HP scientific calculator Owner's Manual

General Operations Power Supply On or Off To turn the calculator on, p ress [ON/C]. To turn the calculator off, p ress [2ndF] [OFF]. Auto power-off function The calculator automatically turns off if it has not been used for approximately 9 m inutes. Power can be restor ed by pressing the [ON/C] key again. Mem ory contents and the current m ode setting (STAT, DEG, CPLX, B ase-n,etc) are reta ined when you turn off the power and when the ca lculator autom atically turns off. Battery replacem ent The calculator is powered by two alkaline butt on batteries (GP76A o r LR44). If the display becom es dim and difficult to read, the batteries should be replaced as soo n as possible. To replace the batter ies: 1. Slide the battery cover off a nd remove the old batteries. 2. Insert new batteries, w ith positive polarity fac ing outward. 3. Replace the battery cover and press [ON/C] to turn on the power. The keybo ard Most of the keys can perform two functions. 2nd function ― ― ― ― ― ― sin –1 1st function ― ― ― sin 1st functions These are functions that are executed when you press a key without first pressing [ 2ndF ]. The function perform ed is indicated by the label on the key. 2nd func tions These are functions that are executed when you press a key after first pressing [ 2ndF ]. The funct ion perform ed is indicated by the label above the key. When you press [ 2ndF ], the 2ndF indicator appears in the display to indicate that you wil l be selecting the second f unction of the next key you press. If you press [ 2ndF ] by mistake, sim ply press [ 2ndF ] again to remove the 2n dF indi cato r. Note: [ A ], [ B ], [ C ], [ D ], [ E ], [ F ] are 1st f unctions in HEX m ode. Display S ymbols The following symbols, show n on the display, indicate the st atus of the calculator. DEG or RAD or GRAD : degrees, radians or g rads angular uni t M A value is in m emo ry CPLX Complex number mode E Overflow or error STAT Statistical mode – Minus 2ndF [2ndF] key pressed ( ) Parentheses c alculation CP Precision capability BIN Binary m ode CPK Process capability OCT Octal mode σ Devi ation HEX Hexadecim al mode USL Setting upper limit ED Edit mode LSL Setting lower limit HYP Hyperbolic mode Display Formats The calculator can disp lay numbers in four form ats: floating point, fixe d po int, sc ientif ic, an d en gine erin g. Floating poin t format The floating point form at di splays num bers in decimal form, using up to 10 digits. Any trailing zeros a re truncated. If the result of a ca lculation is too large to b e represented by 1 0 digits, the display automatically switches to sc ientific form at. If the result of a later calculation is sm all enough to be disp layed in less than 10 dig its, the calculator returns t o floating point form at. To set the display to floating po int display form at: 1. Press [ 2ndF ] [ FIX ] [ • ] DEG 0. Fixed point form at The fixed point, scient ific, and engineering f ormats use a fixed number of decimal places to display numbers. If m ore than the specified number of dec imal places is keyed, t he entry will be rou nded to the correct num ber of decimal places. Ex. 1: Fix the display at 2 decimal places, then key in 3.25 6 1. Press [ 2ndF ] [ FIX ] 2 DEG 0 . 