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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.