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

Question

Brittany Santana

Mathematics

2 April, 08:22

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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Answers (2)

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Anya Pruitt · Answer 1

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.