0 0 2. Key in 3.256 [ ENTER ] DEG 3 . 2 6 If fewer than the set num ber of decimal places is keyed, the entry will be padded with tra iling zeros. Ex. 2: Fix the display at 4 decimal places, then key in 4.23 1. Press [ 2ndF ] [ FIX ] 4 DEG 0.0000 2. Key in 4.23 [ ENTER ] DEG 4.2300 Scientific form at In scientific format, the num ber 891500 is shown as 8.915 × 10 05 , where 8.915 is the m anti ssa and 5 is the expo nent of 10. Ex. 3: To display 7132 × 125 in scientific format: 1. Key in 7132 [ × ] 125 [ ENTER ] DEG 891500. 2. Press [ F ← → E ] DEG 8.915 05 You can co nvert an entr y to scientific notation by pr essing [EXP] aft er entering the mantissa. Ex. 4: Key the num ber 4.82296 × 10 5 1. Key in 4.82296 [ EXP ] 5 DEG 4.82296 05 Engine ering for mat Engineering form at is similar to scient ific format, except that the mantissa can have up to three d igits to the left of the decimal and the exponent is always a m ultiple of three. This is useful if you have to convert units that are based on multiples of 10 3 . Ex. 5: Convert 15V to 150 00mV (V = Volts) 1. Key in 15 DEG 15. 2. Press [ ENG ] twice. DEG 15000. – 03 Ex. 6: Convert 15V to 0.0 15KV (V = Volts) 1. Key in 15 DEG 15. 2. Press [ 2ndF ] [ ← ] [ 2ndF ] [ ← ] DEG 0.015 03 Order of Operatio ns Each calculation is perform ed i n the follow ing order of pr ecedence: 1. Operations in parenthes es. 2. Functions that require press ing the function k ey before entering a value, for example, [ DATA ] in statistics mode, and [ EXP ]. 3. Functions that require va lues to be entered be fore pressing the function key, for exam ple, cos, sin, tan, cos –1 , sin –1 , tan –1 , log, ln, x 2 , x –1 , √ , π , 3 √ , x!, %, RND, ENG, , , and the unit conversion functions. 4. Fractions. 5. /– 6. x y , X √ 7. nPr, nCr 8. ×, ÷ 9. , – Correctio ns If you have made a m istake when entering a num ber and you have not yet pressed an arithm etic operator key, just press [ CE ] to clear the last entry. You can then input the desire d number again. Alternatively,you can de lete digits one at a tim e by pressing the backspace key: [ 00 → 0 ]. Ex. 7: Change 12385 to 789 1. Key in 12385 2. Press [ CE ] 789 DEG 789. Ex. 8: Change 12385 to 123 1. Key in 12385 2. Press [ 00 → 0 ] twice. DEG 123. In a series of calculations, you c an correct errors in intermediate results by pressing [ON/C]. Th is clears the calc ulation without clearing mem or y. If you press the wrong ar ithmetic operation key, j ust press [ CE ] and then the correct ar ithmetic key. Exchange key Pressing [ 2ndF ] [ X ← → Y ] changes the currently disp layed value to the previously displayed value. 