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# ECE 302: Lecture 4.4 Median, Mode, and Mean - mean median mode definition

ECE 302: Lecture 4.4 Median, Mode, and Mean
Prof Stanley Chan
School of Electrical and Computer Engineering
Purdue University
?Stanley Chan 2022. All Rights Reserved.
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Median
Given a sequence of numbers
n 1 2 3 4 5 6 7 8 9 . . . 100
xn 1.5 2.5 3.1 1.1 -0.4 -4.1 0.5 2.2 -3.4 . . . -1.4
Find the median.
Step 1: You sort the sequence
Step 2: You pick the one in the middle
If we have a random variable, what is the ideal median?
?Stanley Chan 2022. All Rights Reserved.
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Median from PMF
Definition
Let X be a continuous random variable with PDF fX . The median of X is
a point c R such that
c
fX (x)dx = fX (x)dx. (1)
- c
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How to identify and calculate the mean, median, and mode? Use the following steps to identify the median within a sample data set: Organize your data chronologically Arrange the numbers in your data set in order from least to greatest. ... Determine which value is in the middle Since the example data set {65, 70, 75, 80, 90} has an odd number of values in the set, you can easily ... Find the mean between the two middle values

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