Standard Deviation and Variance on a Graphing Calulator

only the in truth harebrained ( or those in an basic statistics course ) would calculate the standard diversion of a dataset by handwriting ! So what is left for the rest of us level headed folks ? Statisticians typically use software like R or SAS, but in a classroom there international relations and security network ’ triiodothyronine always access to a full personal computer. rather, we can use a graph calculator to perform the claim lapp calculations. Note: You can scroll down for a video walkthrough of these steps.

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Standard Deviation on the TI83 or TI84

For this case, we will use a simple made-up data set : 5, 1, 6, 8, 5, 1, 2. For now, we won ’ deoxythymidine monophosphate concern ourselves with whether this is sample or population data. This will come up later in the steps .

Step 1: Enter your data into the calculator.

This will be the first step for any calculations on data using your calculator. To get to the menu to enter data, press [ STAT ] and then blue-ribbon 1 : edit.

enter data onto TI84
now, we can type in each number into the list L1. After each number, hit the [ ENTER ] key to go to the next agate line. The entire dataset should go into L1. If for some reason, you don ’ thymine watch L1, see : Getting L1 on Your Calculator .
data in L1 on TI84

Step 2: Calculate 1-Variable Statistics

once the data is entered, hit [ STAT ] and then go to the CALC menu ( at the top of the screen door ). ultimately, choice 1-var-stats and then press [ ENTER ] doubly .
TI84 1-var-stats
TI84 1-var-stats2
TI84 1-var stats calculated

Step 3: Select the correct standard deviation

now we have to be identical careful. There are two standard deviations listed on the calculator. The symbol Sx stands for sample standard deviation and the symbol σ stands for population criterion deviation. If we assume this was sample data, then our final answer would be sulfur =2.71. Pay attention to what kind of data you are working with and make sure you select the decline one ! In some cases, you are working with population data and will select σ .

What about the variance?

The variation does not come out on this output signal, however it can always be found using one important property :
\ ( \text { Variance } = \text { ( Standard Deviation ) } ^2\ )
so in this example, the discrepancy is :

\ ( s^2 = 2.71^2 = 7.34\ )
This would work even if it was population data, but the symbol would be \ ( \sigma^2\ ) .
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Video walkthrough

The surveil video will walk your through all of these steps. Make certain you have your calculator ready to follow along !

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