Compute the mean and standard deviation of the provided sample data on cost of living adjustments. Then compute the z-scores for the smallest and largest comparative salaries and housing adjustments and interpret your results."The z-scores show that the comparative salary amount for __ (St. Louis/New York/Columbus) is the farthest away from the __ (variance/standard deviation/mean) comparative salary amount. The z-scores also show that the housing amount for ___(St. Louis/New York/Columbus) is the fate these away from the ___ (variance/standard deviation/mean)." %24%24%24Calculate the mean and standard deviation for the comparative salary and housing columns.(Round to two decimal places as needed.)HousingComparativeSalaryMeanStandardDeviationFind the largest and smallest comparative salary amounts and calculate the z-scores for these amounts.(Round to two decimal places as needed.)CityComparativeSalaryZ-ScoresColumbus$54,578New York$136,024Calculate the Z-scores for the largest and smallest housing percentages.(Round to two decimal places as needed.)CityHousingZ-ScoresSt. Louis%6 -479%New YorkAPR23国一08F3escF2F4F5%23$4 Cost of Living Adjustments DataX -Cost of living adjustmentsComparativeSalaryCityHousingSan Francisco$105,241304%Dallas$58,072Philadelphia$72,04872%DC$87,892214%Pittsburgh%2459,57821%New Orleans$57,53024%Boston$85,904141%Indianapolis$55,1204%Seattle%2483,253133%Louisville$55,6022%Detroit$57,59015%Portland$77,349108%Columbus$54,578- 1%New York$136,024479%St. Louis%2456,084PrintDone

Given: The data given is as follows Comparative Salary (in $) Housing (in %) 105241 304…

Answered: ute the mean and standard deviation of…

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

Compute the mean and standard deviation of the provided sample data on cost of living adjustments. Then compute the z-scores for the smallest and largest comparative salaries and housing adjustments and interpret your results.

"The z-scores show that the comparative salary amount for __ (St. Louis/New York/Columbus) is the farthest away from the __ (variance/standard deviation/mean) comparative salary amount. The z-scores also show that the housing amount for ___(St. Louis/New York/Columbus) is the fate these away from the ___ (variance/standard deviation/mean)."

%24
%24
%24
Calculate the mean and standard deviation for the comparative salary and housing columns.
(Round to two decimal places as needed.)
Housing
Comparative
Salary
Mean
Standard
Deviation
Find the largest and smallest comparative salary amounts and calculate the z-scores for these amounts.
(Round to two decimal places as needed.)
City
Comparative
Salary
Z-Scores
Columbus
$54,578
New York
$136,024
Calculate the Z-scores for the largest and smallest housing percentages.
(Round to two decimal places as needed.)
City
Housing
Z-Scores
St. Louis
%6 -
479%
New York
APR
23
国一
08
F3
esc
F2
F4
F5
%23
$4

Cost of Living Adjustments Data
X -
Cost of living adjustments
Comparative
Salary
City
Housing
San Francisco
$105,241
304%
Dallas
$58,072
Philadelphia
$72,048
72%
DC
$87,892
214%
Pittsburgh
%2459,578
21%
New Orleans
$57,530
24%
Boston
$85,904
141%
Indianapolis
$55,120
4%
Seattle
%2483,253
133%
Louisville
$55,602
2%
Detroit
$57,590
15%
Portland
$77,349
108%
Columbus
$54,578
- 1%
New York
$136,024
479%
St. Louis
%2456,084
Print
Done

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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