Examples
Examples
Try the starting example
- Mean
- 0
- Standard deviation
- 1
- Lower bound
- -1
- Upper bound
- 1
- Interval probability
- 0.682689
- Below lower bound
- 0.158655
- Above upper bound
- 0.158655
Try another scenario
- Mean
- 0
- Standard deviation
- 1
- Lower bound
- -1
- Upper bound
- 1
- Interval probability
- 0.682689
- Below lower bound
- 0.158655
- Above upper bound
- 0.158655
Calculation method
Calculation method
Interval probability
Standardize the interval bounds using z=(bound−mean)/standard deviation; subtract survival probabilities on the positive side to preserve small tails.
Below lower bound
Normal cumulative probability below the lower bound.
Above upper bound
Normal survival probability above the upper bound.
Symbols and units
- a
- Mean
- b
- Standard deviation
- c
- Lower bound
- d
- Upper bound
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Assumes a normal distribution. Numerical approximation is used for the cumulative distribution.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.