Median Calculator
Calculate the median (middle value) of a set of numbers.
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Median Formula
The median is the middle value in a sorted dataset. If there is an even number of values, the median is the average of the two middle values.
For even number of values: Average of two middle values
How to Calculate Median
To calculate the median, follow these steps:
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1Sort all numbers in ascending order
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2If the number of values is odd, the median is the middle value
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3If the number of values is even, the median is the average of the two middle values
For example, to find the median of 2, 4, 6, 8, 10:
Number of values: 5 (odd)
Median = 6 (middle value)
Median - Practical Examples
Example 1 Test Scores
A student's test scores are: 85, 90, 88, 92, 87. What is the median score?
Sorted scores: 85, 87, 88, 90, 92
Number of scores: 5 (odd)
Median = 88 (middle value)
Example 2 Daily Temperatures
The daily temperatures for a week are: 72°F, 75°F, 70°F, 68°F, 73°F, 71°F, 74°F. What is the median temperature?
Sorted temperatures: 68, 70, 71, 72, 73, 74, 75
Number of temperatures: 7 (odd)
Median = 72°F (middle value)
Example 3 Monthly Expenses
Monthly expenses for a year: $1200, $1300, $1250, $1400, $1350, $1300, $1250, $1200, $1300, $1350, $1400, $1300. What is the median monthly expense?
Sorted expenses: 1200, 1200, 1250, 1250, 1300, 1300, 1300, 1300, 1350, 1350, 1400, 1400
Number of expenses: 12 (even)
Median = (1300 + 1300) / 2 = $1300