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Example: Calculate

given the following data:

15, 14, 11, 15, 13, 13, 14, 12

In SD mode:







(Scl)



(Stat clear)

Each time you press



, the data you have just

entered is stored. The

= value shown on the screen

indicates the number of data pairs you hove entered.



Standard deviation of the sample

-1

= 1.407885953









Standard deviation of the population

= 1.316956719









Mean ( ) = 13.375









Number of data points( ) = 8









Sum of the data values (

) = 107









Sum of the squares of the data values
(

) = 1445









To display this result

Press these keys







































–

Содержание 10s+

Страница 1: ...HP 10s Scientific Calculator User Guide ...

Страница 2: ...warranties for HP products and services are set forth in the express warranty statements accompanying such products and services Nothing herein should be construed as constituting an additional warranty HP shall not be liable for technical or editorial errors or omissions contained herein First Edition June 2012 Part number 697634 001 ...

Страница 3: ...nent Display Format 7 Decimal Point and Separator 8 Initializing the Calculator 8 Basic Calculations 8 Arithmetic Operations 8 Calculations with Fractions 9 Converting Between Decimal and Fractional Display 10 Calculating Percentages 11 Calculations Involving Degrees Minutes and Seconds 12 FIX SCI RND 12 Calculations Involving the Memory 14 Ans Memory 14 Continuous Calculation 14 Variable M 15 Var...

Страница 4: ...andard Deviation SD 20 Data Entry Hints 22 Regression REG 23 Linear Regression 25 Logarithmic Exponential Mathematical Power and Inverse Regression 26 Quadratic Regression 27 Data Entry Hints 28 Technical Data 29 Troubleshooting 29 Error Messages 29 Input Range 31 Sequence of Operations 33 Stack 35 Automatic Power Saver 36 Replacing the Battery 36 Specifications 37 Regulatory Notices 38 European U...

Страница 5: ... side of the unit Safety Precautions Before using the calculator please read the following safety precautions carefully Keep this manual handy so that you can refer to it when needed The representations of the display and the keys in this manual are for explanatory purposes only and may not exactly match what you see on the calculator Notice This symbol indicates that there is a risk of injury or ...

Страница 6: ...r for the first time press the key The battery may lose some charge between the time the calculator leaves the factory and the time when it is purchased Thus the original battery may not last as long as a new battery When battery power is very low the calculator s memory may become corrupted or be lost completely To avoid loss of important information keep a copy of it elsewhere Avoid storing or u...

Страница 7: ...ress the calculator s keys Use a soft dry cloth to clean the calculator Opening the calculator casing voids the warranty If the calculator is very dirty a neutral household cleanser diluted in water can be used to clean it Dip a cloth in the solution and wring it out before applying it to the calculator Do not use benzine a diluting agent or any other volatile solvent to clean the calculator Doing...

Страница 8: ...forming a calculation Press the key to display each settings screen in turn Each settings screen is described later in this guide Throughout this manual the mode setting required for each type of calculation is given when the calculation is explained Type of Calculation Operation Calculation mode Basic Calculation COMP Standard Deviation SD Calculation using Regression REG ...

Страница 9: ...ommodate 79 steps in any one calculation When you press a number key or an arithmetic operator key it occupies on step Pressing or does not occupy a step So pressing for example takes up only one step When you input the 73rd set of any calculation the cursor changes from _ to to alert you to the fact that the capacity of the memory is almost used up If what you want to input contains more than 79 ...

Страница 10: ... calculation and its results Press the key again to recall the next previous calculation and so on When a previous calculation is recalled you can activate editing mode by pressing or After any calculation the calculation can be edited by pressing or immediately Pressing does not clear the calculation memory Therefore when you press again the previous calculations are still available The capacity ...

Страница 11: ...onent notation Two exponent formats are available To change the display format press repeatedly until the appropriate settings screen appears For an exponent setting press In the settings screen that appears press to choose Norm 1 or to choose Norm 2 Norm 1 Exponent notation is applied automatically to any number whose absolute value is greater than or equal to 10 10 or less than 10 2 Norm 2 Expon...

