Enter upper and lower bounds, population mean and standard deviation to calculate the area under the normal distribution curve with our Normal Distribution calculator.
The following calculator works similar to the normalCDF function found on TI-83 and TI-84 graphing calculators.
Solution : Area (probability) = 0.8849
- Lower bound: Smallest value in the range for which you want to find the area under the curve.
- Upper bound: Largest value in the range for which you want to find the area under the curve.
- Mean: Average value of the normal distribution curve.
- Standard deviation: Measure of the spread of the normal distribution curve. It determines the width of the curve.
Once you have entered these four inputs, the normal distribution calculator will use mathematical formula to calculate the area under the curve for the specified range of values. The final value represents the probability that a random variable from the normal distribution will fall within the specified range.
See some of the examples of how the normal distribution calculator can be used.
Human Resource : Suppose you are an HR manager and you want to find the percentage of employees whose salaries fall between $60,000 and $70,000 per year. You can use the normal distribution calculator to find the area under the curve between the values 60,000 and 70,000, given the mean and standard deviation of employee salaries.
Pharmaceutical : Suppose you are a researcher studying the effects of a certain drug on blood pressure. You have collected a sample of blood pressure readings from a group of individuals, and you want to know the probability of obtaining a reading within a certain range. You can use the normal distribution calculator to find the area under the curve for the specified range of values, given the mean and standard deviation of the sample.
Portfolio Management : Suppose you are a portfolio manager and you want to calculate the probability of a stock price falling below a certain level. You can use the normal distribution calculator to find the area under the curve to the left of the specified value, given the mean and standard deviation of the stock price.