Answered: Mikayla and Kathryn began arguing about…

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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Mikayla and Kathryn began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Mikayla took a test in Art History and earned a 80.1, and Kathryn took a test in Math and earned a 64.6. Use the fact that all the students' test grades in the Art History class had a mean of 72 and a standard deviation of 9.3, and all the students' test grades in Math had a mean of 61.5 and a standard deviation of 8.5 to answer the following questions.

a) Calculate the z-score for Mikayla's test grade.
z=z= [Round your answer to two decimal places.]

b) Calculate the z-score for Kathryn's test grade.
z=z= [Round your answer to two decimal places.]

c) Which person did relatively better?

Mikayla
Kathryn
They did equally we

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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