Average Calculator — Mean, Median & Mode | NovaCalculator
Calculate mean, median, mode, and range for any data set. Enter a list of numbers to get full descriptive statistics including standard deviation.
Formula
Mean = Sum / Count
Mean is the sum of all values divided by the count. Median is the middle value. Mode is the most frequent. Standard deviation measures spread.
Worked Examples
Example 1: Class Test Scores
Problem:Find mean, median, mode of: 85, 92, 78, 85, 90, 88, 85.
Solution:Mean = (85+92+78+85+90+88+85)/7 = 603/7 = 86.14\n\nSorted: 78, 85, 85, 85, 88, 90, 92\nMedian = 85 (middle value)\n\nMode = 85 (appears 3 times)
Result:Mean: 86.14, Median: 85, Mode: 85
Example 2: Investment Returns
Problem:Calculate average return: 12%, -5%, 8%, 15%, 3%.
Solution:Sum = 12 + (-5) + 8 + 15 + 3 = 33\nMean = 33/5 = 6.6%\n\nSorted: -5, 3, 8, 12, 15\nMedian = 8%\nRange = 15 - (-5) = 20%
Result:Average return: 6.6%, Median: 8%
Example 3: Standard Deviation
Problem:Find SD of: 2, 4, 4, 4, 5, 5, 7, 9.
Solution:Mean = 40/8 = 5\n\nVariance = [(2-5)² + (4-5)² + ... + (9-5)²]/8\n= [9+1+1+1+0+0+4+16]/8 = 32/8 = 4\n\nSD = √4 = 2
Result:Standard Deviation = 2
Frequently Asked Questions
What is the difference between mean, median, and mode?
Mean is the sum divided by count (arithmetic average). Median is the middle value when sorted. Mode is the most frequent value. Each measures 'center' differently.
When should I use median instead of mean?
Use median when data has outliers or is skewed. Example: incomes (a few billionaires skew the mean). Median better represents 'typical' value in skewed distributions.
What does 'no mode' mean?
If all values appear the same number of times (once each), there's no mode. Data can also have multiple modes (bimodal, multimodal) if several values tie for most frequent.
How do I calculate weighted average?
Multiply each value by its weight, sum the products, divide by sum of weights. Example: 80 (weight 2) and 90 (weight 3): (80×2 + 90×3)/(2+3) = 86.