Applications of Z Score

Some common application of z score are:

  • Z-scores are widely used in a variety of fields, including statistics.
  • Z-scores are useful for risk assessment, quality assurance, and outlier discovery since they normalize and compare data. Based on financial statistics, Z-scores, such as the Altman Z-score, are used in finance to forecast a company’s likelihood of bankruptcy. Children’s growth is evaluated in the medical field by comparing measures to reference charts.
  • Z-scores are a useful tool for epidemiologists to examine public health trends and health statistics. Z-scores are used in sports to assess an athlete’s performance in comparison to their peers.
  • Z-scores also play a role in college admissions, allowing scores on standardized tests to be compared. Z-scores are essential for data analysis, confidence interval calculations, and hypothesis testing.
  • Z-scores are also essential for statistical process control, which finds differences in both manufacturing and customer service activities.
  • Z-scores are a useful tool since they enable standard comparisons and support decision-making across a variety of disciplines.

Read More,

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

Similar Reads

Z-Score Formula

Z= X- μ/σ Where, Z is the Z-score. X is the value to standardize. μ is the mean of the distribution. σ is the standard deviation, which measures the spread of the data....

What is a Z-Score Table?

A chart or database containing pre-calculated values assigned to particular Z-scores is known as a Z-score table. Finding the probability that a random variable from a typical normal distribution will go below or above a specific Z-score is made easier....

Z-Score Table

The z-score table is divided into two sections: negative z-scores and positive z-scores. The negative z-scores are below the mean, while the positive z-scores are above the mean. The rows and columns of the table define the z-score, and the table cells represent the area. For example, the z-score 1.50 corresponds to the area 0.9332, which is the probability that a random variable from a standard normal distribution will fall below 1.50....

How to Use a Z-Score Table?

To use the Z Score Table, use the following steps:...

How to Interpret z-Score?

We can interpret z-score table as:...

Applications of Z Score

Some common application of z score are:...

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....

Practice Questions on Z Score

Q1. A class of 100 students took a math test. The mean score is 75 with a standard deviation of 10. What is the Z-score of a student who scored 85 on the test?...

Z-Score Table – FAQs

What is a Z-Score?...

Contact Us