Calculation of percentiles, Calculation of percentiles ,18-14 – HP 50g Graphing Calculator User Manual

Page 581

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Page 18-14

X-Col, Y-Col:

these options apply only when you have more than two
columns in the matrix

ΣDAT. By default, the x column is

column 1, and the y column is column 2.

_ΣX _ ΣY…

:

summary statistics that you can choose as results of this
program by checking the appropriate field using [ CHK]
when that field is selected.

Many of these summary statistics are used to calculate statistics of two variables
(x,y) that may be related by a function y = f(x). Therefore, this program can be
thought off as a companion to program

3. Fit data..

Example 1 – For the x-y data currently in

ΣDAT, obtain all the summary statistics.

Θ To access the summary stats… option, use: ‚Ù˜˜˜@@@OK@@@
Θ Select the column numbers corresponding to the x- and y-data, i.e., X-Col:

1, and Y-Col: 2.

Θ Using the @ CHK@ key select all the options for outputs, i.e., _ΣX, _ΣY, etc.
Θ Press @@@OK@@@ to obtain the following results:

ΣX: 24.2, ΣY: 11.72, ΣX2: 148.54, ΣY2: 26.6246, ΣXY: 12.602, NΣ:8

Calculation of percentiles

Percentiles are measures that divide a data set into 100 parts. The basic
procedure to calculate the 100

⋅p-th Percentile (0 < p < 1) in a sample of size n

is as follows:

1. Order the n observations from smallest to largest.
2. Determine the product n

⋅p

A. If n

⋅p is not an integer, round it up to the next integer and find the

corresponding ordered value.

Note: There are two other applications under the STAT menu, namely,

5.

Hypth. tests..

and

6. Conf. Interval..

These two applications will be discussed

later in the chapter.

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