Average Calculator

Mean is the arithmetic average (sum divided by count), median is the middle value when numbers are ordered, and mode is the most frequently occurring value. For example, in [1,2,2,3,9], mean=3.4, median=2, mode=2. Each measure reveals different insights about your data.

Use median when your data has outliers or extreme values that would skew the mean. For example, in salary data [30k, 35k, 40k, 45k, 500k], the mean is 130k (misleading), but the median is 40k (more representative). Median better represents typical values in skewed distributions.

To calculate the average (mean), add all numbers together and divide by how many numbers there are. For example, the average of 2, 4, 6, 8 is (2+4+6+8)÷4 = 20÷4 = 5. Our calculator does this automatically and provides additional statistics like median and mode.

Standard deviation measures how spread out numbers are from the average. A low standard deviation means values cluster close to the mean, while high standard deviation indicates wide variation. It's essential for understanding data consistency, quality control, risk assessment, and scientific analysis.

Yes, our calculator works with negative numbers, decimals, and any combination of values. The mean, median, mode, and other statistics are calculated correctly regardless of whether your numbers are positive, negative, whole numbers, or decimals.

Range is the difference between the highest and lowest values in your dataset. It gives a quick sense of how spread out your data is. For example, in the set [5, 10, 15, 20], the range is 20-5 = 15. Our calculator automatically shows the range along with other statistical measures.

Weighted averages assign different importance to different values. For example, calculating a grade where tests count 60% and homework 40%. While standard averages treat all values equally, weighted averages multiply each value by its weight before dividing by the sum of weights. This is crucial for academic grades, portfolio returns, and prioritized scoring.

Variance measures how far each number in the dataset is from the mean, squared. High variance means data points are spread far from the average, indicating inconsistency. Low variance means data clusters tightly around the mean, showing consistency. It's essential for risk assessment, quality control, and understanding data reliability.

Yes, for simple unweighted GPA, enter all your grade points and calculate the mean. For weighted GPA where different courses have different credit hours, you'll need to multiply each grade by its credits, sum those products, then divide by total credits. Our average calculator helps with the arithmetic part of GPA calculations.

Outliers (extremely high or low values) can significantly skew the mean, making it unrepresentative. For example, in [10, 12, 11, 13, 100], the mean is 29.2, but the median is 12. When outliers are present, median often better represents typical values, which is why our calculator shows both statistics.