Question

Assume that song bouts are normally distributed. Determine the percentage of song bouts that have a duration within one standard deviation on either side of the mean. Determine the percentage of song bouts that have a duration within two standard deviations on either side of the mean.

Answer 1

Approximately 68 percent of song bouts will have a duration within one standard deviation of the mean, and approximately 95 percent will have a duration within two standard deviations.

Step-by-step explanation:

The percentage of song bouts that have a duration within one standard deviation on either side of the mean can be determined using the empirical rule for bell-shaped distributions. According to this rule, approximately 68 percent of the data falls within one standard deviation of the mean. Therefore, approximately 68 percent of the song bouts will have a duration within one standard deviation of the mean.

The percentage of song bouts that have a duration within two standard deviations on either side of the mean can also be determined using the empirical rule. According to this rule, approximately 95 percent of the data falls within two standard deviations of the mean. Therefore, approximately 95 percent of the song bouts will have a duration within two standard deviations of the mean.