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If Only the Upper 30% of a Normally Distributed Class

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If only the upper 30% of a normally distributed class passed a quiz for which the mean was 70 and the standard deviation was 10,what was the lowest score a student could have received and still have passed?


Definitions:

Epiphysis

The terminal section of a lengthy bone that originally develops independently from the main body.

Spongy Bone

Spongy bone, also known as cancellous bone, is less dense bone that is found at the ends of long bones and in the inner layers of other bones, characterized by a porous structure.

Diaphysis

The shaft or central part of a long bone, typically cylindrical in shape and containing the marrow cavity.

Epiphyseal Lines

Remnants of the epiphyseal plate in long bones, signifying the end of bone growth in length.

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