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  • Perplex
    IB Math AIHL
    /
    Descriptive Statistics
    /

    Problem Bank

    [Maximum mark: 18]

    Dr. Darwin is investigating the clutch size (number of eggs per nest) of the different turtle species that nest on Eagle Island. He samples the island's nests by drawing a circle with a ​100m​ radius centered at random GPS coordinates, and repeats this process a total of 3 times. For every nest in the sampling zones, he records the species and the number of eggs in the nest. The surface area of the island is ​4km2.


    The 4 different species of marine turtles that lay eggs on the island are:

    • The Pacific Green Turtle (PG)

    • The Pacific Leatherback Turtle (LB)

    • The Indo-Pacific Hawksbill (IH)

    • The Olive Ridley Turtle (OR)


    The data collected is summarized in the table below.

    PG

    129

    130

    136

    115

    80

    106

    105

    108

    LB

    73

    102

    83

    89

    78

    105



    IH

    145

    173

    146

    158

    135

    103



    OR

    97

    103

    103

    108





    1. State the species of turtle whose clutch size has the greatest

      1. average,

        [3]

        To earn a crown, get your answer ready before you reveal the options!

      2. variance.

        [3]
    2. Draw and label a box and whisker plot summarizing the data on Pacific Green Turtle (PG) clutch size.

      [6]
    3. Fill in the following frequency table of clutch sizes in Dr. Darwin's sample.

      [3]


    Clutch Size

    Frequency

    70-89


    90-109


    110-139


    140-159


    160-179



    1. On the grid below, sketch a cumulative frequency diagram showing the distribution of clutch sizes in Darwin's sample.

      [3]

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