Home » Z Score Calculation » Find the Area under Standard Normal Curve to the right of Z

Find the Area under Standard Normal Curve to the right of Z

In this article, we will discuss step by step guide on how to find the area under the standard normal curve to the right of the z score.

Area under the Standard Normal Curve to the right of z

Step to find the area to the right of z

Step 1: Find the area to the left of z.

Step 2: As the total area under the bell curve is 1.

Step 3: Subtract the area to the left from 1.

area to the right of z = 1 – area to the left of z.

Step 4: Multiply it by 100 to calculate the percentage of area.

Let’s understand to find the area under the standard normal curve to the right of z using an example.

Z-Score Tip: Read more on how to calculate z score!

How do you find the area to the right of z = 0.52

To find the area to the right of given z follow the below steps:

Step 1: Find the area to the left of z.

To find the area to the left of given z follow the below steps:

  • Choose a positive z-table as the given z-score (i.e 0.52) is positive.
  • Check the area value for the given z in the z-table.
  • Look at the first two digits(0.5) of the z-score on the left side column (y-axis) of the z-table and then the remaining number (0.02) on the x-axis on the topmost row.
The area under the standard normal curve- z table
The area under the standard normal curve- z table
  • The intersection of the two is 0.6985 (highlighted in red).
  • area to the left = 0.6985

Step 2: As the total area under the bell curve is 1

Step 3: Subtract the area to the left from 1.

area to the right of z = 1 – area to the left of z.

area under the standard normal curve to the right of z = 1 – 0.6985 = 0.3015

Step 4: Multiply it by 100 to calculate the percentage of area.

area to the right of z = 0.3015*100 = 30.15%

Area to the right of z
Area to the right of z

Result: The area to the right of z is 30.15% of the normal standard curve.

Z-Score Tip: Read more on how to Calculate Z Score in Excel!

Conclusion

I hope the above article to find the area under the standard normal curve to the right of z using step by step guide is helpful to you.

Z-Score Tip: Read more on how to find the area between two z-scores!

You can find more topics about Z-Score and how to calculate z score given the area on the ZScoreGeek home page.

Leave a Comment