Averages Calculator

How to Use the Averages Calculator

This guide will take you through the process of using the Averages Calculator to compute various types of averages and statistical values. Please follow the steps below carefully to ensure accurate results.

Step 1: Input Your Values

Start by entering three numerical values into the designated input fields. These values will be used to calculate the averages and other statistical measures. The fields are labeled as “Value 1,” “Value 2,” and “Value 3”.

• Value 1: Enter your first number into the “Value 1” input field. This should be a numeric value within the range of -999,999,999 to 999,999,999. You are allowed decimal points, and the input will be accepted up to two decimal places.
• Value 2: Enter your second number into the “Value 2” field. This value must also adhere to the same numeric range and decimal precision as Value 1.
• Value 3: Lastly, input your third number into the “Value 3” field, ensuring the same requirements are met.

Step 2: Select the Type of Average

Once you have entered all three values, choose the type of average you wish to calculate from the dropdown menu labeled “Type of Average”. Options available include:

• Arithmetic Mean: The simple average of the three numbers.
• Geometric Mean: The nth root of the product of the numbers where n is the total number of values.
• Harmonic Mean: The reciprocal of the arithmetic mean of the reciprocals of the numbers.

This selection is required for the calculator to function, so be sure to choose one before proceeding.

Step 3: Calculate and View Results

After setting up your inputs and selecting the type of average, trigger the calculation (button press or form submission depending on implementation) to see the results. The calculator will provide the following statistical measures:

• Arithmetic Mean: Calculated using the formula (Value 1 + Value 2 + Value 3) / 3.
• Geometric Mean: Determined via the formula pow(abs(Value 1 * Value 2 * Value 3), 1/3), ensuring that the absolute value is used to avoid issues with negative inputs.
• Harmonic Mean: Given by 3 / (1/Value 1 + 1/Value 2 + 1/Value 3).
• Median: The middle value of the sorted list [Value 1, Value 2, Value 3], displayed by selecting the second element of the sorted array.
• Range: The difference between the largest and smallest numbers in your input set, calculated as max([Value 1, Value 2, Value 3]) – min([Value 1, Value 2, Value 3]).

Each of these results will be displayed with two decimal places for precision.

Conclusion

Using this calculator allows you to effortlessly compute different types of averages and other statistical metrics. Make sure all inputs are valid, and remember to select the type of average calculation you need. Enjoy analyzing your numbers!