Weights of college students on a large campus are assumed to be normally distributed with mean equal to 150 pounds. 97.5% of the students weigh less than 210 pounds. a. What is the standard deviation of the normal distribution? b. The college planned to organize a fitness program targeting the students with weight belonging to top 1.5%. What would be the minimum weight of the student for it to be included in the fitness program organized by the college?

Weights of college students on a large campus are assumed to be normally distributed with mean equal to 150 pounds. 97.5% of the students weigh less than 210 pounds. a. What is the standard deviation of the normal distribution? b. The college planned to organize a fitness program targeting the students with weight belonging to top 1.5%. What would be the minimum weight of the student for it to be included in the fitness program organized by the college?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Weights of college students on a large campus are assumed to be normally distributed with mean equal to 150 pounds. 97.5% of the students weigh less than 210 pounds.

a. What is the standard deviation of the normal distribution?
b. The college planned to organize a fitness program targeting the students with weight belonging to top 1.5%. What would be the minimum weight of the student for it to be included in the fitness program organized by the college?

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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