The Springfield Daily Gazette has reported that the average salary for City of Springfield employees is $81,500. The Gazette is claiming that city employees’ salaries are too high, and many of the citizens (who pay the taxes to support the city) are upset. The city council has called a special meeting to discuss whether employee salaries should be cut by 10–15%. You have collected data on employee incomes for the city, as shown below. In a paragraph of at least five or six sentences, explain what the measures of central tendency and standard deviation tell about the income of city employees. Using this information, respond to city council members. Should employee salaries be reduced? Why or why not?City of Springfield Employee Income DataMean = $81,500Median = $35,000Mode = $35,000Standard Deviation = $147,367

Name: The Springfield Daily Gazette has reported that the average salary for
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: The Springfield Daily Gazette has reported that the average salary for City of Springfield employees is $81,500. The Gazette is claiming that city employees’ salaries are too high, and many of the citizens (who pay the taxes to support the city) are

Lack of symmetry of tails ( about mean) of a frequency distribution curve is known as skewness. The symmetry of tails means that the frequency of the points at equal distances on both sides of the centre of the curve x-axis is the same. Also, the area under the curve at equidistant intervals on both sides of the centre is also equal. Departure from symmetry leads to skewness. It is adjudged by the elongation of the right and left tails of the curve. Kurtosis means bulginess. Kurtosis relates to the peakedness of a frequency curve as compared to a normally peaked curve. If a frequency distribution curve then it is called a Kurtic curve. This property of bulginess is called kurtosis.Given: Mean = $81,500Median = $35,000Mode = $35,000Standard Deviation = $147,367 Since Mean< Median < Mode, the given employee income distribution is negatively skewed. A distribution is said to be negatively skewed if the longer tail lies towards the left side. Again, S.D. is too high showing that the income variability from the average income is too high. This means the distribution is leptokurtic and there is a presence of many outliers in the data. Thus, there is an income disparity between employees i.e. many are getting extreme salaries either high or low. The employee salaries reduction is an unwise option as those extreme outliers below-average income will face difficulty. The wise option here will be to mediate the salary structure according to designation and experience.

Answered: The Springfield Daily Gazette has…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

The Springfield Daily Gazette has reported that the average salary for City of Springfield employees is $81,500. The Gazette is claiming that city employees’ salaries are too high, and many of the citizens (who pay the taxes to support the city) are upset. The city council has called a special meeting to discuss whether employee salaries should be cut by 10–15%. You have collected data on employee incomes for the city, as shown below. In a paragraph of at least five or six sentences, explain what the measures of central tendency and standard deviation tell about the income of city employees. Using this information, respond to city council members. Should employee salaries be reduced? Why or why not?

City of Springfield Employee Income Data
Mean = $81,500
Median = $35,000
Mode = $35,000
Standard Deviation = $147,367

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions