Mary took 4 courses last semester: Biology, Calculus, Spanish, and History. The means and standard deviations for the final exams, and Mary's scores are given in the table below. Convert Mary's score into z scores. SubjectMeanStand. dev.Mary's scoreMary's z scoreBiology771077 Calculus701267 Spanish441250 History531637 On what exam did Mary have the highest relative score?(Enter the subject.) In the Spanish class, there was a student with a z-score of 0.6. What score did that student earn on the exam?

The following information has been given: Subject Mean μ Standard deviation σ Mary's (X) score…

Answered: Mary took 4 courses last semester:…

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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Mary took 4 courses last semester: Biology, Calculus, Spanish, and History. The means and standard deviations for the final exams, and Mary's scores are given in the table below. Convert Mary's score into z scores.

Subject	Mean	Stand. dev.	Mary's score	Mary's z score
Biology	77	10	77
Calculus	70	12	67
Spanish	44	12	50
History	53	16	37

On what exam did Mary have the highest relative score?
(Enter the subject.)

In the Spanish class, there was a student with a z-score of 0.6. What score did that student earn on the 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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