Answered: n why they are different. There is…

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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Mercury is a persistent and dispersive environmental contaminant found in many ecosystems around the world. When released as an industrial by-product, it often finds its way into aquatic systems where it can have deleterious effects on various avian and aquatic species. The accompanying data on blood mercury concentration (µg/g) for adult females near contaminated rivers in a state was read from a graph in an article.

0.20	0.23	0.26	0.30	0.35	0.41	0.54	0.57
1.43	1.70	1.84	2.20	2.24	3.08	3.26

(a) Determine the values of the sample mean and sample median. [Hint: Σx_i = 18.61.] (Round your answers to four decimal places.)

x = ?

Explain why they are different.

There is heavy positive skewness in the data.

They aren't different since the data is symmetric.

There are an odd number of data values.

There is heavy negative skewness in the data.

The sample mean and sample median are never equal.

(b) Determine the value of the 10% trimmed mean. (Round your answer to four decimal places.)

Compare to the mean and median.

It is below both the mean and median.

It is above both the mean and the median.

It is between the values of the mean and median.

It is the same as the mean.

It is the same as the median.

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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