Answered: A population of scores has a mean =…

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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"A population of scores has a mean = 267.4 and a standard deviation value = 29.1. If a score was randomly selected from this population and it was 1.9 standard deviations above the mean, what would be the value of this score? Be sure to submit numeric responses that are rounded to the nearest hundredth (2nd decimal place)"

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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Given :

A population of scores has a mean = 267.4 and a standard deviation value = 29.1.

We know that ,

Z-scores indicate how many standard deviations away from the mean is a particular score.

Data which is two standard deviations below mean will have a z-score of -2, two standard deviations above the mean will have a z-score of +2

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