Statistics Lecture Grouped Data

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    Definition of Terms

    A tabulation of data showing the number of times a

    score appears.

    The number of times a score or a group of scores

    (class) occurs in a population or sample.

    A group of scores in a population or sample.

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    Definition of Terms

    Halfway between the upper limit and lower limit of

    a class (also called midpoint).

    Halfway between the lower limit of one class and

    the upper limit of the preceding class (the exact

    limit).

    The frequency of one score or group of scores

    divided by the total frequency of all the

    observations.

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    Definition of Terms

    The frequency of any class plus the frequencies of

    all preceding class in a distribution.

    A pictorial representation of a set of data.

    A vertical bar graph that shows the frequencies of

    scores or classes of scores by the height of the bar.

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    Definition of Terms

    A graph on which the frequencies of classes are

    plotted at the class mark and the class marks are

    connected by straight lines.

    The relationship between two variables is shown by

    a series of dots plotted on a graph.

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    Formulas:

    Where:

    f = frequency

    M = score or class mark

    N = number of observations in the sample

    A = assumed mean

    =

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    Formulas:

    Difference between highest and lowest score.

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    Formulas:

    .

    Square root of variance ()

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    Formulas:

    Values that divide a set of observations into 100

    equal parts. It is denoted by P1 , P2,., P99, such that 1% of

    the data falls below P1.

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    Formulas:

    Values that divide a set of observations into 10 equal

    parts. It is denoted by D10 , D20,., D90, such that 20% of the

    data falls below D20.

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    Formulas:

    Values that divide a set of observations into 4 equal

    parts. It is denoted by Q1, Q2, ,Q3, such that 25% of the

    data falls below Q1.

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    Formulas: