The area between two negative scores can be found by finding the area between two z-score and subtracting the small area from the larger area.
The Z-Score table represents the area under the normal curve for a normal distribution.
In this article, we will discuss how to find the area between two negative z scores on one side of the mean with an example.
The area between two negative Z Scores
To find the area between two negative z-scores, let’s understand with an example.
Consider, that you have z scores of -0.45 and -0.95 and you want to find the area between these two negative z scores.
These z-scores are negative hence we will use a negative z-score table chart.
Follow the below steps to find the area between two negative z scores
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Step 1: Two Z-Score values are -0.45 and -0.95
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Step 2: Use the negative z score table to find the area for each z score.
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Step 3: Find the area for -0.45
Use the negative z-score table to find the area. Look for -0.4 in the left column and 0.05 in the row, the intersection between these two is 0.3264.
- Step 4: Find the area for -0.95
Use the negative z score table to find the area. Look for -0.9 in the left column and 0.05 in the row, the intersection between these two is 0.1711.
- Step 5: Subtract the smaller area from the larger area
In steps 3 and step 4, we find the areas for two negative z-scores as 0.3264 and 0.1711
To find the area between two negative z scores, subtract the smaller area from the larger area as given below
= 0.3264 – 0.1711
= 0.1553
The resultant 0.1553 is the area between the two negative z scores.
Conclusion
I hope the above article on how to find the area between two negative z scores on one side of the mean is helpful to you.
