A population of caribou has weights that are distributed like a bell-shaped curve. The mean weight is 125 pounds with a standard deviation of 12 pounds. Use the empirical rule to approximate the percent of weights that are between 101 and 137 pounds.

The empirical rule states that approximately 68% of the data in a normal distribution falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

To apply the empirical rule to this problem, we need to convert the weight range of 101 to 137 pounds into units of standard deviation. To do this, we subtract the mean weight of 125 pounds from each value and divide it by the standard deviation of 12 pounds.

So the weight range of 101 to 137 pounds corresponds to the standard deviation range of:

(101 - 125) / 12 = -2

(137 - 125) / 12 = 1

So the weight range of 101 to 137 pounds corresponds to the standard deviation range of -2 to 1.

According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean. Therefore, approximately 68% of the weight fall between 101 and 137 pounds.

To learn more about Standard deviation

brainly.com/question/23907081

#SPJ4

Answer 2 · 2024-10-10T09:34:46-04:00

Approximately 68% of the weight fall between 101 and 137 pounds.

The empirical rule states that approximately 68% of the data in a normal distribution falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

To apply the empirical rule to this problem, we need to convert the weight range of 101 to 137 pounds into units of standard deviation. To do this, we subtract the mean weight of 125 pounds from each value and divide it by the standard deviation of 12 pounds.

So the weight range of 101 to 137 pounds corresponds to the standard deviation range of:

(101 - 125) / 12 = -2

(137 - 125) / 12 = 1

So the weight range of 101 to 137 pounds corresponds to the standard deviation range of -2 to 1.

According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean. Therefore, approximately 68% of the weight fall between 101 and 137 pounds.

To learn more about the standard deviation, visit:

brainly.com/question/23907081

#SPJ4