Question

What percentage of the data lies between one standard deviation below the mean to one standard deviation above the mean?

Select one or more:
a.68%
b.34%
c.95%
d.99.7%
e.16%

Answer 1

About 68% of the data lies within one standard deviation from the mean in a normal distribution, according to the Empirical Rule.

Step-by-step explanation:

For data that follows a normal distribution, which is bell-shaped and symmetric, about 68% of the data falls within one standard deviation from the mean. This is a part of the Empirical Rule that describes the percentage of data within certain standard deviation intervals. Specifically, the following percentages apply to a normal distribution:

• Approximately 68% of the data lies within one standard deviation of the mean.
• Approximately 95% of the data lies within two standard deviations of the mean.
• More than 99% of the data lies within three standard deviations of the mean.

Therefore, the correct answer to the question is 68%, which corresponds to option (a).