Страница 12: ...Dot Decimal point and comma separator Comma Decimal comma and point separator Initializing the Calculator To initialize the calculator which clears the memory and all variables and resets all modes to their default settings press ALL Basic Calculations Arithmetic Operations When raising negative values to powers make sure that the negative sign is inside the parentheses around the value Please see...

Страница 13: ... is Calculations with Fractions A value is automatically displayed in decimal format if the total number of digits of the fraction integer numerator denominator semicolon is greater than 10 Example 1 Example 2 Example 3 6 9 Example 4 1 8 2 05 1 4 1 8 A calculation involving a fraction and a decimal generally yields a decimal result 1 3 2 5 11 15 3 1 2 2 3 4 6 1 4 1 3 2 5 11 15 3 1 2 2 3 4 6 1 4 6 ...

Страница 14: ...ractions Example 2 To change the fraction display format press repeatedly until the following screen appears Press to display the settings screen Example 1 3 25 3 3 25 3 25 Decimal Fraction 3 1 4 13 4 Example 2 0 2 Fraction Decimal 1 5 1 5 0 2 1 5 2 3 4 2 3 4 11 4 2 3 4 Disp 1 1 4 1 5 3 4 11 4 ...

Страница 15: ...culate 15 of 1000 150 1000 15 Example 2 What percentage of 440 is 330 75 330 440 Example 3 1000 plus 15 1150 1000 15 Example 4 1000 minus 15 850 1000 15 Example 5 If the original weight of a sample is 400g and a further 100g is added to it what is the new weight as a percentage of the old weight 125 100 400 Example 6 If the temperature increases from 60ºC to 66ºC what is the percentage increase Wh...

Страница 16: ... To change the display format settings press repeatedly until the screen below appears Press the number key or corresponding to the setting you want to change Fix To set the number of decimal places Sci To set the number of significant digits Norm To set the display format to normal Example 1 100 3 15 Now specify that you want numbers displayed with 3 decimal places 1 234 1 234 1º 14º 2 4 1 234 12...

Страница 17: ...r to round a number to the number of decimal places you have specified Press Norm to cancel the settings Example 2 2 3 Display the result with two significant digits Sci 2 Sci You can also display result in 10 significant digits Sci 10 using Sci Press Norm to cancel settings 100 3 33 333 15 500 000 100 3 33 333 Internally Rounded 33 333 15 499 995 2 3 SCI 6 7 x 10 01 ...

Страница 18: ... updated if an error occurs when you use any of the above mentioned keys for a calculation Continuous Calculation The result currently displayed can be used as the first value in the next calculation Simply press an operator key Ans appears on the screen indicating that the last answer obtained is to be used in the calculation The previous result can also be used by the following functions 2 3 1 D...

Страница 19: ...numerical values in the separate variable M press M Variables There are 9 variables A to F M X and Y These are used for storing data constants calculation results and other numerical values To clear a single variable store zero into it For example This clears variable A To clear the values of all variables press Mcl Example 1234 20 61 7 1234 25 49 36 1234 20 25 12 3 15 12 M 45 6 39 45 6 38 x 2 76 ...

Страница 20: ...nge the current angle units degrees radians or grads press repeatedly until the following screen appears Now press the number key or corresponding to the angle unit you want to use Note that 90 radians 100 grads Example 1 sin12 34 56 0 217840422 Deg 12 34 56 Example 2 cos rad 0 5 Rad 3 Example 3 cos 1 0 25π rad rad Rad 2 2 Example 4 tan 1 0 789 38 27343992 Deg 0 789 To perform a scientific calcula...

Страница 21: ... 4 49980967 90 ln 1 Example 3 10 22026 46579 10 Example 4 102 5 316 227766 2 5 Example 5 2 5 0 03125 2 5 Example 6 2 6 64 2 6 Note that the negative value is the previous example had to be placed in parentheses Please see Sequence of Operations on page 33 for details Square Root Cube Root Root Square Cube Reciprocal Factoral Random Number Circumference Ratio π Permutation and Combination Example 1...

Страница 22: ...and 0 999 The value shown above is just an example A different random number is likely to be produced each time Example 9 2π 6 283185307 2 Example 10 How many different 5 digit numbers can be produced with the digits 1 to 6 if no digit can be repeated 12345 allowed 11234 not allowed 720 6 5 Example 11 How many different groups of three people can be organized with10 people 120 10 3 0 654 4 5 123 1...

