A) Calculate the mean and standard deviation of the data below with the attach equations (picture 1) and what is the standard error of the mean.DATA BELOW:0.8775 +- 0.00510.8751+- 0.00610.8791+-0.00790.84087+-0.0039B) find the weighted average (picture 2) and uncertainty from the data above Mean of all four measurements:N1#Σ =StiNi=1Standard deviation of all four measurements:0.4ΓOst =δt=1N-1Σ=1(δt; – δt)2= where W₁=σXwavW1X1 + W2X2 + W3X3 + W4X4W1 + W2 + W3 + W41is the “weight” of measurement x1 ± 61:: XwavܬܐܕThe uncertainty in the weighted average isGwavπου επιμέ1VEwi+FAS+=SwixiSwi

Mean = sum of all observations/number of observations (n) = (0.8775+0.8751+0.8791+0.84087)/4 =…

Answered: A) Calculate the mean and standard…

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

A) Calculate the mean and standard deviation of the data below with the attach equations (picture 1) and what is the standard error of the mean.

DATA BELOW:

0.8775 +- 0.0051

0.8751+- 0.0061

0.8791+-0.0079

0.84087+-0.0039

B) find the weighted average (picture 2) and uncertainty from the data above

Mean of all four measurements:
N
1
#Σ =
Sti
N
i=1
Standard deviation of all four measurements:
0.4
Γ
Ost =
δt
=
1
N-1
Σ=1(δt; – δt)2
=

where W₁
=
σ
Xwav
W1X1 + W2X2 + W3X3 + W4X4
W1 + W2 + W3 + W4
1
is the “weight” of measurement x1 ± 61
:: Xwav
ܬܐܕ
The uncertainty in the weighted average is
Gwav
που επιμέ
1
VEwi
+
FAS
+
=
Swixi
Swi

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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