Find the Area between two z scores?
In this article, we will discuss step by step guide on how to find the area between two z scores on both sides of the mean.
Find the area between two z scores
Step to find the area between two z scores:

Step 1: Find the area for the two zscores using the zscore table.

Step 2: Subtract the smaller area from the greater area.
the area between the two z = larger area – smaller area (calculated)
 Step 3: The resultant is the required area between the two zscores.
Let’s understand to find the area between two zscores on both sides of the mean using an example.
ZScore Tip: How to calculate the z score using Zscore Calculator!
How to find the area between 0.48 and 1.56
To find the area between two zscores, follow the below steps:
Step 1: Find the area left to the z = 0.48

Choose a negative ztable as the given zscore (i.e 0.48) is negative.

Check the area value for the given z in the ztable.

Look at the first two digits (0.4) of the zscore on the left side column (yaxis) of the ztable and then the remaining number (0.08) on the xaxis on the top row.
 The intersection of the two is 0.3156 (highlighted in red).
area to the left of 0.48 is 0.3156
Step 2: Find the area left to the z = 1.56

Choose a positive ztable as the given zscore (i.e 1.56) is positive.

Check the area value for the given z in the ztable.

Look at the first two digits (1.5) of the zscore on the left side column (yaxis) of the ztable and then the remaining number (0.06) on the xaxis on the topmost row.
 The intersection of the two is 0.9406 (highlighted in red).
area to the left of 1.56 is 0.9406
Step 3: Subtract the smaller area from the greater area
The area between the two z scores = larger area – smaller area (calculated)
The area between two z = area to the left of 1.56 – area to the left of 0.48
Area between two z scores = 0.9406 – 0.3156 = 0.6250
Step 4: The resultant is the required area between the two zscores.
Area between 0.48 and 1.56 = 0.6250
ZScore Tip: Do you know, how to Calculate Z Score in Excel!
Conclusion
I hope the above article to find the area between two z scores on both sides of the mean using step by step guide is helpful to you.
In the above example, we calculate the area to the left for the given z and later find the area between the two zscores.
You can also find the area between two negative zscores by finding the areas and subtracting the smaller area from the larger area.
You can find more topics about ZScore and how to calculate z score given the area on the ZscoreGeek home page.