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Mrs Newton is moving grade levels, she wants to make sure the reading level of her classroom library is

appropriate for her new students. She pulls fifteen books off her old shelf and flips to a random page.
From the page she records the number of upper level of vocabulary words. She repeats this method
after cleaning out her library and adding new books. The results are shown below.
Old Library
New Library
Median: 5
Median: 9
Range: 10
Range: 18
Which of the following statements is MOST LIKELY TRUE?
There is too much variability in Mrs. Newton's new library to draw any inferences from this data.
O Mrs. Newton is likely moving to a higher grade level.
O Mrs. Newton is likely moving to a lower grade level.
O There is no difference between the libraries, so Mrs. Newton needs to continue to update her library.

User JohnE
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1 Answer

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Based on the given data, it is MOST LIKELY TRUE that Mrs. Newton is likely moving to a higher grade level. This can be inferred because the median number of upper-level vocabulary words in her new library (9) is higher than the median in her old library (5), and the range of the number of upper-level vocabulary words is also greater in her new library (18) compared to her old library (10). These findings suggest that the books in her new library have a higher level of vocabulary and may be more appropriate for older or more advanced readers.

User Rifat Bin Reza
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