Statistics

Including: Single Var, Fit Data and Summary Statistics.
Syntaxes and operations are the same for HP48 and HP49.

Keyboard access HP48: [STAT]

HP49: [STAT]

Keyboard access:
[STAT]||Single-Var||

Example:

To DAT: [[1 5][3 3] [ 7 2] [9 6] [3 8] [2 6]] TYPE: Sample MEAN: 4.1666666667... STD DEV: 3.125666... VARIANCE: 9.766666... TOTAL: 25 MAXIMUM: 9 MINIMUM: 1 TYPE: Population MEAN: 4.1666666667... STD DEV: 2.8528737... VARIANCE: 8.138888... TOTAL: 25 MAXIMUM: 9 MINIMUM: 1

2) Summary Stats

---

Keyboard access:
[STAT]||Summary stats||

Example:

To DAT: [[1 5][3 3] [ 7 2] [9 6] [3 8] [2 6]]   X:25 Y:30 X2:153 Y2:134: XY:118 N:6

3) Fit Data

---

Keyboard access:
[STAT]||Fit data||

Example:

To DAT: [[1 5][3 3] [ 7 2] [9 6] [3 8] [2 6]]   Logarithm Fit '5.664034+-56646111*LN(X)' correlation:-.208890217097 covariance:-.36974928012 Exponential Fit '5.40143100114*EXP(-4.223223061E-2)' correlation:-.255960001612 covariance:-.412468119051   Linear Fit '5.59726962457+-.143344709898*X' correlation:-.204472183243 covariance:-1.4 Power Fit '5.63213404451*X^-.185792485677' correlation:-.291106339392 covariance:-.12127335139   Best Fit '5.63213404451*X^-.185792485677' correlation:-.291106339392 covariance:-.12127335139

Best Fit is the Fit with correlation, in absolute value, closest to 1.

4) PRED

---

You can know the value of X for a given value of Y
or vice-versa using PRED into FIT DATA function.
Choose the FIT type and press PRED in menu, fill out the fields for
X or Y and press PRED and HP48 give you the result.

To DAT: [[1 5][3 3] [ 7 2] [9 6] [3 8] [2 6]]
we have:

X: 25.0952380951      Y:2

X: 5.5      Y:4.80887372013


Where the red numbers are the ones we give to HP48 predict the value
and the bold black numbers the result.
Press EDIT, in menu to see the number in full standard format.

Standard Deviation and Mean for Group Data can easily be solved with the help of a little program.

These are the formulas for mean and standard deviation for group data.

Standard deviation of a group data, for a sample	Mean for a group data
Where xi is the sample and fi the frequencies

The program

You need runs the program an type a list of numbers with a space between the elements of the list. For example { 2 3 4 5 6 7 For the group of data: Xi: 2 3 4 5 6 7 Fi: 12 13 14 15 16 17 it should returns Mean: 4.70114942529 Std dev: 1.6959379633