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Find the z-score for having an area 0.09

In this blog post, we will learn how to find the z-score for having an area 0.09 to its left of the standard normal curve.

To find the z-score for a given area, check if the area is left to mean or right to the mean. Based on that, we will use either a negative z-table or a positive z-table.

Find the z score for having area 0.09

Let’s find out the z-score for a given area using the below step-by-step guide.

Step 1: Symmetric property of the standard normal curve indicates 50% area lies to the left of the mean and 50% of the area lies to the right of the mean.

Step 2: Compare the given area with 0.50.

Given area = 0.09 < 0.50,indicates area is left to the mean i.e. negative z-score.

Step 3: Choose negative z-table as required z-score is negative.

Step 4: Draw the normal distribution for the given area = 0.09

Normal Distribution for area
Normal Distribution for area

Step 5: Trace the closest value to the given area=0.09 in the z-table.

Find z-score for area 0.09
Find z-score for area 0.09

Step 6: Note the corresponding row and column values from z-table

Step 7: Combine the numbers to calculate the required z-score.

Z-score = row value + column value (as per z-table)

-1.3 + 0.04

Z-score = -1.34

Result: The Z-score for the area of 0.09 is -1.34.

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

Conclusion

I hope the above article to find the z-score for a given area 0.09 is helpful to you.

You can read more about

How to find an area to the left for the given z

Find the area between the two z-scores.

How to calculate z-score in R

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

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