Answered: Suppose IQ scores are approximately…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 23PFA

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Question

Suppose IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15. Answer the following questions. Calculated z-scores should be rounded to the nearest hundredth (two decimal places). Also, if a question asks for a percentage, then be sure to include the percent symbol (%) to avoid your answer being marked as incorrect due to this omission.

1. If an individual is randomly selected from the population, then what is the probability that his/her IQ is between 110 and 130? (Your answer should be left as a decimal expressed to four decimal places. No percents!)

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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