Question

How do you find Z-score on Ti-83 plus?

Answer 1

Hint:Z-score tells you how far a data point is from the mean point. Ti-83 plus is a graphing calculator, it has many features, functions and applications. You can calculate Z-score on Ti-83 plus by exploring its features by yourself or from its guide.

Complete step by step solution:
The amount of standard deviations that are above or below mean or average value is represented by Z-score. It can be placed on a general distribution graph; it ranges from $ - 3$ standard deviation (which will be on the left side of the curve) to $ + 3$ standard deviation (which will be on the right side of the curve).
Z-score can be easily calculated with an advanced calculator like Ti-83 plus. Ti-83 plus calculator is made to execute many functions which also consists of a function called “invNorm (” which calculates Z- score when cumulative probability is given. Below are the steps to perform the calculation of Z-score on
Ti-83 plus:
1. Press “2nd” then press “VARS” on the Ti-83
2. You will see “DISTR” which is distribution menu
3. Then choose “invNorm (” and press the “ENTER” key
4. Input the probability in decimal form and add close parentheses
5. Press “ENTER”, the resultant value is the required Z-score

Note: If $60$ is the probability, input $.6$ and the screen should look like “invNorm $(.6)$”.
You can also calculate Z-score with the following formula:
$Z = \dfrac{{x - \mu }}{\sigma },\;{\text{where}}\;Z,\;x,\;\mu \;{\text{and}}\;\sigma $ are standard or Z-score, observed value, mean of the sample and standard deviation of the sample respectively.