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You Were Told That the Mean Score on a Statistics

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You were told that the mean score on a statistics exam is 75 with the scores normally distributed.In addition,you know the probability of a score between 55 and 60 is 4.41% and that the probability of a score greater than 90 is 6.68%.The middle 86.64% of the students will score between which two scores?


Definitions:

Coefficient of Variation

A statistical measure that assesses the relative variability of data points around the mean, indicating the level of dispersion.

Standard Deviation

A statistical measure of the dispersion or variability of a set of values, often used in finance to quantify the risk associated with an investment's return.

Perfectly Positively Correlated

A relationship between two variables where they move in the same direction at the same time with a correlation coefficient of +1.

Portfolio Risk

The potential for loss or underperformance across a collection of investments held by an individual or institution.

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