Страница 23: ...c The result will be stored in variables E and F automatically Example 1 Express the point defined by the polar coordinates 4 30 in rectangular coordinates Deg 3 464101615 4 30 2 Press to display the value of or press to display the value of Example 2 Express the point defined by the rectangular coordinates 2 in polar coordinates Rad 3 2 5 0 84106867 D 1 R 2 G 3 2 34 R 2 34r 134 0721241 x y r θ r ...

Страница 24: ... Change 0 01234 grams to milligrams 12 34 10 3 0 01234 mg Statistics Standard Deviation SD In SD and REG modes the key acts as the key Press the Scl keys to erase the statistics memory before you enter data Press the following key to input data data Input data to calculate 2 Press to select SD mode for statistical calcula tions with standard deviations SD r θ x n x Σx x xσn xσn 1 ...

Страница 25: ...n indicates the number of data pairs you hove entered 14 11 15 13 14 12 Standard deviation of the sample n 1 1 407885953 Standard deviation of the population n 1 316956719 Mean 13 375 Number of data points 8 Sum of the data values 107 Sum of the squares of the data values 2 1445 To display this result Press these keys 15 n SD 1 Σx 2 Σx n x xσn xσn 1 xσn 1 xσn x Σx Σx 2 n xσ xσ x n Σx Σx ...

Страница 26: ...ome other operations calculation display calculation result and so on you must first press the key to exit from the data displaying screen To change a data value scroll to it enter the new value and press However you must press if you want to add the value as a new data item To delete a data value displayed by pressing and press The values are stored in the memory If Data Full appears on the scree...

Страница 27: ...acts as the key When you select REG mode the following screen appears Press the number key or corresponding to the regression type you want to use Lin Linear regression Log Logarithmic regression Exp Exponential regression Pwr Mathematical power regression Inv Inverse regression Quad Quadratic regression Calculations involving regression require REG mode Press the key to select REG mode REG Lin 1 ...

Страница 28: ... the data input The result can be displayed using the following syntax and keys To display quadratic regression calculation results use the following syntax and keys To display this result Press these keys 2 2 n n 1 n 1 Regression coefficient A Regression coefficient B With non quadratic regression types Regression coefficient r x y Σx Σx n Σy Σy Σxy x xσ xσ y yσn yσ x y ...

Страница 29: ...the coefficients of the regression formula and how the formula can then be used to determine air temperature at a particular pressure 1000hPa and the air pressure at a particular temperature 5 C In the process we also determine the coefficient of determination 2 and the sample covariance To display this result Press these keys 3 2 4 Regression coefficient C 1 2 Air Temperature Atmospheric Pressure...

Страница 30: ...ent B 0 56 Regression coefficient 0 982607368 The atmospheric pressure when the air temperature is 5 C 994 6 5 The air temperature when atmospheric pressure is 1000hPa 4 642857143 1000 Coefficient of determination 0 965517241 Sample covariance 35 1 Logarithmic Exponential Mathematical Power and Inverse Regression Use these regression types in the same way that you use linear regression see above I...

Страница 31: ...sion formula and then use the formula to calculate the estimated value of when 16 and the value the estimated value of when 20 In regression REG mode Quad Scl Stat clear 29 1 6 50 23 5 74 38 0 103 46 4 118 48 0 Logarithmic regression y A B lnx Exponential regression y A eB x lny lnA Bx Mathematical Power regression y A ex lny lnA B lnx Inverse regression y A B 1 x 29 1 6 50 23 5 74 38 0 103 46 4 1...

Страница 32: ...g 30 40 5 enters the data pair 30 40 5 times The some data entry hints noted for Standard Deviation made see earlier also apply in Regression mode When carrying out statistical calculations do not store any data in variables A to F X or Y These variables are used as temporary memory during calculations and thus their contents could get overwritten during a calculation Variables A to F X and Y are ...

