Normal Distribution Calculator: Lower & Upper Bound
Normal distribution, also known as Gaussian distribution, is a fundamental concept in statistics. The lower and upper bounds of a normal distribution are crucial for understanding the spread of data and making informed decisions. Our calculator helps you determine these bounds with ease.
- Enter the mean, standard deviation, and confidence level in the respective fields.
- Click the “Calculate” button.
- View the results and chart below the calculator.
The formula for calculating the lower and upper bounds of a normal distribution is:
Lower Bound = Mean – (Z * Standard Deviation)
Upper Bound = Mean + (Z * Standard Deviation)
Where Z is the Z-score corresponding to the desired confidence level.
| Mean | Standard Deviation | Confidence Level | Lower Bound | Upper Bound |
|---|
- Always use the appropriate confidence level based on your data and the decision you’re making.
- Remember that the normal distribution curve is symmetric around the mean.
- Consider using a statistical software or calculator for complex calculations.
What is the difference between mean, median, and mode?
Mean, median, and mode are all measures of central tendency, but they differ in how they calculate the ‘middle’ value of a dataset.
Office for National Statistics – UK’s largest producer of official statistics.
U.S. Census Bureau – Leading source of quality data about the nation’s people and economy.