What is the difference between mean, median, and mode?

Mean: sum divided by count (2+4+6 = 12/3 = 4). Median: middle value when sorted (2,4,6 = 4; for 2,4,6,8 = 5). Mode: most frequent value (2,4,4,6 = 4). Mean is sensitive to outliers; median is more robust.

How do I calculate a weighted average?

Multiply each value by its weight, sum the products, divide by total weight. Example: Test scores 80 (weight 2) and 90 (weight 3): (80×2 + 90×3) / (2+3) = (160+270)/5 = 86. Used for GPAs, portfolios, and grading systems.

When should I use median instead of mean?

Use median when data has outliers or is skewed. Income data: mean can be inflated by billionaires, median shows typical person. Home prices: a few expensive homes skew the mean up. For normally distributed data, mean and median are similar.

How do I find the average of percentages?

Only average percentages directly if they represent equal-sized groups. Otherwise, calculate weighted average using group sizes. Example: 90% of 10 students + 80% of 30 students = (9+24)/(10+30) = 33/40 = 82.5%, not (90+80)/2 = 85%.

What is standard deviation?

Standard deviation measures spread around the mean. Low SD = data clustered near average. High SD = data spread out. Calculate: find mean, subtract mean from each value, square differences, average squares, take square root. ~68% of data falls within 1 SD of mean.

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Average Calculator

Mean (average) = sum of values ÷ count. For 2, 4, 6: mean = 12/3 = 4. Median = middle value when sorted. Mode = most frequent value. Weighted average multiplies each value by its weight before averaging.

Calculate mean, median, mode, and standard deviation. Enter multiple numbers to get complete statistical analysis.

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Statistics Definitions

Mean: Sum of all values divided by count (average)
Median: Middle value when sorted
Mode: Most frequently occurring value(s)
Standard Deviation: How spread out the values are

How to Use

Enter your value in the input field
Click the Calculate/Convert button
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Frequently Asked Questions

What is the difference between mean, median, and mode?: Mean: sum divided by count (2+4+6 = 12/3 = 4). Median: middle value when sorted (2,4,6 = 4; for 2,4,6,8 = 5). Mode: most frequent value (2,4,4,6 = 4). Mean is sensitive to outliers; median is more robust.
How do I calculate a weighted average?: Multiply each value by its weight, sum the products, divide by total weight. Example: Test scores 80 (weight 2) and 90 (weight 3): (80×2 + 90×3) / (2+3) = (160+270)/5 = 86. Used for GPAs, portfolios, and grading systems.
When should I use median instead of mean?: Use median when data has outliers or is skewed. Income data: mean can be inflated by billionaires, median shows typical person. Home prices: a few expensive homes skew the mean up. For normally distributed data, mean and median are similar.
How do I find the average of percentages?: Only average percentages directly if they represent equal-sized groups. Otherwise, calculate weighted average using group sizes. Example: 90% of 10 students + 80% of 30 students = (9+24)/(10+30) = 33/40 = 82.5%, not (90+80)/2 = 85%.
What is standard deviation?: Standard deviation measures spread around the mean. Low SD = data clustered near average. High SD = data spread out. Calculate: find mean, subtract mean from each value, square differences, average squares, take square root. ~68% of data falls within 1 SD of mean.

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