Normal Distribution CDF for 2 Values Calculator
Calculates the cumulative distribution function between two values.
The cumulative normal distribution function between x1 and x2.
Formula: normdist(x2, mn, sd, 1) - normdist(x1, mn, sd, 1)
See the Statistical Distributions Overview page for more statistical distribution calculators.
Example 1
A baseball shall weigh not less than five nor more than 5 1/4 ounces avoirdupois.
If a shipment has an mean of 5.1 oz and standard deviation of .05 oz, what percent are within the specifications
| Value | Keystrokes | Display | Description |
|---|---|---|---|
| 5 | x1 | 5.0000 | Stores the x1 value. |
| 5.25 | x2 | 5.2500 | Stores the x2 value. |
| 5.1 | μ | 5.100 | Stores the mn (mean) value. |
| .05 | σ | 0.0500 | Stores the sd (standard deviation) value. |
| cdf | 0.9759 | Calculates the cumulative normal distribution between x1 and x2. |
So, about 97.6%
Example 2
What would the standard deviation of be so that 99% are within the specifications?
These keystrokes assume the values from example 1.
| Value | Keystrokes | Display | Description |
|---|---|---|---|
| .99 | cdf | .9900 | Stores the cdf value. |
| σ | 0.0428 | Calculates the sd value. |
Reference: