Answered: Your measuremennt Groupmates mesuremet…

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

For the data given in the attached table, find:

a. Calculate by hand, the mean, standard error (sample standard deviation), and standard error of the mean.

b. Does a measurement of 2.03 fall within the 95% confidence interval of your measurements (column 1 data)? What about your group mate's (column 2 data)?

c. The exact value is found to be 2.07. Did you or your group mate take the more precise measurements? How do you know?

d. Who took the more accurate measurements? How do you know?

Your
measuremennt
Groupmates
mesuremet
2.12
2.31
2.04
2.02
1.98
1.96

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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