The percentage of data that lies within 2 standard deviations of the mean in a normal distribution is 95%.
A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.
For a normal distribution:
- About 68% of the data lie within one standard deviation of the mean.
- About 95% of the data lie within two standard deviations of the mean.
- About 99.7% of the data lie within three standard deviations of the mean.
Please find attached an image of a normal distribution. A similar question was answered here: https://brainly.com/question/17101164
