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Data Handling Coursework

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Scatter diagrams drawn for boys, girls and mixed samples. Comparisons made ... This suggests that the boys' heights were more spread out than the girls. ... – PowerPoint PPT presentation

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Title: Data Handling Coursework


1
Data Handling Coursework
  • MAYFIELD

2
  • The project
  • What gets an A/A
  • Data handling chapter from the text book
  • How to look at continuous data
  • Timetable
  • A warning about excel
  • Summary

3
The Project
  • What is expected
  • The handling data cycle
  • Task sheet
  • The data set
  • Available on the common drive, the schools
    website and Mathematics Departments website
    (www.jhgsmaths.org.uk)

4
What gets an A
  • Random sampling
  • Cumulative frequency diagrams
  • Box Plots
  • None of which are worth anything unless
    comparisons are made.

5
What gets an A
  • Stratified sampling
  • Histograms with unequal class widths
  • An area of mathematics that you have not been
    taught. For example standard deviation, mean
    deviation from the mean, mean of the vertical
    dispersions or correlation coefficient.
  • None of which are worth anything unless
    comparisons are made.

6
Chapter 11B Handling Data
  • Based on Jordan Hill County High School
  • Covers all grades
  • Analysis of height (page 234, 244)
  • Height vs weight (page 247 254)

7
(No Transcript)
8
Shoe size v Height Random Sample Scatter
diagram Line of best fit, which goes through the
mean.
9
Height v Shoe size Scatter diagrams drawn for
boys, girls and mixed samples Comparisons
made Equation of the line of best fit calculated
for each diagram. Extrapolation/ interpolation
10
Comparing Height Box plots/ cumulative frequency
and histograms draw. Averages calculated Compariso
ns e.g. The box and whisker plots show that the
girls interquartile range is 2 cm less than the
boys. This suggests that the boys heights were
more spread out than the girls.
11
Summary of the pre-test
12
Extending your work e.g. When age is taken into
consideration the correlation between shoe size
and height will improve
13
Stratified sample Note the small amount of year
11 pupils
14
10 Samples
15
Mean of the Vertical Dispersions The difference
between each point and the line divided by the
number of points
16
Comments Outlier Line is easier
17
The Final Summary This involves drawing 12 graphs
and making calculations. 2 years would be more
appropriate. Conclusions
18
Final Conclusions
19
Some advice
  • Avoid discrete data
  • Compare
  • Sample sizes should be around 25-30. If not
    comment on the unreliability.
  • Leave outliers in and comment on them.
  • The pre-test can be as long (if not longer) than
    the main investigation.
  • Dont worry if your hypothesis are not backed up
    by the data.

20
How to look at continuous data
  • Comparing continuous data
  • Exploring relationships

21
Timetable
  • Introduction to project
  • Get data before the start
  • Lesson 1
  • Write plan
  • Sample plan
  • Agree with teacher
  • Take sample
  • Main project
  • Mon 19th Nov Friday 30th Nov (lessons)
  • Hand in
  • Monday 10th December

22
A Warning about Excel
  • Great for holding the data and taking samples
  • Also excellent for calculations
  • Standard deviation
  • Correlation coefficient
  • Rubbish for
  • Creating graphs

23
A Summary
  • Use continuous data
  • Ensure you cover the areas needed for an A/A
  • Chapter 11 is a great resource but there is too
    much in it.
  • Dont underestimate how much there is to do
    dont leave it too late and check with your
    teacher or AMW if unsure
  • Make comparisons
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