123 [ ] 456 [ ENTER ] DEG 579.00 [ 2ndF ] [ X ← → Y ] DEG 456.00 123 456 = ? [ 2ndF ] [ X ← → Y ] DEG 579.00 Accura cy and C apacity Accuracy: ±1 in the 10t h digit. Capacity: In gene ral, calculations can be d isplayed as a mantissa of up to 10 digits, a 10-d igit mantissa together w ith a 2-digit ex ponent up to 10 ±99 , or as an integer betw een –9999999999 and 9 999999999. Numbers used as input to a particular funct ion must be within the allowable range for that f unction (as set out in the following ta ble): Functions Allowable input range sin x, cos x, tan x Deg: x < 4.5 × 10 10 deg Rad: x < 2.5 × 10 8 π rad Grad: x < 5 × 10 10 grad Also, for tan x: Deg: x ≠ 90 (2n 1 ) Rad: x ≠ 2 π (2n 1) Grad: x ≠ 100 (2n 1) where n is a n int ege r . sin –1 x, cos –1 x x ≦ 1 tan –1 x x < 1 × 10 100 sinh x, cosh x x ≦ 230.2585092 tanh x x < 1 × 10 100 sinh –1 x x < 5 × 10 99 cosh –1 x 1 ≦ x < 5 × 10 99 tanh –1 x x < 1 log x, ln x 1 × 10 –99 ≦ x < 1 x 10 100 10 x –1 × 10 100 ＜ x ＜ 100 e x –1 × 10 100 ＜ x ≦ 230.2585092 x 0 ≦ x < 1 × 10 100 x 2 x < 1 × 10 50 x –1 │x │＜ 1 × 10 100 , X ≠ 0 3 x x < 1 × 10 100 X ! 0 ≦ x ≦ 69, where x is an integer. R → P 2 2 y x ＜ 1 × 10 100 P → R 0 ≦ r ＜ 1 × 10 100 Deg ：│θ│＜ 4.5 × 10 10 deg Rad ：│θ│＜ 2.5 × 10 8 π rad Grad ：│θ│＜ 5 × 10 10 grad Also, for tan x: Deg ：│θ│≠ 90 (2n 1) Rad ：│θ│≠ 2 π (2n 1) Grad ：│θ│≠ 100 (2n 1) where n is an inte ger . │ DD │ , MM, SS.SS ＜ 1 × 10 100 , 0 ≦ MM, S S.SS x < 1 × 10 100 x y x > 0 : –1 × 10 100 < y log x < 100 x = 0 : y > 0 x < 0 : y = n, 1/(2n 1) where n is an inte ger but –1 x 10 100 < y 1 log  x 100 x Y y > 0 : x ≠ 0, –1 x 10 100 < x 1 log y < 100 y = 0 : x > 0 y < 0 : x =2n 1, l/n where n is an integer other th an 0 but –1 x 10 100 < x 1 log  y  100 a b /c Input ： Th e integer , numerator, denom i nator and fraction symbols m ust in total be no more than 10 dig its. Result ： Displayed as a fract ion when the integer, num erator and denominator are each less than 1 × 10 10 . nPr, nCr 0 ≦ r≦ n, n≦ 9999999999; n , r are integers. ST A T  x  < 1 × 10 50 , Σ x  < 1 × 10 100 0 ≦│Σ x 2 │＜ 1 × 10 100 ; n, r are integer x ： n≠ 0, S： n＞ 1,σ： n＞ 0 Range = 1 ~ r , 1 ≦ n≦ r, 8 0 ≦ r≦ 20400 → DEC 0 ≦ X ≦ 9999999999 (for zero or positive) –9999999999 ≦ X ≦ –1 (for negative) → BIN 0 ≦ X ≦ 01111111 11 (for zero or posit ive ) 1000000000 ≦ X ≦ 1111111111 (for negative) → OCT 0 ≦ X ≦ 3777777777 (f or zero or pos itive) 4000000000 ≦ X ≦ 7777777777 (for negative) → HEX 0 ≦ X ≦ 2540B E3FF (for zero or pos itive) FDABF41C01 ≦ X ≦ FFFFFFFFF F (for negative) Overflow and Error Cond itions The symbol E appears w hen any of the following cond itions occur. Press [ ON/C ] to rem ove the overflow or error indicator. • When you attem pt to perform a function ca lculation with a num ber outside the allowable input range. • When you attem pt to divide a number by 0. • When you have pressed the [ ( ] key m ore than 15 times in a single expression. • When any result (whether intermediate or f inal) or the accumulated total in m emory is outside ±9.99 9999999 × 10 99 • When there are m ore than six pending ope rations. If the calculator becom es l ocked and pressing keys has no effect, press [ M ] and [ ENG ] at the s ame tim e. This unlocks the calculator and returns all sett ings to their default values. Basic Calculations The following exam ples of basic calculations assum e that your calculator is in dec imal base and with floatin g point display. Mixed Arithmet ic Calculatio ns 1 2 × 3 = ? 