Answered: Determine whether the following data…

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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Determine whether the following data set is likely to be normally distributed. Explain the reasoning. The measured systolic blood pressure of randomly selected adult females.

Choose the correct answer below.

A. Not normally distributed. Most people will have pressures above the average causing a peak in the distribution at the

right.

Normally distributed because any large data set yields normally distributed values.

Normally distributed. Systolic blood pressure levels vary above and below the

mean

similar

amounts.

The

distribution

has

one

peak

and

symmetric.

Systolic

blood

pressure

results

from

many

factors.

Not normally distributed. Systolic blood pressures will be about the same

for

each

person,

causing

flat

distribution

curve

characteristic

uniform

Determine whether the following data set is likely to be normally distributed. Explain the reasoning.

The measured systolic blood pressure of randomly selected adult females.

Choose the correct answer below.

Not normally distributed. Most people will have pressures above the average

causing

peak

the

distribution

the

right.

Normally distributed because any large data set yields normally distributed values.

Normally distributed. Systolic blood pressure levels vary above and below the

mean

similar

amounts.

The

distribution

has

one

peak

and

symmetric.

Systolic

blood

pressure

results

from

many

factors.

Not normally distributed. Systolic blood pressures will be about the same

for

each

person,

causing

flat

distribution

curve

characteristic

uniform

Determine whether the following data set is likely to be normally distributed. Explain the reasoning.

The measured systolic blood pressure of randomly selected adult females.

Choose the correct answer below.

Not normally distributed. Most people will have pressures above the average

causing

peak

the

distribution

the

right.

Normally distributed because any large data set yields normally distributed values.

Normally distributed. Systolic blood pressure levels vary above and below the

mean

similar

amounts.

The

distribution

has

one

peak

and

symmetric.

Systolic

blood

pressure

results

from

many

factors.

Not normally distributed. Systolic blood pressures will be about the same

for

each

person,

causing

flat

distribution

curve

characteristic

uniform

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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