Answered: IQ scores are known to be approximately…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

IQ scores are known to be approximately normally distributed, with a mean of 100 and a standard deviation of 15.

a) What proportion of the population will have an IQ below 80?

b) What proportion of the population will have an IQ below 110?

c) What proportion of the population will have an IQ between 110 and 115?

d) What score will the top 10% of the population have an IQ greater than? (to one decimal place,find the closest Z value in the table).

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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