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    MAT-152-Formulas P2 Exam

    Uploaded by

    Diane Delos Reyes

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    MAT-152-Formulas P2 Exam

    Uploaded by

    Diane Delos Reyes
    353 views2 pages

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    Copyright:

    © All Rights Reserved
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    353 views2 pages

    MAT-152-Formulas P2 Exam

    Uploaded by

    Diane Delos Reyes

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 2

    MAT 152 – FORMULAS • Lesson 10 – Measures of Central Tendency

    UNGROUPED DATA:
    • Lesson 8 – Constructing Frequency Distribution
    Table ➢ Mean :
    ∑𝑥
    Arithmetic mean: x̅ = 𝑛
    ➢ (R) range - difference between the largest and ∑𝑥𝑤
    smallest numbers Weighted mean : 𝑤x̅ = ∑𝑤
    ➢ Median :
    R = (largest number) – (smallest number)
    𝑚𝑒𝑑𝑖𝑎𝑛 = (𝑚𝑖𝑑𝑑𝑙𝑒𝑣𝑎𝑙𝑢𝑒𝑖𝑛𝑎𝑟𝑟𝑎𝑛𝑔𝑒𝑑𝑠𝑒𝑡)
    ➢ (K) Sturges Formula :
    ➢ Mode :
    Let, N = total number of observations
    𝑚𝑜𝑑𝑒 = (𝑚𝑜𝑠𝑡𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑣𝑎𝑙𝑢𝑒)
    K = (1 + 3.322log𝑁) (Note that you need to
    round-off the value)

    ➢ (C) Class Interval Size : GROUPED DATA:

    Let, R = range and K = number of class intervals ➢ Mean:


    𝑹
    𝐶=
    𝑲

    ➢ C is also called the Class size – The difference


    between two consecutive lower-class limits or
    two consecutive upper-class limits.
    ➢ (f) Class frequency - the number of data that ➢ Median:
    belong to its class interval.
    ➢ (n) Sample Size

    n = total of the frequency (∑ 𝑓)

    ➢ (LBC) Lower Class Bound - middle value


    between the lower class limit and the upper
    class limit of the preceding class
    ➢ (UCB) Upper Class Boundary – middle value
    between the upper class limit and the lower ➢ Mode:
    class limit of the next class.
    ➢ (CM) Class mark :
    (𝑙𝑜𝑤𝑒𝑟 𝑙𝑖𝑚𝑖𝑡) + (𝑢𝑝𝑝𝑒𝑟 𝑙𝑖𝑚𝑖𝑡)
    𝐶𝑀 =
    2

    ➢ (<CF) Cumulative frequency “less than” :

    < 𝑪𝑭 =
    adding the frequencies successively from the lowest to the highest interval
    ➢ (>CF) Cumulative frequency “greater than” :

    > 𝑪𝑭 =
    adding the frequencies successively from the highest to the lowest class interval.
    ➢ (RF%) Relative Frequency Percentage :
    𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦(𝑓)
    𝑅𝐹% = 𝑡𝑜𝑡𝑎𝑙𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦(∑ 𝑓) 𝑥 100%
    Lesson 11: Variance and Standard Deviation Lesson 14: Regression Materials: Analysis

    ➢ Variance: ➢ Dependent Variable: The main factor


    thatyou’re trying to understand or predict.
    ➢ Independent Variables:

    ➢ Standard Deviation : square root of variance

    Lesson 12: Computing Probabilities Under Standard


    Normal Curve

    ➢ Standardized Normal Distribution

    Lesson 13: Computing Linear Relationship using


    pearson correlation coefficient

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