Страница 33: ... always have a copy of all important information kept separate from the calculator Error Messages If an error message occurs the calculator stops running immediately Press to clear the error message or press or to redisplay the calculation so that you can correct it Math ERROR Causes The result exceeds the calculator s computational range You tried to enter a value that exceeds the calculator s in...

Страница 34: ...ses The number entered or operator selected was not expected or was not in the correct form Correction Press or to redisplay the calculation The cursor will be at the place where the error occurred Correct the problem and then proceed Arg ERROR Causes A parameter you entered was not expected or was not in the correct form Correction Press or to redisplay the calculation The cursor will be at the p...

Страница 35: ... tan DEG Same as sin except when GRA Same as sin except when RAD Same as sin except when sin 1 0 1 cos 1 tan 1 0 9 999999999 1099 sinh 0 230 2585092 cosh sinh 1 0 4 999999999 1099 cosh 1 0 4 999999999 1099 tanh 0 9 999999999 1099 tanh 1 0 4 999999999 10 1 Log ln 0 9 999999999 1099 x x x x x x x x x x x 2n 1 90 x x 2n 1 π 2 x x 2n 1 100 x x x x x x x x x x x x x x x x x x x ...

Страница 36: ... 1010 0 are integers 1 1 10100 n r 0 1 1010 0 are integers 1 1 10100 Pol 9 999999999 1049 9 999999999 1099 Rec 0 9 999999999 1099 Same as for sin b c 1 10100 0 b c 1 10100 Decimal Sexagesimal Conversions 0 0 0 999999 59 x e x x x x x 2 x 1 x x x x 3 x x x x P n r n n r n n r C n r n n r n r n r x y x y x 2 y 2 r θ r θ x a x x ...

Страница 37: ... out in the following order 1 Coordinate transformations Pol Rec 2 A type functions These are functions where a value must be entered before you press a function key 0 1 10100 log 100 0 0 0 is an integer However 1 10100 1 log 100 0 0 1 10100 1 log 100 0 0 0 0 is an integer However 1 10100 1 log 100 a b c The total number of integer numerator and denominator digits must be 10 or less including divi...

Страница 38: ...tanh 1 7 Implied multiplication preceding a B type function Alog2 etc 8 Permutations and combinations n r n r 9 10 In an expression where two components have the same priority the calculation is performed from right to left ln 120 ln 120 Other calculations will be carried out from left to right Calculations in parentheses are performed first If the calculation includes a parameter with a negative ...

Страница 39: ...he operator stack during the calculation The number stock has a maximum capacity of 10 while the operator stack has a maximum capacity of 24 If a calculation exceeds the stack capacity a Stack ERROR will occur Example 2 3 4 5 6 7 8 9 1 23 4 5 6 7 The calculation will be carried out in the order described in Sequence of Operations During the course of a calculation the number and order stacks are c...

Страница 40: ...backup Replace the battery as soon as possible when the display becomes dim A dim display indicates that battery power is low 1 Press OFF 2 Remove the screw that secures the battery cover and then remove the battery cover 3 Remove the old battery 4 Insert a new battery positive side upward 5 Replace the battery cover and secure it with the screw 6 Press the following keys to reset all modes and se...

Страница 41: ...utton Cell One 1 Alkaline button battery LR44 Battery Life Standby ON but no calculation about 3 years OFF about 5 years Dimensions 147 0 x 77 2 x 15 0 mm unit 149 5 X 82 2 X 19 5 mm with protective case Weight 93g unit 123g with protective case Operating Temperature 0 C 40 C ...

Страница 42: ...ity issued by HP for this product or product family and available in English only either within the product documentation or at the following web site www hp eu certificates type the product number in the search field The compliance is indicated by one of the following conformity markings placed on the product Please refer to the regulatory label provided on the product The point of contact for re...

Страница 43: ... or disposed in California Disposal of Waste Equipment by Users in Private Household in the European Union This symbol means do not dispose of your product with your other household waste Instead you should protect human health and the environment by handing over your waste equipment to a designated collection point for the recycling of waste electrical and electronic equipment For more informatio...

Страница 44: ...ormation about the chemical substances in our products as needed to comply with legal requirements such as REACH Regulation EC No 1907 2006 of the European Parliament and the Council A chemical information report for this product can be found at www hp com go reach China RoHS ...

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