Answered: Data was collected about the number of…

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

Data was collected about the number of text messages a sample of college students received in the last day. In this particular sample, most students received few text messages, but a small number of students received a very large number of text messages. Two measures of center were computed for this sample: 15.6 and 20.2. One of these measures is the mean and one is the median. Which measure must be the median?

1 The median is 20.2 because the distribution of number of text messages would be skewed to the left.

2 The median is 20.2 because the distribution of number of text messages would be skewed to the right.

3 The median is 15.6 because the distribution of number of text messages would be skewed to the left.

4 The median is 15.6 because the distribution of number of text messages would be skewed to the right.

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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