Answered: 600 400 200 +++ 5 10 15 20 25 30 35 40…

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

Heart attack stays The histogram shows the lengths of

hospital stays (in days) for all the female patients ad-
mitted to hospitals in New York during one year with a

primary diagnosis of acute myocardial infarction (heart
attack).

a) From the histogram, would you expect the mean or
median to be larger? Explain.
b) Write a few sentences describing this distribution
(shape, center, spread, unusual features).

c) Which summary statistics would you choose to sum-
marize the center and spread in these data? Why?

600
400
200
+++
5 10 15 20 25 30 35 40
Stay (days)
Page
9
# of Female Patients

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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