Form 4 Mathematics Chapter 6

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    Chapter 6: Statistics

    Frequency Table for Grouped Data:

    Score Frequency Cumulative

    Frequency

    Lower

    limit

    Upper

    limit

    Lower

    Boundary

    Upper

    Boundary

    Midpoint

    13 4 4 1 3 0.5 3.5 2

    46 2 6 4 6 3.5 6.5 5

    79 9 15 7 9 6.5 9.5 8

    10 - 12 3 18 10 12 9.5 12.5 11

    Class interval: 1-3, 4-6, 7-9, 10-12

    Class size: Upper BoundaryLower Boundary

    Modal class: Class interval with the highest

    frequencyExample: 7-9 Mean =

    ( )

    Histogram Frequency Polygon

    Ogive

    Mark the x-axis with class

    boundariesMark the x-axis with midpoints

    FrequencyFrequency

    Mark the x-axis with

    upperboundaries

    Third quartile

    Median

    First quartile

    3n/4

    n/2

    n/4

    n

    Cumulative Frequency

    Form 4 Mathematics

    Chapter 6: Statistics

    Interquartile range= Third Quartile - First Quartile

    Range

    = Highest value - Smallest value

    For grouped data,

    Range

    = Midpoint of last class - midpoint of

    first class