Answer the problem and show your solution: The IQs of Grade 11 students in Pulot National High School were measured and found to be normally distributed with a mean of 98 and a standard deviation of 8. If a student from the school is chosen at random, what is the probability that his score is higher than 110?

Answer the problem and show your solution: The IQs of Grade 11 students in Pulot National High School were measured and found to be normally distributed with a mean of 98 and a standard deviation of 8. If a student from the school is chosen at random, what is the probability that his score is higher than 110?

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

Answer the problem and show your solution:

The IQs of Grade 11 students in Pulot National High School were measured and found to be normally distributed with a mean of 98 and a standard deviation of 8. If a student from the school is chosen at random, what is the probability that his score is higher than 110?

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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