EmployeeSalary (K$)CEO299CTO250CIO250CFO290Manager77Manager123Manager84Manager63Manager68Manager49Manager82Manager87Supervisor42Supervisor37Supervisor29Supervisor43Supervisor51Supervisor38Supervisor33Supervisor42Supervisor49Worker25Worker19Worker41Worker17Worker26Worker25Worker21Worker28Worker27Mean=77median=43How would you change salaries so that the mean stays the same but the median decreases?

Data can be raw or grouped, with some pros and cons associated with both of them. The raw data has…

Answered: Employee Salary (K$) CEO 299 CTO 250…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 22HP

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Question

Employee	Salary (K$)
CEO	299
CTO	250
CIO	250
CFO	290
Manager	77
Manager	123
Manager	84
Manager	63
Manager	68
Manager	49
Manager	82
Manager	87
Supervisor	42
Supervisor	37
Supervisor	29
Supervisor	43
Supervisor	51
Supervisor	38
Supervisor	33
Supervisor	42
Supervisor	49
Worker	25
Worker	19
Worker	41
Worker	17
Worker	26
Worker	25
Worker	21
Worker	28
Worker	27
Mean=	77
median=	43

How would you change salaries so that the mean stays the same but the median decreases?

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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