mathematics Verified Precision Tool
Median Calculator
Find the exact middle number of a sorted set of numbers.
Calculation Solution
Median = 30
Sorted: 10, 20, 30, 40, 50
Mathematical Formula
Median = Middle value of ordered dataset (or average of two middle values if count is even)
Overview & Explanation
The median is the middle value in a list of numbers sorted in ascending order. It is less affected by extreme outliers than the mean.
How It Works
- Sort all dataset values in ascending numerical order.
- If dataset length is odd, pick the exact center number.
- If dataset length is even, compute the average of the two central numbers.
Practical Applications
- Determining median household income.
- Analyzing real estate median home sale prices.
Worked Example: Median of 12, 5, 22, 30, 7
Find median.
1
Sort in Order
5, 7, 12, 22, 30
= Sorted list
2
Select Middle Element
Third value of 5 elements
= 12
Frequently Asked Questions
Why is median preferred over mean for income data?
Because extreme high outliers do not distort the median as heavily as they distort the mean.
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