Math Problem Statement
Solution
This question refers to the concept of a normal distribution. In a normal distribution:
- About 68% of the data lies within one standard deviation (±1 SD) of the mean.
- 95% of the data lies within two standard deviations (±2 SD) of the mean.
- 99.7% of the data lies within three standard deviations (±3 SD) of the mean.
The shaded region in the image is within ±1 SD from the mean, so 68% of the data falls within this range.
Correct answer: 68%
Would you like more details or have any other questions?
Here are five related questions you might find interesting:
- How do you calculate standard deviation for a dataset?
- What does a normal distribution signify in statistics?
- How is the 68-95-99.7 rule useful in probability?
- Can the normal distribution be skewed?
- What are examples of data that follow a normal distribution?
Tip: The "68-95-99.7 rule" is a quick way to remember how data is distributed in a normal distribution.
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Math Problem Analysis
Mathematical Concepts
Normal Distribution
Standard Deviation
Formulas
68-95-99.7 rule for normal distribution
Theorems
Empirical Rule (68-95-99.7 Rule)
Suitable Grade Level
Grades 9-12
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