1 [ ] 2 [ × ] 3 [ ENTER ] DEG 7. –3.5 8 ÷ 2 = ? 3.5 [ /– ] [ ] 8 [ ÷ ] 2 [ ENTER ] DEG 0.5 Parenthese s Calcul ations Operations inside parenth eses are always executed f irst. You can specify up to 15 levels of par entheses in a single calc ulation. When you enter the first parenthes is, the ( ) indicator appears on the d isplay and remains until each op ening parenthes is has a corresponding closing parenthesis. ( 5–2 × 1.5 ) × 3 0.8 × (– 4 ) = ? [ ( ] 5 [ – ] 2 [ × ] 1.5 [ ) ] [ × ] 3 [ ] 0.8 [ × ] 4 [ /– ] [ ENTER ] DEG 2.8 2 × ( 7 6 × ( 5 4 )) = ? 2 [ × ] [ ( ] 7 [ ] 6 [ × ] [ ( ] 5 [ ] 4 [ ENTER ] DEG 122. Note: It is not necessary to p ress [ ) ] before [ ENTER ]. Repeatin g a Calculati on You can repeat the last num ber entered, or the last operation executed, by pressing [ ENTER ]. Repeating the last n umber 3 [ × ] [ ENTER ] DEG 9. [ ENTER ] DEG 27. 3 × 3 = ? 3 × 3 × 3 = ? 3 × 3 × 3 × 3 = ? [ ENTER ] DEG 81. Repeating the last arithmetic operation 321 [ ] 357 [ ENTER ] DEG 678. 321 357 = ? 654 357 = ? 654 [ ENTER ] DEG 1011. 579 [ – ] 159 [ ENTER ] DEG 420. 579 – 159 = ? 456 – 159 = ? 456 [ ENTER ] DEG 297. 3 [ × ] 6 [ × ] 45 [ ENTER ] DEG 810. 23 [ ENTER ] DEG 414. 18 × 45 = ? 18 × 23 = ? 18 × (0.5x10 2 ) = ? 0.5 [ EXP ] 2 [ ENTER ] DEG 900. 96 [ ÷ ] 8 [ ENTER ] DEG 12. 75 [ ENTER ] DEG 9.375 96 ÷ 8 = ? 75 ÷ 8 = ? (1.2x10 2 ) ÷ 8 = ? 1.2 [ EXP ] 2 [ ENTER ] DEG 15. Percenta ge Calc ulation s 120 [ × ] 30 [ 2ndF ] [ % ] [ ENTER ] DEG 36. 30% of 120 = ? 70% of 120 = ? 70 [ 2ndF ] [ % ] [ ENTER ] DEG 84. 88 is 55% of what number? 88 [ ÷ ] 55 [ 2ndF ] [ % ] [ ENTER ] DEG 160. 30% mark up of 120 = ? 120 [ ] 30 [ 2ndF ] [ % ] [ ENTER ] DEG 156. 30% discount of 120 = ? 120 [ – ] 30 [ 2ndF ] [ % ] [ ENTER ] DEG 84. Memory Calculati ons • The M indicator appears w hen a number is s tored in mem ory. • Recalling from m emory does not delete the contents of m e mory. • The memory is not availab le when you are in statistics mode. • To copy the displayed num ber to mem ory, press [ X → M ]. • To clear the mem ory, press [ 0 ] [ X → M ], or [ C E ] [ X → M ], in that order. [ CE ] [ X → M ] DEG 0. 3 [ × ] 5 [ M ] M DEG 15. 56 [ ÷ ] 7 [ M ] M DEG 8. 74 [ – ] 8 [ × ] 7 [ M ] M DEG 18. [ MR ] M DEG 41. 3 × 5 56 ÷ 7 74 – 8 × 7 Total = ? 0 [ X → M ] DEG 0. Common M ath Cal culatio ns The following exam ple calculations assume that your d isplay is fixed at 2 decimal places. Reciprocal , Factor ial 25 . 1 1 = ? 1.25 [ 2ndF ] [ x –1 ] [ ENTER ] DEG 0.80 5! = ? 