Sam took 4 courses last semester: Spanish, Physics, Biology, and Calculus. The means and standard deviations for the final exams, and Sam's scores are given in the table below. Convert Sam's score into z scores. SubjectMeanStand. dev.Sam's scoreSam's z scoreSpanish441247 Physics601484.5 Biology771082 Calculus701279 On what exam did Sam have the highest relative score?(Enter the subject.) In the Biology class, there was a student with a z-score of 1.2. What score did that student earn on the exam?

Given data is Subject Mean Stand. dev. Sam's score Sam's z score Spanish 44 12 47 Physics…

Answered: Sam took 4 courses last semester:…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 11PPS

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

Subject	Mean	Stand. dev.	Sam's score	Sam's z score
Spanish	44	12	47
Physics	60	14	84.5
Biology	77	10	82
Calculus	70	12	79

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

In the Biology class, there was a student with a z-score of 1.2. 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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