:
  • 22. Example: The mass of starch left in the amylase reaction. Mass of starch/g Time/s Starch MaltoseAmylase
  • 23. โ€ข Know how to draw a line-graph correctly, โ€ข Be able to give examples of graphs with different shapes, โ€ข Be able to interpret graphs with different shapes. Learning Outcomes You should now: