Area Between Two Scores Calculator

Formula

To calculate the Area Between Two Scores (\(A_b\)):

\[ A_b = A_t - |S_2 - S_1| \]

Where:

\(A_b\) is the area between the two scores
\(A_t\) is the total area
\(S_1\) is the first score
\(S_2\) is the second score

What is the Area Between Two Scores?

The area between two scores is a measure used in statistics to determine the proportion of a distribution that lies between two given scores. This can be useful in various applications such as determining the probability of a certain range of outcomes or understanding the spread of data within a specific interval. The area between two scores is often represented as a percentage or a fraction of the total area under the distribution curve.

Example Calculation 1

Let's assume the following values:

Total Area (\(A_t\)) = 100
First Score (\(S_1\)) = 20
Second Score (\(S_2\)) = 30

Using the formula:

\[ A_b = 100 - |30 - 20| = 100 - 10 = 90 \]

The area between the two scores is 90.

Example Calculation 2

Let's assume the following values:

Total Area (\(A_t\)) = 200
First Score (\(S_1\)) = 50
Second Score (\(S_2\)) = 80

Using the formula:

\[ A_b = 200 - |80 - 50| = 200 - 30 = 170 \]

The area between the two scores is 170.