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?
Q2. In applied physics, students measure the time it takes for a ball to fall from a certain height. It is 3 seconds with a standard deviation of 0.5 seconds. If a student measures a fall time of 2.2 seconds, what is the Z-score for this measurement?
Q3. A company is conducting an employee compensation audit. The average salary is 50,000 with a standard deviation of 8,000. What is the Z-score of an employee with a salary of 56,000?
Q4. A doctor is measuring the height of a child to compare it with a group of children of the same age. The height of this group is 120 cm and the standard deviation is 5 cm. If the child is 130 cm tall, what is the Z-score for this measurement?
Q5. In a study of test anxiety among students, the average test anxiety score was 60 with a standard deviation of 10. If a student scores a test anxiety score of 75, what is the Z-score of this score?
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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