Answered: IQ is a scoe that is transofrmed so…

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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IQ is a scoe that is transofrmed so that it has a normal distribution with a mean 100 and standard deviation 16. Let x be the IQ of a randomly chosen person. Mensa welcomes people from every walk of line whose IQ is in the top 2% of the population. What would the cut off IQ be for this organization?"

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.

Expert Solution

Step 1

Given ,

IQ is a score (X) that is transformed so that it has a normal distribution.

Mean = $\bar{x}$ = 100

Standard deviation = $σ$ = 16

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