Education Technology

# Knowledge Base

## Solution 11997: The Z-Score on a TI-83 Plus Family, TI-84 Plus Family, or TI-Nspire™ Handheld in TI-84 Plus Mode.

### What is the Z-score on a TI-83 Plus family, TI-84 Plus family, or TI-Nspire™ handheld in TI-84 Plus mode?

A Z-score is a value obtained when data from a symmetric distribution is standardized. The formula for determining the Z-score is:

z= (x-m)/s

Where x is the observation, m is the mean and s is standard deviation.

A standard observation is used to determine how many standard deviations the original observation falls from the mean. Z-scores can be looked up in a table (z-table) to find the area under the standard normal curve (or probability) to the left of the z-value.

On TI-83 Plus family and TI-84 Plus family graphing calculators, the area under the standard normal curve for a z-value of .1 can be found by entering the following:

• Set your window settings, by pressing [WINDOW] and setting your values to xmin = - 5, xmax = 5, ymin = -.1 and ymax = .5.

• Press [2nd] [CATALOG] [S] and locate the ShadeNorm( command and press [ENTER].
• Press [(-)] [9] [9] [,] [.] [1] [)].

• Press [ENTER].

The probability associated with a Z-score of .1 is shown in the bottom-left corner.

Please see the TI-83 Plus family and TI-84 Plus family guidebooks for additional information.

NOTE: TI-Nspire users may refer to the TI-84 Plus family guidebook.