Example of Z Score
Example 1: If the Z-score is 1.5. Find the probability that a randomly selected data point falls below this Z-score.
Solution:
To determine the probability that a randomly selected data point falls below the Z score, we can do the following.
Using a Z-score table or calculator, look for a Z-score of 1.5 and get a corresponding probability, of about 0.9332. This means there is a 93.32% probability that the data point falls below a Z-score of 1.5 in the standard normal distribution.
Example 2: Find the probability that the Z score is greater than -1.2
Solution:
To determine the probability that the Z-score is greater than -1.2.
Using the Z-score table, find the cumulative probability associated with -1.2, which would be 0.1151. Subtract this value from 1 to find the probability of greater than -1.2:
1 − 0.1151 = 0.8849
Thus, the probability that the Z-score is greater than -1.2 is approximately 0.8849, or 88.49%.
Z-Score Table
Z Score Table is the table for determining the probability of a standard normal variable falling below or above a certain value. Z-score table, also known as a standard normal table or z-score Table, is a mathematical table that provides the area under the curve to the left of a z-score in a standard normal distribution. The standard normal distribution is a bell-shaped curve with a mean of 0 and a standard deviation of 1.
The z-score table is used to find the probability that a random variable from a standard normal distribution will fall below a certain value. In this article, we will learn about the Z Score Table in sufficient detail and also learn how to use the Z Score Table in numerical problems.
Table of Content
- Z-Score Formula
- What is a Z-Score Table?
- Z-Score Table
- How to Use a Z-Score Table?
- How to Interpret z-Score?
- Applications of Z Score
- Example of Z Score
- Practice Questions on Z Score
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