Concept explainers
To calculate: The percent of data that is within one-half standard deviation from mean in a standard
Answer to Problem 5OE
The percent of data that is within one-half standard deviation from mean is
Explanation of Solution
Given information:
In a standard normal curve the area under it and between
Formula used:
In a standard normal curve the area between two points
Calculation:
Consider the provided information that a standard normal curve the area under it and between
Recall that the in a standard normal curve the area between two points
In a standard normal curve mean is 0 and standard deviation is 1.
One--half standard deviation from mean is the area under the curve between
It is known that standard normal curve is symmetric about y -axis. Therefore, the area is twice the area between 0 and
Thus, the percent of data that is within one-half standard deviation from mean is
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Algebra and Trigonometry: Structure and Method, Book 2
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