Answered: Suppose that the distribution of scores…

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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Suppose that the distribution of scores on an exam can be described by a normal curve with mean 110. The 16th percentile of this distribution is 80. (Use the Empirical Rule.)

(a)

What is the 84th percentile?

(b)

What is the approximate value of the standard deviation of exam scores?

(c)

What z score is associated with an exam score of 125?

(d)

What percentile corresponds to an exam score of 170?

(e)

Do you think there were many scores below 20? Explain.

A score of 20 is? standard deviations below the mean, and so the percentage of scores below 20 would be approximately

... how many percentage

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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