Answered: Blood pressure values are often…

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

Blood pressure values are often reported to the nearest 5 mmHg (100, 105, 110, etc.). The actual blood pressure values for nine randomly selected individuals are given below.

128.6

137.4

148.4

140.0

123.7

132.0

118.3

141.5

143.2

(a) What is the median of the reported blood pressure values?
? mmHg

(b) Suppose the blood pressure of the second individual is 137.8 rather than 137.4 (a small change in a single value). What is the new median of the reported values?
? mmHg

What does this say about the sensitivity of the median to rounding or grouping in the data?

When there is rounding or grouping, the median is not sensitive to small changes.

When there is rounding or grouping, the median can be highly sensitive to small change.

When there is rounding or grouping, the median is only sensitive to large changes.

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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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