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    Q4 Week 1

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    balisalisagrade10
    yeseudjdkdddjfnfjfjfc

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    Q4 Week 1

    Uploaded by

    balisalisagrade10
    16 views29 pages
    yeseudjdkdddjfnfjfjfc

    Original Title

    Q4-Week-1-ppt

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    yeseudjdkdddjfnfjfjfc

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    16 views29 pages

    Q4 Week 1

    Uploaded by

    balisalisagrade10
    yeseudjdkdddjfnfjfjfc

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 29

    Measures of Position

    (Ungrouped Data)
    Week 1, Quarter 4!
    2

    Attendance Check
    Type in the chatbox what superpower you
    want to possess and why.
    4

    Objectives
    At the end of this lesson, the students
    must be able to:
    ⊸ Differentiate percentiles from deciles and
    quartiles; and
    ⊸ Calculate for specific measures of position
    given ungrouped data
    5

    MELCS
    The most essential learning competencies
    of the week are:
    ⊸ Illustrates the measures of position
    ⊸ Calculate a specific measure of position
    6

    What are the


    measures of position?
    Let’s define!
    7

    Measures of position tell


    where a specific data value
    falls within the data set or its
    relative position in
    comparison with other data
    values.
    8

    QUARTILES
    ⊸ Score points that divide a distribution
    into four equal parts
    ⊸ 25% of the distribution is below the
    FIRST QUARTILE (Q1)
    ⊸ 50% of the distribution is below the
    SECOND QUARTILE (Q2), which is also
    the MEDIAN
    ⊸ 75% of the distribution is below the
    THIRD QUARTILE (Q3)
    9

    QUARTILES

    Q1 Q2 Q3

    Q3 – Q1 is called the interquartile range


    10

    DECILES
    ⊸ Score points that divide a distribution
    into 10 equal parts
    11

    PERCENTILES
    ⊸ Score points that divide a distribution
    into 100 equal parts
    ⊸ The 10th percentile separates the
    lowest 10% from the other 90%
    ⊸ By definition, P25 = Q1, P50 = Q2 and
    P75 = Q3
    12

    QUARTILES

    Remember, if the answer is a decimal, you need to


    round it off to the nearest integer.
    13

    EXAMPLE:
    ⊸ Last month, Dr. Cho recorded the
    number of patients who recovered
    from COVID-19 for 11 consecutive
    days. The results were 10, 8, 5, 9, 16,
    13, 11, 4, 9, 3, 10.

    ⊸ Find the quartiles.


    14

    EXAMPLE:
    ⊸ We will use the Mendenhall and
    Sincich (M&S) Method. First, arrange
    the data into ascending order.
    3, 4, 5, 8, 9, 9, 10, 10, 11, 13, 16

    ⊸ Identify the median, and n


    15

    EXAMPLE:
    ⊸ Use the formulas:
    16

    EXAMPLE #2:
    ⊸ Given this data set {5, 9, 15, 11, 13, 18,
    15, 8, 17, 16, 20, 7, 4}, find the
    quartiles.

    ⊸ In ascending order, this is


    4, 5, 7, 8, 9, 11, 13, 15, 15, 16, 17, 18, 20

    ⊸ The median is and n =


    17

    EXAMPLE #2:
    ⊸ Using the data and the formulas, we get
    18

    EXAMPLE #2:
    ⊸ Because Q1 is a decimal, we need to do
    LINEAR INTERPOLATION.
    ⊸ 4, 5, 7, 8, 9, 11, 13, 15, 15, 16, 17, 18, 20
    1. Because Q1 = 3.5, we need the 3rd and
    4th values

    2. Subtract
    3. Multiply by the decimal that we got
    (0.5)
    19

    EXAMPLE #2:
    4. Add this to the 3rd value/smaller number

    The value of Q1 =

    This means 25% of the data has the value


    and below
    20

    DECILES!
    Let’s define!
    21

    DECILES

    ⊸ Formula
    22

    EXAMPLE #1
    ⊸ Given this set of data {9, 14, 17, 15, 10,
    11, 19, 10, 8, 7, 15}, find the 4th and 7th
    decile.

    ⊸ In ascending order, the results are:


    7, 8, 9, 10, 10, 11, 14, 15, 15, 17, 19
    23

    EXAMPLE #1
    ⊸ 7, 8, 9, 10, 10, 11, 14, 15, 15, 17, 19
    24

    EXAMPLE #1
    ⊸ 7, 8, 9, 10, 10, 11, 14, 15, 15, 17, 19
    25

    PERCENTILES!
    Let’s define!
    26

    PERCENTILES

    ⊸ Formula
    27

    EXAMPLE #1
    ⊸ Students from 10-Topaz have the following
    grades for Math this quarter: {85, 84, 87,
    89, 75, 78, 89, 90, 92, 80, 77, 81, 86, 85, 88},
    find the 30th and the 85th percentile.

    ⊸ In ascending order, the results are:


    75, 77, 78, 80, 81, 84, 85,85, 86, 87, 88, 89,
    89, 90, 92
    28

    EXAMPLE #1
    ⊸ 30th percentile (using M&S method)
    29

    EXAMPLE #1
    ⊸ 85th percentile (using Interpolation)

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