In a normal distribution, how much of the data falls within one standard deviation?99.7%95%100%68%

To answer your question about the normal distribution, let's break down the key concepts:

Understanding Normal Distribution

The normal distribution is a bell-shaped distribution characterized by its mean (µ) and standard deviation (σ). In a normal distribution, approximately:

1. 68% of the data falls within one standard deviation of the mean (µ ± σ).
2. 95% of the data falls within two standard deviations (µ ± 2σ).
3. 99.7% of the data falls within three standard deviations (µ ± 3σ).

Analyzing the Options

Now, from the options given:

• 99.7%
• 95%
• 100%
• 68%

The correct answer related to the percentage of data that falls within one standard deviation of the mean in a normal distribution is 68%.

Final Answer

Thus, the correct answer is 68%.