Answer :
In a normal distribution, the empirical rule (also known as the 68-95-99.7 rule) helps us understand how the data is distributed around the mean. Here’s how the rule works:
1. Approximately 68% of the values lie within one standard deviation of the mean.
2. Approximately 95% of the values lie within two standard deviations of the mean.
3. Approximately 99.7% of the values lie within three standard deviations of the mean.
Since we are interested in the percentage of values within two standard deviations, we use the second point of the rule. Thus, we conclude that:
[tex]$$
\text{Percentage of values within two standard deviations} \approx 95\%
$$[/tex]
So, the answer is [tex]$\boxed{95}$[/tex]%.
1. Approximately 68% of the values lie within one standard deviation of the mean.
2. Approximately 95% of the values lie within two standard deviations of the mean.
3. Approximately 99.7% of the values lie within three standard deviations of the mean.
Since we are interested in the percentage of values within two standard deviations, we use the second point of the rule. Thus, we conclude that:
[tex]$$
\text{Percentage of values within two standard deviations} \approx 95\%
$$[/tex]
So, the answer is [tex]$\boxed{95}$[/tex]%.
