Sharp EL-530V Correcting Entered Data, Calculating Statistical Quantities, Errors, σx =, sx =

Enter the data “7”	N@”		’
	@c7		7_
	k	n =	1.*
There are 13 students	@c 70 § 13		70, 13_
who scored 70 in the	k	n =	13.
test, and 5 students	50 § 5		50, 5_
who scored 50.	k	n =	18.

*The number of samples for the entered data will be dis- played.

•Entered data are kept in memory until @c or @” are pressed. Before entering new data, clear the memory contents.

•If the number of the sample values exceeds 999,999,999 “n=” will not appear.

•When inputting a formula as a sample value with frequency, parenthesize the data.

Example: ( A * B )§ frequency k

Correcting Entered Data

Correction prior to pressing k:

Delete incorrect data with N.

Correction after pressing k:

press >to confirm the latest entry and press @J to delete it.

Calculating Statistical Quantities

Score	Number of	@c			’
	Persons	30	§ 5 k	n =	5.
		40	§ 3 k	n =	8.
30	5
40	3	50	§ 10 k	n =	18.
50	10	60	§ 12 k	n =	30.
60	12	70	§ 13 k	n =	43.
70	13	80	§ 9 k	n =	52.
80	9	90	§ 7 k	n =	59.
90	7	100 § 3 k		n =	62.
100	3	@÷		65.32258065
		@£		18.52935128
		@p		18.37931358
		@n		n =	62.
		@z		Σx =	4050.
		@w		Σx2 =	285500.

•If both the resulting digits and the function name (such as Σx=) cannot be contained in the display, only the resulting value will be displayed; the function name will not be displayed.

Statistical Calculation Formulas

x =	Σx				Σx2	– nx2
	n			σx =
						n
sx =		Σx2	– nx2	Σx = x1 + x2 + ··· + xn
				Σx2 = x12 + x22 + ··· + xn2
		n – 1

(n: number of samples)

In the statistical calculation formulas, an error will occur if:

•the absolute value of the intermediate result or calculation result is equal to or greater than 1 x 10100.

•the denominator is zero.

•an attempt is made to take the square root of a negative number.

ERROR AND CALCULATION RANGES

Errors

An error will occur if an operation exceeds the calculation ranges, or if a mathematically illegal operation is attempted. If an error occurs, pressing <(or >) automatically moves the cursor back to the place in the equation where the error occurred. Edit the equation or press N to clear the equation.

Error Codes and Error Types

Syntax error (Error 1):

•An attempt was made to perform an invalid operation. Ex. 2 +- 5 =

Calculation error (Error 2):

•The absolute value of an intermediate or final calculation result equals or exceeds 10100.

•An attempt was made to divide by 0.

•The calculation ranges were exceeded while performing calcu- lations.

Depth error (Error 3):

•The available number of buffers was exceeded. (There are 8 buffers* for numeric values and 16 buffers for calculation in- structions).

*4 buffers in STAT mode.

Equation too long (Error 4):

•The equation exceeded its maximum input buffer (159 charac- ters). An equation must be shorter than 159 characters.

Calculation Ranges

•Within the ranges specified below, this calculator is accurate to ±1 of the least significant digit of the mantissa. However, a calculation error increases in con- tinuous calculations due to accumulation of each cal- culation error. (This is the same for yx, x¿ , etc. where continuous calculations are performed internally.)

Additionally, a calculation error will accumulate and become larger in the vicinity of inflection points and singular points of functions.

•Calculation range: ±10-99~ ±9.999999999⋅1099 and 0.

If the absolute value of an entry or a final or intermediate result of a calculation is less than 10–99, the value is consid- ered to be 0 in calculations and in the display.

Function		Dynamic range
sin x	DEG : x < 1010
cos x
	(tan x : x ≠ 90(2n–1))*
tan x
sin–1x	x ≤ 1
cos–1x
tan–1x	x < 10100
yx	. y > 0: –10100< xlogy < 100
	. y = 0: 0 < x < 10100		1
	. y < 0: x = n (0 < x < 1: – = 2n–1, x ≠ 0)*,
	–10100< xlog y < 100		x
	100	1
	. y > 0: –10 < – logy ≤ 100 (x ≠ 0)
		x
x¿y	. y = 0: 0 < x < 10100		1
	. y < 0: x = 2n–1 (0 < x < 1: – = n, x ≠ 0)*,
		1	x
	100		≤ 100
	–10 < – log y
		x