PangPang Tools10, 12, 14, 16
Mean 13 · Population SD 2.236068 · Sample SD 2.581989The squared deviations sum to 20. Divide by 4 for the population or 3 for the sample, then take the square root.
General & Math
Standard deviation calculator
About this tool
Paste measurements or scores to compare their average and spread. The same number list provides mean, median and both population and sample standard deviation. Four observations work as before; longer lists are also supported.
Statistics
Choose a task. Inputs stay in this page only.
MAKE IT SIMPLE
Result
Worked examples
MAKE IT SIMPLE
Result
Worked examples
1, 2, 3, 4, 10
Mean 4 · Median 3The sum is 20 across five numbers. The value 10 raises the mean above the middle value.
-2, 0, 4, 6
Mean 2 · Median 2The middle values are 0 and 4, so their midpoint is 2.
Questions & answers
Does average mean the same thing as median?
Here, average means the arithmetic mean: sum divided by count. Median is the middle of the sorted list. A high outlier can change the mean substantially while changing the median very little.
Can I enter weighted values?
This tool gives each entered value equal weight. It does not calculate a weighted mean; enter repeated observations individually only when each occurrence is one observation.
MAKE IT SIMPLE
Result
Worked examples
First value 75 · First weight 3 · Second value 90 · Second weight 2
Weighted sum: 405 · Total weight: 5 · Weighted mean: 81Calculate a weighted average from a list of values and matching importance weights. Weights must be nonnegative and at least one weight must be positive.