Average Calculator

Average Calculator Calculate Average Enter numbers separated by commas, spaces, o...

Average Calculator

Calculate Average

Enter numbers separated by commas, spaces, or new lines:

💡 To save as PDF:
Click "Print or Save as PDF" above → Choose "Save as PDF" as your printer → Click "Save".

Results

Numbers Entered: 0

Sum: 0

Arithmetic Mean: 0

Median: 0

Mode: No mode

Range: 0

Standard Deviation: 0

Data Visualization

85

92

78

96

88

Average Formula:

Mean = (Sum of all values) ÷ (Number of values)

Understanding Averages and Statistics

The average (arithmetic mean) is one of the most fundamental statistical measures used to understand and summarize a set of numbers. It provides a single representative value that indicates the central tendency of your data.

Arithmetic Mean is calculated by adding all numbers together and dividing by the count of numbers. Median is the middle value when numbers are arranged in order, which is less affected by extreme values (outliers). Mode is the most frequently occurring value in the dataset.

Range shows the spread between the highest and lowest values, while Standard Deviation measures how much the values vary from the mean. A low standard deviation indicates values are close to the mean, while a high standard deviation shows greater variability.

This calculator helps students, teachers, researchers, and professionals quickly compute these essential statistical measures for any dataset, making data analysis accessible and efficient.

Frequently Asked Questions

Q: What's the difference between mean, median, and mode?
A: Mean is the average (sum divided by count). Median is the middle number when sorted. Mode is the most frequent number. For example, with [1, 2, 2, 3, 9]: mean = 3.4, median = 2, mode = 2. Mean is affected by outliers, while median and mode are more robust.

Q: When should I use median instead of mean?
A: Use median when your data has outliers or is skewed. For example, household income is often reported as median because a few very high incomes would make the mean misleadingly high. Median gives a better representation of the "typical" value in such cases.

Q: What does standard deviation tell me?
A: Standard deviation measures how spread out your numbers are from the average. A low standard deviation (close to 0) means most values are near the mean. A high standard deviation indicates values are spread out over a wider range. About 68% of values fall within one standard deviation of the mean in a normal distribution.

Q: Can I calculate weighted averages with this calculator?
A: This calculator computes simple arithmetic averages. For weighted averages (where some values count more than others), you would need to multiply each value by its weight, sum those products, then divide by the sum of weights. This requires a different calculation approach.

Q: How do I handle negative numbers?
A: This calculator works perfectly with negative numbers. Simply include them in your input (e.g., "-5, 10, -3, 15"). The calculations will account for negative values correctly in all statistical measures including mean, median, range, and standard deviation.

Q: What if all my numbers are the same?
A: If all numbers are identical, the mean, median, and mode will all equal that number. The range will be 0 (since max = min), and the standard deviation will also be 0 (no variation from the mean). This indicates perfect consistency in your dataset.

Q: How many numbers can I input?
A: There's no practical limit to the number of values you can input. You can enter hundreds or even thousands of numbers separated by commas, spaces, or line breaks. The calculator will process them all and provide accurate statistical results.