How to find standard deviation on ti-89

A standard deviation is a measure of how much the values in a data set vary from the mean. It is calculated as the square root of the variance, which is the average of the squared differences between each value and the mean. A low standard deviation means that the data values are close to the mean, while a high standard deviation means that the data values are spread out.

Finding standard deviation on a ti-89 calculator is easy and can be done in two ways: using the stdDev( function or using the Stats/List Editor application. In this article, we will explain both methods with examples.

Using the stdDev( function

The stdDev( function is a built-in function on the ti-89 calculator that can find the standard deviation of a list of values or a column of a matrix. For example, suppose we have the following list of values: 3, 5, 7, 9, 11.

To find the standard deviation using the stdDev( function, follow these steps:

• Press the ON button to turn on the calculator.
• Press the MODE button and make sure that EXACT is selected for the exact/approximate mode.
• Press the HOME button to go to the home screen.
• Press the 2ND button and then press the 0 button to access the catalog of functions.
• Scroll down until you see the stdDev( function and press ENTER to select it.
• Enter the list of values or the name of the matrix column separated by commas. For our example, we would enter 3,5,7,9,11.
• Press the ) button to close the parentheses and press ENTER to calculate the standard deviation.

The calculator will display the standard deviation as 3.16227766. This means that the standard deviation of the values is approximately 3.16.

Using the Stats/List Editor application

The Stats/List Editor application is a custom application that can be downloaded and installed on the ti-89 calculator. It can perform various statistical operations, such as finding the mean, median, mode, standard deviation, and more. For example, suppose we have the following list of values: 4, 6, 8, 10, 12.

To find the standard deviation using the Stats/List Editor application, follow these steps:

• Download the application from this website¹ and transfer it to your calculator using the TI Connect software.
• Press the ON button to turn on the calculator.
• Press the APPS button and scroll down to the option Stats/List Editor and press ENTER to select it.
• Press the ENTER button again to run the application.
• Press the F1 button and then press the 1 button to create a new list.
• Enter the name of the list and press ENTER. For our example, we would enter L1.
• Enter the data values in the list, pressing ENTER after each value. For our example, we would enter 4, 6, 8, 10, and 12.
• Press the F4 button and then press the 1 button to access the one-variable statistics menu.
• Enter the name of the list that you want to analyze. For our example, we would enter L1.
• Press the ENTER button to calculate the statistics.
• Scroll down until you see the Sx value, which is the standard deviation of the sample.

The calculator will display the standard deviation as 3.16227766. This means that the standard deviation of the values is approximately 3.16.

Summary

In this article, we learned how to find standard deviation on a ti-89 calculator using two methods: using the stdDev( function and using the Stats/List Editor application. Standard deviation is useful for measuring the variability and dispersion of a data set. We hope this article was helpful and informative. For more information on standard deviation and other statistical concepts, you can check out this website.