Below are the monthly salaries for all 16 employees of the star corp data analysis corporation find the mean and as of employees salaries Below are the monthly salaries for all 16 employees of the StatCorp Data Analysis Corporation. Answer thequestions that follow by yourself or with a partner.Monthly salaries:612512800 7500 7400 7350 7250 6500 635060005230 5100 2800 2500 2500585957605760523051001) Find the mean and standard deviation of employee's salaries. Why are we using u and σ ?H =The StatCorp Corporation Activity2) Business has been good, so every employee receives a raise of $1000. What will happen to the meanand standard deviation?P =σ =3) Business has not been good. Suppose that we have to cut everyone's pay by $800 (the originalsalaries). Predict the new mean and standard deviation of salaries?P=σ =P=4) Suppose that we doubled everyone's original salary. What will happen to the mean and standarddeviation?σ =0 =5) Suppose that we give everyone a 30% raise over their original salary. Predict the new mean andstandard deviation of salaries?σ =

The data on the monthly salary of 16 employees of the StatCrop data analysis corporation is given…

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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 13PPS

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Below are the monthly salaries for all 16 employees of the star corp data analysis corporation find the mean and as of employees salaries

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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