5 [ 2ndF ] [ x! ] [ ENTER ] DEG 120.00 Square, Square Root, Cube Root, Power , Other Roots 2 2 3 4 = ? 2 [ x 2 ] [ ] 3 [ x y ] 4 [ ENTER ] DEG 85.00 5 × 3 27 34 = ? 5 [ × ] 27 [ 2ndF ] [ 3 √ ] [ ] 34 [ √ ] [ ENTER ] DEG 20.83 9 72 = ? 72 [ 2ndF ] [ X √ ] 9 [ ENTER ] DEG 1.61 Logarith ms and Antilogarithms ln7 log100 = ? 7 [ ln ] [ ] 100 [ log ] [ ENTER ] DEG 3.95 10 2 = ? 2 [ 2ndF ] [ 10 x ] [ ENTER ] DEG 100.00 e 5 – e –2 = ? 5 [ 2ndF ] [ e x ] [ – ] 2 [ /–] [ 2ndF ] [ e x ] [ ENTER ] DEG 148.28 Fraction cal culations Fractions are displayed as follows: 5 」 12 = 12 5 56 ∪ 5 」 12 = 56 12 5 Note : The display is truncated if the integer, num erator, denominator and fraction symbols toget her are more than 1 0 digits. Press [ 2ndF ] [ → d /c ] to convert the d isplayed value to an im proper fraction. 2 [ a b /c ] 3 [ ] 7 [ a b /c ] 3 [ a b /c ] 5 [ ENTER ] DEG 8 ∪ 4 」 15 3 2 7 5 3 = 8 15 4 = 15 124 [ 2ndF ] [ → d /c ] DEG 124 」 15 If you press [ a b /c ] after press ing [ ENTER ], or if a fraction w as combined with a decim al number, the answer is displayed as a decimal number. 5 [ a b /c ] 4 [ a b /c ] 9 [ ] 3 [ a b /c ] 3 [ a b /c ] 4 [ ENTER ] DEG 9 ∪ 7 」 36 5 9 4 3 4 3 = 9 36 7 = 9.19 [ a b /c ] DEG 9.19 8 9 4 3.75 = 12.19 8 [ a b /c ] 4 [ a b /c ] 9 [ ] 3.75 [ ENTER ] DEG 12.19 Where possible, a fract ion is reduced to its low est terms after you press [ ], [ – ], [ × ], [ ÷ ] or [ ENTER ]. 3 21 119 = 8 3 2 3 [ a b /c ] 119 [ a b /c ] 21 [ ENTER ] DEG 8 ∪ 2 」 3 A result is displayed in dec imal format if the integer, num erator, denominator and fract ion symbols are togethe r more than 10 d igits. 12345 16 5 5 13 6 = 12350.77 12345 [ a b /c ] 5 [ a b /c ] 16 [ ] 5 [ a b /c ] 6 [ a b /c ] 13 [ ENTER ] DEG 12350.77 Convertin g Angular Unit s You can specify an angular un it of degrees (DEG), radians (RAD), or grads (GRAD). You can a lso convert a value ex pressed in one angular unit to its corres ponding value in another angu lar unit. The relation betw een the angular units is: 180° = π radians = 200 grads • To change the angular un it setting to another setting, press [ DRG ] repeatedly until the angular un it you want is indicated in the display. • After entering the va lue of an angle, press [ 2ndF ] [ D RG → ] repeatedly until the va lue is converted to the d esired unit. 90 DEG 90. [ 2ndF ] [ DRG → ] RAD 1.57 90° (deg) = ? (rad) = ? (grad) [ 2ndF ] [ DRG → ] GRAD 100.00 Trigonom etric and In verse Trig onometr ic Functio ns Before undertaking a tr igonometric or inverse trigonom etric calculation, make sure that t he appropriate a ngular unit is set. 3 sin 85° = ? 3 [ × ] 85 [ sin ] [ ENTER ] DEG 2.99 cos ( 4 π rad) = ? [ 2ndF ] [ π ] [ ÷ ] 4 [ ENTER ] [ cos ] RAD 0.71 tan 150 grad = ? 150 [ tan ] GRAD –1.00 sin –1 0.5 = ? deg 0.5 [ 2nd F ] [ sin –1 ] DEG 30.00 cos –1 ( 2 1 ) = ? rad 2 [ √ ] [ 2nd F ] [ x –1 ] [ 2ndF ] [ cos –1 ] RAD 0.79 tan –1 1 = ? grad 1 [ 2ndF ] [ tan –1 ] GRAD 50.00 Hyperbo lic and In verse hy perbolic functions cosh1.5 sinh1.5 = ? 