Probability and Statistics > TI 83 for Statistics > Standard Deviation TI-83

## Standard Deviation TI-83: Overview

Technically, the standard deviation is defined as the square root of the variance. But where the standard deviation comes in handy is when it is used to describe part of a distribution. **Standard deviations** give us an idea of how much data is contained within a certain area of a distribution curve. This information is especially useful when using normal distributions. You can find the standard deviation by hand (see: How to Find the Sample Variance and Standard Deviation), but that involves some lengthy calculations, especially if you have a large data set. A much faster way is to use the TI 83 calculator.

## Standard Deviation TI-83 Calculator: Steps

**Sample problem**: Find the standard deviation for the heights of the top 12 buildings in London, England. The heights, (in feet) are: 800, 720, 655, 655, 625, 600, 590, 529, 513, 502, 502, 502.

**Step 1:** Enter the above data into a list. Press the STAT button and then press ENTER. Enter the first number (800), and then press ENTER. Continue entering numbers, pressing ENTER after each entry.

** Step 2:** Press STAT.

** Step 3:** Press the right arrow button (the arrow keys are located at the top right of the keypad) to select

**Calc**.

** Step 4:** Press ENTER to highlight

**1-Var Stats**.

** Step 5:** Press ENTER again to bring up a list of stats. The standard deviation (Sx) for the above list of data is

**96.57**feet (rounded to 2 decimal places).

*That’s how to find the standard deviation ti-83!*

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