Math Problem Statement
Solution
This is a question related to the empirical rule (or the 68-95-99.7 rule) which applies to normal distributions. According to this rule:
- About 68% of the population lies within 1 standard deviation of the mean.
So, the correct answer to the question is 68%.
Would you like further clarification or more details on the empirical rule?
Here are some follow-up questions related to the topic:
- What percentage of data lies within 2 standard deviations of the mean in a normal distribution?
- How does the empirical rule differ from Chebyshev's inequality?
- How do outliers affect the spread of data in a normal distribution?
- What is the significance of the standard deviation in a normal distribution?
- Can the empirical rule be applied to distributions that are not normal?
Tip: The empirical rule is useful in quickly estimating probabilities for data that follows a normal distribution, but it doesn't apply to all types of distributions.
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Math Problem Analysis
Mathematical Concepts
Statistics
Standard Deviation
Empirical Rule (68-95-99.7 Rule)
Formulas
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Theorems
Empirical Rule
Suitable Grade Level
Grades 7-10
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