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27 December, 01:25

Two students are assigned a census in a town of 200 people to determine how many pairs of shoes each person owns. Neither student completes the census. Bill surveys 40 people, while Carmen surveys 150. While both get a mean of 4.5 pairs of shoes, Bill records an inter-quartile range of 2.0 and Carmen gets an inter-quartile range of 5.5. Carmen's data is more accurate because

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  1. 27 December, 02:28
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    Answer: a
  2. 27 December, 03:24
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    B) her sample was larger.

    Explanation:

    While some people own two pairs of shoes, others may own 20 or more pairs. This high degree of variation shows up as a high

    interquartile range in a statistically meaningful survey. Carmen's data is more accurate because her sample was larger.
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