The weight losses for participants in a large exercise and diet study vary according to a Normal distribution with mean 14.5 pounds and standard deviation 3 pounds. Approximately one-half of the participants in the study lose more than: A) 12.5 pounds B)16.5 pounds C)2 pounds D) 14.5 pounds

The weight losses for participants in a large exercise and diet study vary according to a Normal distribution with mean 14.5 pounds and standard deviation 3 pounds. Approximately one-half of the participants in the study lose more than: A) 12.5 pounds B)16.5 pounds C)2 pounds D) 14.5 pounds

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Description: The weight losses for participants in a large exercise and diet study vary according to a Normal distribution with mean 14.5 pounds and standard deviation 3 pounds. Approximately one-half of the participants in the study lose more than:A) 12.5 pounds

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Topic Video

Question

The weight losses for participants in a large exercise and diet study vary according to a Normal distribution with mean 14.5 pounds and standard deviation 3 pounds.

Approximately one-half of the participants in the study lose more than:

A) 12.5 pounds

B)16.5 pounds

C)2 pounds

D) 14.5 pounds

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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