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  • Perplex
    IB Math AASL
    /
    Descriptive Statistics
    /

    Problem Bank

    [Maximum mark: 7]

    At the end of the 2024 fishing season on Fork Lake, 60 anglers (amateur fishers) were randomly surveyed. They were asked how many bass they caught over the whole season. The information is summarized in the following frequency table:

    Number of fish caught

    Frequency

    0

    7

    1

    12

    2

    10

    3

    19

    4

    ​k​

    5

    3

    Assume that this sample is representative of all anglers in any season, and that all anglers have equal skill.

    1. State the value of ​k.

      [1]

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

    2. For the 2025 season estimate

      1. the probability a randomly selected angler will catch fish,

        [1]
      2. the expected number of fish caught by an angler over the season.

        [2]

    The U.S Fish and Wildlife Service (USFWS) estimates that the bass population in Lake Fork will grow by ​8%​ between the 2024 and 2025 fishing seasons.

    1. Given that the bass population was ​110′000​ at the end of the 2024 season, estimate the number of bass in the Lake at the opening of the 2025 season.

      [1]

    The USFWS wants the bass population to remain unchanged year to year.

    1. How many seasonal fishing permits should be granted in 2025? Give your answer to the nearest hundred.

      [2]

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