Average Formula:
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The average (or arithmetic mean) is a measure of central tendency that represents the typical value in a set of numbers. It's calculated by summing all values and dividing by the count of values.
The calculator uses the average formula:
Where:
Explanation: This formula gives equal weight to each value in the dataset, providing a balanced central value.
Details: Averages are fundamental in statistics, finance, research, and everyday decision-making. They help summarize data, identify trends, and make comparisons across different datasets.
Tips: Enter the total sum of all values and the number of values. Both values must be positive numbers (sum ≥ 0, count ≥ 1).
Q1: What's the difference between average, median, and mode?
A: Average is the sum divided by count, median is the middle value, and mode is the most frequent value. Each measures central tendency differently.
Q2: When shouldn't I use the average?
A: Avoid using average when your data has extreme outliers or is not normally distributed, as it can be misleading in these cases.
Q3: Can I calculate average for negative numbers?
A: Yes, the average formula works for both positive and negative numbers, though this calculator only accepts positive sums.
Q4: How is average used in financial contexts?
A: In finance, averages are used for calculating average returns, average costs, average prices, and many other financial metrics.
Q5: What are weighted averages?
A: Weighted averages assign different importance to different values, unlike the standard average which treats all values equally.