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Error And Calculation Ranges - Sharp EL-530VB Operation Manual

Scientific calculator

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Enter the data "7" N@"
@c 7
k
There are 13 students @c 70 § 13
who scored 70 in the k
50 § 5
test, and 5 students
k
who scored 50.
* 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
@c
Score Number of
Persons
30 § 5 k
40 § 3 k
30
5
50 § 10 k
40
3
60 § 12 k
50
10
70 § 13 k
60
12
80 § 9 k
70
13
90 § 7 k
80
9
100 § 3 k
90
7
100
3
@p
@n
@z
@w
• If both the resulting digits and the function name (such as
Σ x=) 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 n
Σx
2
– nx
2
sx =
n – 1
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 10
• the denominator is zero.
• an attempt is made to take the square root of a negative
number.
n =
n =
n =
n =
n =
n =
n =
n =
n =
n =
n =
65.32258065
18.52935128
18.37931358
n =
Σ x =
Σ x
2
=
Σx
2
– nx
2
σx =
n
Σx = x
+ x
+ ··· + x
1
2
n
Σx
2
2
2
2
= x
+ x
+ ··· + x
n
1
2
( n : number of samples)
100
.

ERROR AND CALCULATION RANGES

'
7_
Errors
*
1.
An error will occur if an operation exceeds the calculation
ranges, or if a mathematically illegal operation is attempted. If
70, 13_
an error occurs, pressing < (or >) automatically moves
13.
the cursor back to the place in the equation where the error
50, 5_
occurred. Edit the equation or press N to clear the
18.
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 10
• 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).
Equation too long (Error 4):
• The equation exceeded its maximum input buffer (159 charac-
ters). An equation must be shorter than 159 characters.
'
5.
Calculation Ranges
8.
• Within the ranges specified below, this calculator is
18.
accurate to ±1 of the least significant digit of the
30.
mantissa. However, a calculation error increases in con-
tinuous calculations due to accumulation of each cal-
43.
culation error. (This is the same for y
52.
continuous calculations are performed internally.)
59.
Additionally, a calculation error will accumulate and
62.
become larger in the vicinity of inflection points and
singular points of functions.
• Calculation range: ±10
62.
If the absolute value of an entry or a final or intermediate
4050.
result of a calculation is less than 10
ered to be 0 in calculations and in the display.
285500.
Function
sin x
cos x
tan x
sin
–1
x
cos
–1
x
–1
tan
x
x
y
x
¿y
100
.
* 4 buffers in STAT mode.
-99
~ ±9.999999999×10
–99
Dynamic range
10
DEG : |x| < 10
(tan x : |x| ≠ 90(2n–1))*
|x| ≤ 1
100
|x| < 10
. y > 0: –10
100
< xlogy < 100
100
. y = 0: 0 < x < 10
1
. y < 0: x = n (0 < |x| < 1: – = 2n–1, x ≠ 0)*,
x
–10
100
< xlog |y| < 100
1
. y > 0: –10
< – logy ≤ 100 (x ≠ 0)
100
x
. y = 0: 0 < x < 10
100
. y < 0: x = 2n–1 (0 < |x| < 1: – = n, x ≠ 0)*,
1
< – log |y| ≤ 100
100
–10
x
x
x
¿ ¿ ¿ ¿ ¿ y, etc. where
,
99
and 0.
, the value is consid-
1
x

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