Question

question 6 of 10
in a normal distribution, what percentage of the data falls within 1 standard deviation of the mean?
a. 95%
b. 68%
c. 34%
d. 99.7%

Explanation:

Step1: Recall the empirical rule for normal distribution

The empirical rule (68 - 95 - 99.7 rule) states that for a normal distribution:

• Approximately 68% of the data lies within 1 standard deviation of the mean ($\mu\pm\sigma$), where $\mu$ is the mean and $\sigma$ is the standard deviation.
• Approximately 95% of the data lies within 2 standard deviations of the mean ($\mu\pm2\sigma$).
• Approximately 99.7% of the data lies within 3 standard deviations of the mean ($\mu\pm3\sigma$).

Answer:

B. 68%