Answered: The brain volumes (cm3) of 20 brains…

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 brain volumes

(cm3)

of 20 brains have a mean of

1125.4

cm3

and a standard deviation of

129.2

cm3.

Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of

1333.8

cm3

be significantly high?

Significantly low values are

nothing

cm3

or lower.

(Type an integer or a decimal. Do not round.)

Significantly high values are

nothing

cm3

or higher.

(Type an integer or a decimal. Do not round.)

1333.8

cm3

significantly high?

No, because it is below the lower limit separating value.

Yes, because it is between the limits separating values.

No, because it is between the limits separating values.

No, because it is above the upper limit separating value.

Yes, because it is below the lower limit separating value.

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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