Answered: The table shows data from a survey…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The table shows data from a survey about the number of times families eat at restaurants during a week the families are either from Rome Italy or New York, New York:

Which of the choices below best describes how to measure the center of this data?

A. Both centers are best described with the mean

B. Both centers are best described with the median

C. The Rome data center is best described by the mean the New York data center is best described by the median

High Low Q1 Q3 IQR Median Mean o
Rome
21
1.
1.5 7.5 6
4.5
6.5
6.6
New York 20
1.
3.5 7.5 4
6.5
5.2
5.

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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