1.5 [ HYP ] [ cos ] [ ] 1.5 [ HYP ] [ sin ] [ ENTER ] DEG 4.48 sinh –1 7 = ? 7 [ HYP ] [ 2ndF ] [ s in –1 ] DEG 2.64 tanh 1 = ? 1 [ HYP ] [ tan ] DEG 0.76 Rectangular and Polar coor dinates Rectangular Coordinates Polar Coordinates a b i = r (cos θ i sin θ ) Note: B efore undertaking a coo rdinates conversion calcu lation, make sure that the appropr iate angular un it is set. Convertin g from Rectangu lar to Polar 5 [ a ] 6 [ b ] [ 2ndF ] [ R → P ] DEG 7.81 If a = 5 and b = 6, what are r and θ ? [ b ] DEG 50.19 Converting from Polar to Rectangular 25 [ a ] 56 [ b ] [ 2ndF ] [ P → R ] DEG 13.98 If r = 25 and θ = 56°, what are a and b ? [ b ] DEG 20.73 Permutatio ns and Combinatio ns nPr = )! r n ( ! n − nCr = )! r n ( ! r ! n − How m any permutations of 4 items can you select from a set of 7 items? 7 [ 2ndF ] [ nPr ] 4 [ ENTER ] DEG 840.00 How m any combinations of 4 items can you select from a set of 7 items? 7 [ 2ndF ] [ nCr ] 4 [ ENTER ] DEG 35.00 Sexagesim al ↔ Decimal for m Conver sions You can convert a sexages imal figure (degree , minute and second) to a decimal num ber by pressing [ ] and co nvert a decim al number to a sexagesimal figure by p ressing [ 2ndF ] [ ]. Sexagesimal figures are d isplayed as follows: 12  45 ׀ 30 ׀ ׀ 5 = 12 degrees, 45 minutes, 30.5 seconds Note: If the tota l number of d igits in a DD, MM and SS.SS figure exceeds 8, the figure is truncated. Convertin g from Sexagesimal to Decim al 12 deg., 45 min., 30.5 sec.= ? 12 [ ] 45 [ ] 30.5 [ ] DEG 12.76 Convertin g from Decimal to Sexagesim al 2.12345 = ? 2.12345 [ 2nd F ] [ ] DEG 2  7 ׀ 24 ׀׀ 42 Base-n Cal culation s Convertin g between bases You can add, subtract, m ul tiply, and divide b inary, octal, and hexadecimal num bers in addition to decim al numbers. S elect the number base you w ant by pressing [ → BIN], [ → OCT], [ → HEX], or [ → DEC]. The BIN , OCT , and HEX indicators show you w hich base you are using. (If none of thes e indi cators is displayed, you are using decimal base.) The number keys that are active in a particula r base are: Binary base: [ 0 ] and [ 1 ] Octal base: [ 0 ] to [ 7 ] Decimal base: [ 0 ] to [ 9 ] Hexadecimal base: [ 0 ] to [ 9 ] and [ A ] to [ F ] [ 2ndF ] [ → DEC] 31 DEG 31. [ 2ndF ] [ → BIN] DEG BIN 11111. [ 2ndF ] [ → OCT] DEG OCT 37. 31 (base 10) = ? (base 2) = ? (base 8) = ? (base 16) [ 2ndF ] [ → HEX] DEG HEX 1F. [ 2ndF ] [ → HEX] 4 [ × ] 1B [ ENTER ] DEG HEX 6C. [ 2ndF ] [ → BIN] DEG BIN 1101100. [ 2ndF ] [ → DEC] DEG 108.00 4 × 1B (base 16) = ? (base 2) = ? (base 10) = ? (base 8) [ 2ndF ] [ → OCT] DEG OCT 154. Negative Numbers an d Complements In binary, octal, and hex adecimal bases, nega tive numbers are expressed as complem ents. The complem ent is the result of subtracting that num ber from 10000000000 in that number’s base. You do this by pressing [ / –] in a non-dec imal base. Calculate the complement of binary number 11011 [ 2ndF ] [ → BIN ] 11011 [ /–] DEG BIN 1111100101. Complex Number Calcul ations Press [ CPLX ] to enter com plex number m ode. The CPLX indica tor appears on the display. You ca n add, subtract , multiply, and divide co mpl ex n u mbe rs . Complex num bers are generally represent ed as a b i , where a is the real part and bi is the imaginary part. [ 2ndF ] [ CPLX ] 7 [ a ] 9 [ /– ] [ b ] [ ] 15 [ a ] 10 [ b ] [ ENTER ] DEG CPLX 22.00 ( 7 – 9 i ) (15 10 i) = ? [ b ] DEG CPLX 1.00 Note: Memory calculat ion is available in com plex number m ode. Random Numbers Press [ 2ndF ] [ RND ] to generate a random num ber between 0.000 and 0.999. Unit Conver sions The unit conversion keys a re [°F ← → °C ], [ mmHg ← → Kpa ], [ gal ← → I ], [ lb ← → kg ] and [ oz ← → g ]. The following ex ample illustrates the gen eral procedure for convert ing values from one un it to another. 12 in = ? cm 12 [ A → B ] [ 2ndF ] [ in ← → cm] DEG 30.48 98 cm = ? in 98 [ 2ndF ] [ A ← B ] [ 2ndF ] [ in ← → cm ] DEG 38.58 Statistics Press [ 2ndF ] [ STAT ] to ent er statistics mode. The STAT i ndi cator appears on the display. In stat istics mode you can ca lculate the following single-variable stat istics: n number of data items Σ x sum of the values of all the data items Σ x 2 sum of the squares x mean value s sample standard deviation 1 n /n ) x ( x 2 2 − − ∑ ∑ σ populat ion standard deviation n /n ) x ( x 2 2 ∑ ∑ − Continued on other si de hp 9s Scientifi c Calculator
CP precision capability σ 6 LSL USL − CPK process capability Min(CPU, CPL) where CPU = σ 3 x USL − C P L = σ 3 LSL x − Note: In statistics mode, a ll function keys are available ex cept those used for base-n calculat ions. Ex. 9: Enter the following data {2, 5, 5, 5, 5, 9, 9 , and 9} and calculate Σ x, Σ x 2 , n, x , S, CP, and CPK, w here USL value = 12 and LSL value = 2. In STAT mode [ 2ndF ] [ STAT ] DEG STAT 0.00 [ DATA ] 2 DEG STAT 2. [ DATA ] 5 DEG STAT 5. [ DATA ] 5 DEG STAT 5. [ DATA ] 5 DEG STAT 5. [ DATA ] 5 DEG STAT 5. [ DATA ] 9 DEG STAT 9. [ DATA ] 9 DEG STAT 9. [ DATA ] 9 DEG STAT 9. Enter all data [ ENTER ] DEG STAT 0.00 x = ? [ x ] DEG STAT 6.13 n = ? [ n ] DEG STAT 8.00 S = ? [ S ] DEG STAT 2.59 Σ x = ? [ 2ndF] [ Σ x ] DEG STAT 49.00 Σ x 2 = ? [ 2ndF ] [ Σ x 2 ] DEG STAT 347.00 σ = ? [ 2ndF ] [ σ ] DEG STAT 2.42 σ CP [ 2ndF ] [ CP ] 12 DEG STAT 12. USL CP [ ENTER ] 2 DEG STAT 2. LSL CP CP = ? [ ENTER ] DEG STAT 0.69 CPK [ 2ndF ] [ CPK ] DEG STAT 12.00 USL CPK [ ENTER ] DEG STAT 2.00 LSL CPK CPK = ? [ ENTER ] DEG STAT 0.57 Note: The ca lculator retains the data you have enter ed until you exit statistics mode. The data is retained even if you turn off the calculator or it autom ati cally turns off. Viewing Sta tistics D ata Press [ DATA ] or [ ENTER ] in edit (ED) m ode to view the statistics data you have entered. (If y ou press [ DATA ] the item num ber of the data appears briefly before the value.) Ex.10: View the data ente red in Ex. 9. Method 1 1. Press [ 2ndF ] [ EDIT ] to enter edit m ode. 2. Press [ DATA ] once to view the first data item. DEG ED ST AT dAtA 1 1.5 seconds → DEG ED ST AT 2.00 3. Continue pressing [ DATA ] t o display each data item . You will see data 2, 5.00, data 3, 5.00 , data 4, 5.00, d ata 5, 5.00, data 6, 9.00, data 7, 9.00, data 8, 9. 