The IQs of applicants to a certain college are approximately normally distributed with a mean of 112 and a standard deviation of 15. If the college requires an IQ of above 89, how many percent of the applicants will be accepted? A. 1.53% B. 6.30% C. 93.70% D. 25.46%

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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The IQs of applicants to a certain college are approximately normally distributed with a mean of 112 and a standard deviation of 15. If the college requires an IQ of above 89, how many percent of the applicants will be accepted? A. 1.53% B. 6.30% C. 93.70% D. 25.46% For a certain type of computer, the length of time between charges of the battery is normally distributed with a mean of 50 hours and a standard deviation of 5 hours. Assuming there were 900 computers that were put to test, how many computers have a battery life of between 40 to 60? a. 858 b. 850 c. 614 d. 596

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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