The problem says the variance should be12529.22959I am not sure how they got this number? Varatta Enterprises sells industrial plumbing valves. The following table lists the annual sales amounts for every salesperson in the organization for the most recent fiscal year.SalespersonSales Amount ($1000)SalespersonSales Amount ($1000)Joseph148Wei466Jennifer231Samantha409Phillip548Erin299Stanley329Dominic320Luke294Charlie189Lexie195Amol210Margaret369Lenisa412(a)Compute the mean (in $), variance, and standard deviation (in $) for these annual sales values. (Round your answers to the nearest whole number.)mean$ 315,643variance12528.22959standard deviation$ 111,934

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Description: The problem says the variance should be12529.22959I am not sure how they got this number? Varatta Enterprises sells industrial plumbing valves. The following table lists the annual sales amounts for every salesperson in the organization for the most

The data is provided for the annual sales values is $1000. (a) The mean can be calculated as;…

Answered: Varatta Enterprises sells industrial…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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The problem says the variance should be

12529.22959

I am not sure how they got this number?

Varatta Enterprises sells industrial plumbing valves. The following table lists the annual sales amounts for every salesperson in the organization for the most recent fiscal year.

Salesperson	Sales Amount ($1000)	Salesperson	Sales Amount ($1000)
Joseph	148	Wei	466
Jennifer	231	Samantha	409
Phillip	548	Erin	299
Stanley	329	Dominic	320
Luke	294	Charlie	189
Lexie	195	Amol	210
Margaret	369	Lenisa	412

(a)

Compute the mean (in $), variance, and standard deviation (in $) for these annual sales values. (Round your answers to the nearest whole number.)

mean$

315,643

variance

12528.22959

standard deviation$

111,934

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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