Find the largest and smallest comparative salary amounts and calculate the z-scores for these amounts.(Round to two decimal places as needed.)CityComparative Salaryz-scoresColumbus$54,578 New York$136,024 Image of data is attachedI've also calculated the mean and s.d. for both. Comparative Salary HousingMean $71172.6 88.8 Standard Deviation $22,102.83 130.90% Cost of living adjustmentsCityComparativeSalaryHousingNew York$136,024479%San Diego$86,446187%Louisville$55,6022%Phoenix$57,65121%Austin$57,53013%Seattle$83,253133%DC$87,892214%Detroit$57,59015%Indianapolis$55,1204%Boston$85,904141%Chicago$70,00073%Dallas$58,072- 4%Columbus$54,578- 1%Denver$65,84364%St. Louis$56,084- 9%

It is known that, Z score is given by, Z-score= (X-mean)/standard deviation For comparative salary,…

Answered: Find the largest and smallest…

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

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

Image of data is attached

I've also calculated the mean and s.d. for both.

Comparative Salary Housing

Mean $71172.6 88.8

Standard

Deviation $22,102.83 130.90%

Cost of living adjustments
City
Comparative
Salary
Housing
New York
$136,024
479%
San Diego
$86,446
187%
Louisville
$55,602
2%
Phoenix
$57,651
21%
Austin
$57,530
13%
Seattle
$83,253
133%
DC
$87,892
214%
Detroit
$57,590
15%
Indianapolis
$55,120
4%
Boston
$85,904
141%
Chicago
$70,000
73%
Dallas
$58,072
- 4%
Columbus
$54,578
- 1%
Denver
$65,843
64%
St. Louis
$56,084
- 9%

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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