Answered: A. Given a normally distributed set of…

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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A. Given a normally distributed set of scores with mean = 86.5 and started deviation = 11.14, determine the approximate location of the following scores in terms of the standard deviation. 1. X = 100 2. X = 55.5 B. Given the set of data of battery exam scores, determine which of the following 10 students will pass the Human Anatomy Subject if the condition is to have a corresponding z score of 1 and above. Name of students Score 1. James 50 2. Miguel 35 3. Eliza 60 4. Rowell 54 5. Michael 40 6. Joan 45 7. Mariel 30 8. Julius 30 9. Cheska 45 10. Andrea 50 1. )What is the mean of the data? 2. )What is the standard deviation of the data? 3. )What are the corresponding Z scores of each student? Show your complete answer. 4. ) List the names of the all students who passed the battery exam?

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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