Which statistical question would result in more variability? Explain.

• Do you own a scooter and/or bicycle?

• About how many hours per week do you participate in sports?

1 answer

The question "About how many hours per week do you participate in sports?" is likely to result in more variability compared to "Do you own a scooter and/or bicycle?"

Explanation:

  1. Nature of the Questions:

    • The first question ("Do you own a scooter and/or bicycle?") is a binary question with only two potential answers: yes or no. This results in a limited range of responses and hence less variability. Most respondents will either fall into one of these two categories without much variation.
    • The second question requires respondents to quantify the time they spend on sports, which can vary significantly from person to person. Responses can range from 0 hours (for people who don't participate in sports) to potentially many hours, resulting in a wide range of possible responses.
  2. Distribution and Range:

    • The first question's responses would be limited to a simple count of individuals owning each type of vehicle, leading to a distribution that does not reflect much diversity in opinions or behaviors.
    • The second question allows for a continuous range of responses, where some individuals may participate in sports for less than an hour a week, while others may engage for several hours or more. This creates a broader spectrum of responses, leading to greater variability in the dataset.

In summary, the second question about sports participation is likely to yield more variability because it allows for a wider range of responses due to individual differences in how much time people dedicate to sports.

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