Answered: Q17 Identify the level of measurement…

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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Q17
Identify the level of measurement of the data, and explain what is wrong with the given calculation.
In a survey, the responses of respondents are identified as 100 for a " yes", 200 for a " no " , 300 for a maybe , and 400 for anything else. The average ( mean ) is calculated for 587 respondents and the results is 256.1.
The data are at the ____ level of measurement.
What is wrong with the given calculation ?
a. Such data are not counts or measures of anything, so the average ( mean ) needs to be computed in a different way.
b. Such data are not counts or measures of anything, so it makes no sense to compute their average ( mean ).
c. The true average ( mean ) is 202.4

d. There is nothing wrong with the given calculation.

The data are at the
What is wrong with 1
A. Such data a
OB. Such data a
OC. The true ave
D. There is notl
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level of measurement.
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sures of anything, so the average (mean) needs to be computed
isures of anything, so it makes no sense to compute their averag
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given calculation.
nominal
ordinal
interval
ratio

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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