Mean Median Range Calculator

Statistical Formulas:

\[ \text{Mean} = \frac{\sum x_i}{n} \] \[ \text{Median} = \text{middle value of ordered dataset} \] \[ \text{Range} = \max(x_i) - \min(x_i) \]

Mean:

Median:

Range:

Sum:

Count (n):

Min:

Max:

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1. What is Mean, Median, and Range?

The mean is the average value of a dataset, the median is the middle value when the data is ordered, and the range shows the spread between the minimum and maximum values.

2. How Does the Calculator Work?

The calculator uses these formulas:

\[ \text{Mean} = \frac{\sum x_i}{n} \] \[ \text{Median} = \text{middle value of ordered dataset} \] \[ \text{Range} = \max(x_i) - \min(x_i) \]

Where:

\( x_i \) — Individual data points
\( n \) — Number of data points
\( \sum \) — Summation of all values
\( \max \) — Maximum value in dataset
\( \min \) — Minimum value in dataset

3. Importance of These Statistics

Details: These basic statistics provide fundamental insights into data distribution. The mean shows central tendency, the median is robust against outliers, and the range indicates variability.

4. Using the Calculator

Tips: Enter numeric values separated by commas. The calculator will ignore any non-numeric values. Results are rounded to 4 decimal places.

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: What does a large range indicate?
A: A large range suggests your data has a wide spread between minimum and maximum values.

Q3: How many decimal places should I use?
A: This depends on your measurement precision. The calculator shows 4 decimal places by default.

Q4: What if I enter non-numeric values?
A: The calculator will automatically filter out any non-numeric entries.

Q5: Can I calculate these for very large datasets?
A: Yes, though extremely large datasets might be better handled with statistical software.