Given That on One Section of the SAT the Mean

question 49

Multiple Choice

Given that on one section of the SAT the mean is 500 and the standard deviation is 100, what is the approximate probability of a student scoring 400 or lower or 500 or higher on the test?​

• A)0.12
• B)0.22
• C)0.45
• D)0.66

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Definitions:

Bivariate Distributions

Probability distributions that involve two random variables, analyzing the correlation and dependencies between them.

Expected Values

The predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of data values.

Mean

Mean is the arithmetic average of a set of numbers, calculated by dividing the sum of these numbers by the count of numbers in the set.