Answered: The populations go groups A and B…

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 populations go groups A and B recorded the number of hours being active in a week. The results are listed below:

Group A) 29, 21, 14, 17, 35, 12, 29, 20 Group B) 29, 23, 19, 11, 12, 29, 15, 25, 29,

Based on this data, which is the following choices about the respective medians and modes is true?

The median of group A is greater than the median of group B and the mode of group A is greater than the mode of group B.

The median of group A is greater than the median of group B and the mode of group A is less than the mode of group B.

The median of group A is less than the median of group B and the mode of group A is less than the mode of group B.

The median of group A is less than the median of Group B and the mode of group A equals the mode of group B.

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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