Question content area topPart 1Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of51.6degrees. Low Temperature(◦F)40−4445−4950−5455−5960−64 Frequency361372 Part 1The mean of the frequency distribution isenter your response heredegrees.(Round to the nearest tenth as needed.)Part 2Which of the following best describes the relationship between the computed mean and the actual mean? A.The computed meanisclose to the actual mean because the difference between the means islessthan 5% of the actual mean. B.The computed meanisclose to the actual mean because the difference between the means ismorethan 5% of the actual mean. C.The computed meanis notclose to the actual mean because the difference between the means islessthan 5% of the actual mean. D.The computed meanis notclose to the actual mean because the difference between the means ismorethan 5% of the actual mean.

The frequency distribution is given as follows: Low Temperature (◦F) 40−44 45−49…

Answered: Question content area top Part 1 Find…

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 content area top

Part 1

Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of

51.6

degrees.

Low Temperature (◦F)	40−44	45−49	50−54	55−59	60−64
Frequency	3	6	13	7	2

Part 1

The mean of the frequency distribution is

enter your response here

degrees.

(Round to the nearest tenth as needed.)

Part 2

Which of the following best describes the relationship between the computed mean and the actual mean?

The computed mean

close to the actual mean because the difference between the means is

less

than 5% of the actual mean.

The computed mean

close to the actual mean because the difference between the means is

than 5% of the actual mean.

The computed mean

is not

close to the actual mean because the difference between the means is

less

than 5% of the actual mean.

The computed mean

is not

close to the actual mean because the difference between the means is

than 5% of the actual mean.

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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