Hi, how to illustrate the mean, variance and standard deviation? Can you show me the solution. The formula is written on a yellow paper. Thank you Independent Activity 2: Study and analyzeThe number of patients seen in the Emergency Room in any given hour is a randomvariable represented by x. The probability distribution for x is:1011121314P(X) 0.4 0.2 0.2 0.1 0.1 NO:DATEFORMULAEXPECT VAUME OR MEAN VAMEE(X) = Pe= Xq P(Xx)+Xz P(X2)+ ... t Xn .P(Xn) Ex.PX)%3DVARIANCEVar (x) = ox= E (x-Kx)? .P&x)all possiblevaluies of xSTANDARD VARIANICE) DEVIATIONVar Cx)vox?or

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Description: Hi, how to illustrate the mean, variance and standard deviation? Can you show me the solution. The formula is written on a yellow paper. Thank you Independent Activity 2: Study and analyzeThe number of patients seen in the Emergency Room in any given

Given: X P(X) 10 0.4 11 0.2 12 0.2 13 0.1 14 0.1

Answered: Independent Activity 2: Study and…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 47E

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Hi, how to illustrate the mean, variance and standard deviation? Can you show me the solution. The formula is written on a yellow paper. Thank you

Independent Activity 2: Study and analyze
The number of patients seen in the Emergency Room in any given hour is a random
variable represented by x. The probability distribution for x is:
10
11
12
13
14
P(X) 0.4 0.2 0.2 0.1 0.1

NO:
DATE
FORMULA
EXPECT VAUME OR MEAN VAME
E(X) = Pe
= Xq P(Xx)+Xz P(X2)+ ... t Xn .P(Xn) Ex.PX)
%3D
VARIANCE
Var (x) = ox= E (x-Kx)? .P&x)
all possible
valuies of x
STANDARD VARIANICE) DEVIATION
Var Cx)
vox?
or

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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Independent Activity 2: Study and analyze The number of patients seen in the Emergency Room in any given hour is a random variable represented by x. The probability distribution for x is: 10 11 12 13 14 P(X) 0.4 0.2 0.2 0.1 0.1