Answered: An employer is ready to give her…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.2: Representing Data

Problem 22PFA

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An employer is ready to give her employees a raise and
is considering two plans. Plan A is to give each person
an $8.00 per day increase. Plan B is to give each person

a 10% increase. Data on the current pay of these employ-
ees shows that the median pay is $80 per day with an

interquartile range of $10. Which of the following data
sets will have the same median?A) The current pay and Plan A only
B) The current pay and Plan B only
C) Plan A and Plan B only
D) The current pay, Plan A, and Plan B
E) None; the current pay, Plan A, and Plan B will all
have different medians.

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.

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