Answered: The mean grade for a chemistry exam was…

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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Question

The mean grade for a chemistry exam was 76% with a standard deviation of 6%. The mean grade for a statistics exam was 81% with a standard deviation of 2%. Jason got an 83% on both exams. Which one did he do relatively better on?

A) Jason did equally well on both exams because both grades have a z-score above the mean of 83%.

B)Jason did relatively better on the chemistry exam because his z-score is further above the mean than for the statistics exam.

C) Jason did better on the chemistry exam because chemistry is more difficult than statistics.

D) Jason did better on the statistics exam because statistics is more difficult than chemistry.

E) Jason did relatively better on the statistics exam because his z-score is further above the mean than for the chemistry 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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