Your company manufactures components for a tractor. The number of components produced each day over a forty day period is tabulated as follows:553526521528538523538546524544532554517549512528523510555545524512525543532533919521536534541535531551535519530549518531 Use the assumed mean, A = 534.5 to compute the arithmetic mean of the grouped data.

Class freq (f) mid (x) d=(x-A)/h f*d c*f 510-519 7 514.5 -2 -14 7 520-529 10 524.5 -1 -10 17…

Answered: Use the assumed mean, A = 534.5 to…

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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Your company manufactures components for a tractor. The number of components produced each day over a forty day period is tabulated as follows:

553	526	521	528	538	523	538	546	524	544
532	554	517	549	512	528	523	510	555	545
524	512	525	543	532	533	919	521	536	534
541	535	531	551	535	519	530	549	518	531

Use the assumed mean, A = 534.5 to compute the arithmetic mean of the grouped data.

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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