00 in sequence. Method 2 1. Press [ ENTER ] once to view the first data item . DEG ED ST AT 2.00 2. Continue pressing [ ENTER ] to display each dat a item. You will see 5.00, 5.00, 5.00, 5.00, 9.00, 9.00, 9.00 in sequ ence. Adding a Data Item Ex. 11: To add a 9th data item, of value 10, to the Ex. 9 dataset: 1. Press [ DATA ] 10 DEG ED ST AT 10. The calculator updates t he statistics as you enter dat a. You can then recall the statistics to get : x = 6.56, n = 9.00, S = 2.74, Σx = 59.00, Σ x 2 = 447.00 and σ = 2.59. Editing S tatistics Data Ex.12: Change the value of data item 1 in Ex . 9 from 2 to 3. Method 1 1. Press 2 [ 2ndF ] [ DEL ] 3 Method 2 1. Press [ 2ndF ] [ EDIT ] DEG ED ST AT 0.00 2. Display 2 by pressing [ DATA ] o r [ ENTER ] DEG ED ST AT 2.00 3. Enter 3 to overw rite 2. DEG ED ST AT 3. 4. Press [ ENTER ] to make the change. 5. Press [ 2ndF ] [ EDIT ] to exit edit m ode. Ex.13: Based on Ex .9, delete the first data e ntry (of value 2). Method 1 1. Press 2 [ 2ndF ] [ DEL ] t o delete 2. Method 2 1. Press [ 2ndF ] [ EDIT ] DEG ED ST AT 0.00 2. Display 2 by pressing [ DATA ] o r [ ENTER ]. DEG ED ST AT 2.00 3. Press [ 2ndF ] [ DEL ] DEG ED ST AT 5.00 4. Press [ 2ndF ] [ EDIT ] to exit edit m ode. Delete Error If you try to delete a value that is not in the dat aset, dEL Err or appears. (Existing data is not affected.) Ex.14: Delete 7 from the dataset in Ex.9. 1. Press 7 [ 2ndF ] [ DEL ] DEG STAT dEL Error 2. Press any key to clear the m essage. DEG STAT 0.00 Ex.15: Delete 5 × 5 from the dataset in Ex.9. 1. Press 5 [ × ] 5 [ 2ndF ] [ DE L ] DEG STAT dEL Error 2. Press any key to clear the m essage. DEG STAT 0.00 Weighted Data E ntry Met hod Instead of entering each data item individua lly, you can enter the value and the num ber of occurrences of that v alue (up to 255 ). The data from Ex .9 can be entered as follows: Value Number of occurrences Alternative m ethod 2 1 [ DATA ] 2 5 4 [ DATA ] 5 [ × ] 4 9 3 [ DATA ] 9 [ × ] 3 where item 1 = 2, item s 2 to 5 = 5, and item s 6 to 8 = 9. Error Condit ions The indicator FULL appea rs when any of the f ollowing conditions occur. Further data ent ry is not possib le. Press any key to clear the indicator. Providing that you r emain in statistics m ode, previously entered data entries are unaffected. • You attempt to enter m ore than 80 data items. • The number of occurrenc es of of any part icular data value is greater than 255 • The product of the num ber of data items and the number of occurrences is greater than 20400. © Copyright 2002 Hewlett-P ackard Developm ent Company, L.P. Reproduction, adaptat ion or translation w i thout prior written a pproval is forbidden except as a llowed under copyrigh t laws. Printed in China. HDPMR178E23 M WB HP part number: F221 2-90001