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Name: 25. A researcher develops a test for identifying intellectually gifted
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Description: 25. A researcher develops a test for identifying intellectually gifted children, with a m of 56 and a sX of 8. (a) What percentage of children are expected to score below 60? (b) What percentage of the scores will be below 54? (c) A gifted child is d

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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25. A researcher develops a test for identifying intellectually gifted children, with a m of 56 and a sX of 8. (a) What percentage of children are expected to score below 60? (b) What percentage of the scores will be below 54? (c) A gifted child is defined as being in the top 20%. What is the minimum test score needed to qualify as gifted? 26. Using the test in question 25, you measure 64 children, obtaining a X of 57.28. Dexter says that because this X is so close to the m of 56, this sample is rather average. (a) Perform the appropriate procedure to evaluate this mean. (b) Decide if Dexter’s assertion is correct by using percent to describe this mean’s relative standing.

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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