Answered: The following monthly salaries for…

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

Question

The following monthly salaries for supervisors from six different counties were reported: $5456 (Kern), $5166 (Monterey), $4443 (Santa Cruz), $4129 (Santa Barbara), $2600 (Placer), and $2220 (Merced). San Luis Obispo County supervisors are supposed to be paid the average of the two counties among these six in the middle of the salary range.

(a) Which measure of center determines this salary?

medianmean

What is its value? (Enter your answer as a whole number.)
$

(b) Why is the other measure of center featured in this section not as favorable to these supervisors (although it might appeal to taxpayers)?

Since the median salary is smaller, the median salary is less favorable to the supervisors.Since the mean salary is smaller, the mean salary is less favorable to the supervisors.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Expert Solution