Answered: In the article "IQ Scores are Up and…

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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In the article "IQ Scores are Up and Psychologists Wonder Why", New York Times reporter Trish Hall noted that people are now scoring substantially higher on IQ tests than they did in the past. "Studies show that if children took the same (1932 IQ) test today, half would score above 120 on the 1932 scale," writes Hall. Currently, IQ scores have a mean of 100,
a standard deviation of 15 and a normal distribution. If today's American children took the 1932 IQ test, the mean score would be 120 instead of 100 as it was in 1932. Identify at least one factor that you think might partially explain the rise in IQ scores.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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