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Which Score Has a Higher Relative Position, a Score of 299

question 82

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Which score has a higher relative position, a score of 299 on a test with a mean of 260 and a standard deviation of 26, or a score of 42 on a test with a mean of 40 and a a standard deviation of 4? (Assume that the distributions being compared have approximately the same shape.)


Definitions:

Mean

The average of a set of numbers, calculated by dividing the sum of all numbers by the count of numbers.

Investment

The allocation of resources, usually financial, in expectation of generating an income or profit.

Portfolio Expected Return

The weighted average of the expected returns of the assets in an investment portfolio.

Equal Investment

A strategy where equal amounts of capital are allocated to each investment within a portfolio.

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