## hp-support-head-portlet

Actions
Loading...
HP Customer Support - Knowledge Base

Actions
Loading...

## hp-share-print-widget-portlet

Actions
Loading...
• Information
Apache Log4j Update

Please see this document here for current information regarding the Apache Log4j vulnerability.

Information
Need Windows 11 help?

Check documents and videos on compatibility, FAQs, upgrade information and available fixes. Windows 11 Support Center

• Feedback

Actions
Loading...

# HP 12c Calculator - Mean, Standard Deviation, and Standard Error for Grouped Data

## Introduction

Grouped data are presented in frequency distributions rather than entering each observation individually. Given a set of data points:
X1, X2, ...,Xn
with respective frequencies:
f1, f2, ...,fn
this procedure computes the mean, standard deviation, and standard error of the mean.

## Instructions

Follow these steps to compute the mean, standard deviation, and standard error of the mean:
1. Press f, then CLEAR [REG].
2. Key in the first value and press ENTER twice.
3. Key in the respective frequency and press STO, [+], 0, [X], then Sigma +. The display shows the number of data points entered.
4. Repeat steps 2 and 3 for each data point.
5. To calculate the mean (average) press RCL, 0, STO, 1, RCL, 6, STO, 3, g, then x-mean (the zero key).
6. Press g, then s to find the standard deviation.
7. Press RCL, 0, g, the Square Root key, then ÷ to find the standard error of the mean.

## Example

A survey of 266 one-bedroom apartment rentals reveals that 54 rent for \$190 per month, 32 rent for \$195 per month, 88 rent for \$200 per month, and 92 rent for \$206 per month. What are the average monthly rental, the standard deviation, and the standard error of the mean?
 Keystrokes (RPN mode) Display Comments f, CLEAR [REG], 190, ENTER, ENTER, 54, STO, [+], 0, [X],then Sigma + 1.00 Calculator cleared and first data point entered 195, ENTER, ENTER, 32, STO, [+], 0, [X], then Sigma + 2.00 Second data point entered 200, ENTER, ENTER, 88, STO, [+], 0, [X], then Sigma + 3.00 Third data point entered 206, ENTER, ENTER, 92, STO, [+], 0, [X], then Sigma + 4.00 Fourth data point entered RCL, 0, STO, 1, RCL, 6, STO, 3, g, then x-mean 199.44 Average monthly rent g, then s 5.97 Standard Deviation RCL, 0, g, square root, then ÷ 0.37 Standard Error of the mean

Actions
Loading...

Actions
Loading...

## hp-country-locator-portlet

Actions
Loading...
Country/Region: United States

Actions
Loading...