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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

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