Answered: Scores on a certain IQ test are…

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

Scores on a certain IQ test are approximately normally distributed with a mean of 100 and a
standard deviation of 20 for a certain population of school children. For purposes of this
exercise, treat this distribution as continuous. Find the proportion of the population having a
score
(a) less than 130,
(b) between 110 and 130,
(c) between 80 and 110,
(d) less than 61 or greater than 139,
(e) greater than 133.
(f) Find the score which is the 90th percentile of this IQ distribution, that is, the score that
has 90% of the population below it.

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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