www.z-table.com Open in urlscan Pro
2606:4700:3035::6815:58e9  Public Scan

Submitted URL: https://z-table.com/
Effective URL: http://www.z-table.com/
Submission: On January 29 via manual from US — Scanned from DE

Form analysis 1 forms found in the DOM

<form>
  <div class="left">
    <label>Population mean:</label>
    <input id="x" value="4" type="number">
    <label>Population standard deviation:</label>
    <input id="u" value="0.5" type="number">
    <label>Value:</label>
    <input id="o" value="5.5" type="number">
    <input id="c" type="submit" value="Calculate">
  </div>
  <div class="right">
    <div class="bubble">
      <i class="fa fa-question-circle"></i>
      <span>The mean (average value) of the population to which the unstandardized value belongs.</span>
    </div>
    <div class="bubble">
      <i class="fa fa-question-circle"></i>
      <span>The standard deviation of the population to which the unstandardized value belongs.</span>
    </div>
    <div class="bubble">
      <i class="fa fa-question-circle"></i>
      <span>The unstandardized raw value for which you want to compute a Z-score.</span>
    </div>
  </div>
  <div class="clear"></div>
  <p id="z_score">Z-score:</p>
</form>

Text Content

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Z Score Table

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Z TABLE

Use this z table, also referred as z score table, standard normal distribution
table and z value chart, to find a z score. You will also find a z score
calculator right after the tables



FIND VALUES ON THE LEFT OF THE MEAN IN THIS NEGATIVE Z SCORE TABLE. TABLE
ENTRIES FOR Z REPRESENT THE AREA UNDER THE BELL CURVE TO THE LEFT OF Z. NEGATIVE
SCORES IN THE Z-TABLE CORRESPOND TO  THE VALUES WHICH ARE LESS THAN THE MEAN.






FIND VALUES ON THE RIGHT OF THE MEAN IN THIS Z-TABLE. TABLE ENTRIES FOR Z
REPRESENT THE AREA UNDER THE BELL CURVE TO THE LEFT OF Z. POSITIVE SCORES IN THE
Z-TABLE CORRESPOND TO  THE VALUES WHICH ARE GREATER THAN THE MEAN.







Z SCORE CALCULATION AND Z TABLE APPLICATION EXAMPLE



Here is an example of how a z-score applies to a real life situation and how it
can be calculated using a z-table. Imagine a group of 200 applicants who took a
math test. George was among the test takers and he got 700 points (X) out of
1000. The average score was 600 (µ) and the standard deviation was 150 (σ). Now
we would like to know how well George performed compared to his peers.

We need to standardize his score (i.e. calculate a z-score corresponding to his
actual test score) and use a z-table to determine how well he did on the test
relative to his peers. In order to derive the z-score we need to use the
following formula:



Therefore: Z score = (700-600) / 150 = 0.67

Now, in order to figure out how well George did on the test we need to determine
the percentage of his peers who go higher and lower scores. That’s where z-table
(i.e. standard normal distribution table) comes handy. If you noticed there are
two z-tables with negative and positive values. If a z-score calculation yields
a negative standardized score refer to the 1st table, when positive used the 2nd
table. For George’s example we need to use the 2nd table as his test result
corresponds to a positive z-score of 0.67.

Finding a corresponding probability is fairly easy. Find the first two digits on
the y axis (0.6 in our example). Then go to the x axis to find the second
decimal number (0.07 in this case). The number is 0.7486. Multiply this number
by 100 to get percentages. So 0.7486 x 100 = 74.86%. This means that almost 75%
of the students scored lower than George and only 25% scored higher. 75% out of
200 students is 150. George did better than 150 students.



Z-SCORE CALCULATOR


BY Z-TABLE.COM

Population mean: Population standard deviation: Value:
The mean (average value) of the population to which the unstandardized value
belongs.
The standard deviation of the population to which the unstandardized value
belongs.
The unstandardized raw value for which you want to compute a Z-score.


Z-score:


VIDEO ON HOW TO USE THESE Z TABLES




More data visualization examples and interplay of statistics and graphical
representation is covered on the data-visualization.org blog.

 * Z Table
 * How To Use Z-Score Table
 * Z Score Calculator
 * Contact Us
 * Calculate Z-score
 * Z Score Formula
 * History on Normal Distirbution
 * Z Score Table Blog
 * Other Statistical Tables
 * Z Score Chart Basics
 * Statistics Forum
 * Statistics Z Score Jokes
 * Privacy Policy
 * Useful Calculators and Converters

 * Back
 * Contact Us
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 * Back
 * Other Statistical Tables
 * T Value Table
 * Chi-Square Table
 * F Distribution Table




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 * Calculate Z-score
 * Z Score Formula
 * History on Normal Distirbution
 * Z Score Table Blog
 * Other Statistical Tables >
    * T Value Table
    * Chi-Square Table
    * F Distribution Table

 * Z Score Chart Basics
 * Statistics Forum
 * Statistics Z Score Jokes
 * Privacy Policy
 * Useful Calculators and Converters

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