Answered: Thirty-four college students were asked…

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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Thirty-four college students were asked how much money they spent on textbooks for the current semester. Their responses are shown in the following stemplot.

a. Describe a procedure for identifying potential outliers, and use the procedure to decide whether there are outliers among the responses for the money spent on textbooks.

b.Based on the stemplot, write a few sentences describing the distribution of money spent on textbooks for the 34 students.

c.One of the students spent $160 on books for the semester. If that value had been $260 instead, what effect would that increase have on the following statistics? Justify your answers.

1. The mean
2. The median

1
233455 6 7 8
2
1234 5 688 999
3
122789
4
1457
13
6
7
1
Key: 1|2 = $120
2.

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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