Median
Grade 6-8
The middle value when data is arranged in order. Median resists outliers.
Definition
The middle value when data is arranged in order. Half the values are above it, half below.
💡 Intuition
If you lined up your whole class by height, the median height is the person standing exactly in the middle. It's not affected by whether the tallest kid is 5'5" or 7 feet - the middle person stays the same.
🎯 Core Idea
The median is the literal middle value once data is sorted. It splits the data set in half and resists being pulled by extreme outliers.
Example
🌟 Why It Matters
Median resists outliers. For home prices or salaries, median often represents 'typical' better than mean, which gets pulled by extremes.
Related Concepts
🚧 Common Stuck Point
Students forget to sort the data first. Finding the 'middle' of an unsorted list gives a meaningless answer.
⚠️ Common Mistakes
- Forgetting to order data first
- Confusing with mean
- Not averaging two middle values for even-sized data
Frequently Asked Questions
What is Median in Statistics?
The middle value when data is arranged in order. Half the values are above it, half below.
Why is Median important?
Median resists outliers. For home prices or salaries, median often represents 'typical' better than mean, which gets pulled by extremes.
What do students usually get wrong about Median?
Students forget to sort the data first. Finding the 'middle' of an unsorted list gives a meaningless answer.
What should I learn before Median?
Before studying Median, you should understand: mean fair share.
Prerequisites
How Median Connects to Other Ideas
To understand median, you should first be comfortable with mean fair share.