About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution? 47. 5% 68% 95% 99. 7%.

1 answer:

5 0

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: brainly.com/question/17101164

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