Maths unit 3&4

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Maths unit 3&4
2011-02-17 04:54:06
further maths

study notes for further maths units 3&4
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  1. Types of data
    • Categorical: Ordinal, nominal
    • Numerical: Discrete, continuous
  2. Categorical
    A category is recorded when the data is collected.
  3. Numerical
    • When data is collected a number is recorded. There are two types
    • Discrete: The numbers are distinct values, often whole numbers and usually the data comess from counting.
    • Continuous: Any number on a continuous number line is recoded; usally the data is produced by measuring to any desired level of accuracy.
  4. Bar chart
    Categorical data
  5. Mode
    The most frequently occuring value or category.
  6. Segmented bar chart & Percentage segmented bar chart
    Categorical data
  7. Histogram
    • Continuous data
    • Columns are joined together
  8. Column graph
    • Discrete data
    • Equal width with spaces between
  9. Symmetrical
    Same shape either side of the centre
  10. Positively skewed
    Tails off to the right
  11. Negatively skewed
    Tails off to the right
  12. Outliers
    Extreme values, well away from the majority of data, should be considered.
  13. Range
    largest value - smallest value
  14. Stemplot
    discrete data
  15. Median
    • O2
    • The middle value when the data is ordered
    • (n+1/2)
  16. The interquartile range
    • IQR
    • Q3 - Q1
    • Q3= the midpoint of the upper half
    • Q1= the midpoint of the lower half
  17. Box plot
    • Minimum
    • Q1
    • median
    • Q3
    • maximum
  18. Mean
    • αΊ‹
    • The average
    • mean= sum of data values/ total number of data values
  19. 68%
    one standard deviation of the mean
  20. 95%
    two sd of the mean
  21. 98%
    three sd of the mean