Median Calculator

Median Calculation:

\[ \text{Median} = \begin{cases} \text{middle value} & \text{if odd number of values} \\ \frac{\text{value at } n/2 + \text{value at } (n/2 + 1)}{2} & \text{if even number of values} \end{cases} \]

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Median:

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1. What is the Median?

The median is the middle value in an ordered data set. Unlike the mean, it's not affected by extremely large or small values, making it a robust measure of central tendency.

2. How Does the Calculator Work?

The calculator follows these steps:

\[ \text{Median} = \begin{cases} \text{middle value} & \text{if odd number of values} \\ \frac{\text{value at } n/2 + \text{value at } (n/2 + 1)}{2} & \text{if even number of values} \end{cases} \]

Example Calculation:

For data set [3, 5, 7]: Median = 5 (middle value)
For data set [3, 5, 7, 9]: Median = (5+7)/2 = 6

3. Importance of Median Calculation

Details: The median is particularly useful when dealing with skewed distributions or outliers, as it provides a better representation of the "typical" value than the mean.

4. Using the Calculator

Tips: Enter numbers separated by commas. The calculator will sort the values and find the median automatically. Non-numeric values will be ignored.

5. Frequently Asked Questions (FAQ)

Q1: When should I use median instead of mean?
A: Use median when your data has outliers or is skewed, as the median is less affected by extreme values.

Q2: How does median handle even number of data points?
A: For even numbers, the median is the average of the two middle numbers after sorting.

Q3: Does the calculator sort the data?
A: Yes, the calculator first sorts the data in ascending order before finding the median.

Q4: What if I enter non-numeric values?
A: Non-numeric values will be automatically filtered out before calculation.

Q5: How precise is the median calculation?
A: The calculator shows results with up to 4 decimal places when needed.