Answered: that indicate Maggie’s Z scores on each…

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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Maggie attends Happy Days preschool. The preschool assessed the children’s motor skills (i.e. the ability to tie their shoes), social skills (i.e. sharing and saying please) and school readiness (i.e. knowledge of ABC’s & basic counting ability). The motor skills test has a class mean of 9.50 with a standard deviation of 1.25. The social skills test has a class mean of 10.25 with a standard deviation of 1.10. The school readiness test has a class mean of 11.43 with a standard deviation of 1.30. For each test higher score means better performance of that skill. Maggie’s parents are given a report card that indicate Maggie’s Z scores on each test which are motor skills = -0.72, social skills = 1.21 & school readiness = 0.00.

16. What is Maggie’s raw score for social skills?

17. What is Maggie’s raw score for school readiness?

18. What percentage of her class scored higher than Maggie on the social skills test?

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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