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Casio fx-50F kStatistical Calculation Examples, Command, Students, Example 1:, Calculation Formula, Operation Procedure

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	Command				Calculation Formula
	Estimated Value m	m=	b
	Estimated Value m	m=	y – a

	Estimated Value n	n = a +		b
	Estimated Value n	n = a +		x
				x

kStatistical Calculation Examples

This section provides some actual examples of statistical calculation examples as they are performed on your calculator.

Example 1: The nearby table shows the pulse rates of 50 students who attend a high school for boys that has a total enrollment of 1,000 students. Determine the mean and standard deviation of the sample data.

Operation Procedure

Select the SD Mode: N4(SD)

Select FreqOn for the statistical frequency setting: 1N(SETUP)dd1(FreqOn)

Input the sample data:

Pulse Rate	Students
54 – 56	1
56 – 58	2
58 – 60	2
60 – 62	5
62 – 64	8
64 – 66	9
66 – 68	8
68 – 70	6
70 – 72	4
72 – 74	3
74 – 76	2

55m(DT)571,(;)2m(DT)591,(;)2m(DT) 611,(;)5m(DT)631,(;)8m(DT)

651,(;)9m(DT)671,(;)8m(DT)

691,(;)6m(DT)711,(;)4m(DT)

731,(;)3m(DT)751,(;)2m(DT)

Obtain the mean:

12(S-VAR)1(o)Ex

Obtain the sample standard deviation:

6568

12(S-VAR)3(xσn–1)Exσn–1

4635444632

E-50

Contents

Page Getting Started kBefore using the calculator for the ﬁrst time kResetting the Calculator to Initial Defaults kAbout this Manual Safety Precautions Caution Operating Precautions Contents Complex Number Calculations (CMPLX) Statistical Calculations (SD/REG) Built-inFormulas Program Mode (PRGM) Appendix CASIO kKey Markings kReading the Display Calculation Modes and Setup kSelecting a Calculation Mode kCalculator Setup A Specifying the Fraction Display Format Fraction Format A Specifying the Complex Number Display Format Complex Number Format A Specifying the Statistical Frequency Setting Inputting Calculation Expressions and Values kInputting a Calculation Expression (Natural Input) A Omitting the Multiplication Sign You can omit the multiplication sign in the following cases •Immediately before an open parenthesis: 2 ×(5 + 4) •Immediately before a scientiﬁc function with parentheses: 2 ×sin(30), 2 ×'(3) •Before a preﬁx symbol (excluding the minus sign): 2 ×h123 kEditing a Calculation co s ( 60 )I co s ( 60 ) kFinding the Location of an Error Basic Calculations kArithmetic Calculations kFractions A Fraction Calculation Examples Example 1: 3 1 + 1 2 = 4 3$1$4+ 1$2$3w Example 2: 4 – 3 1 kPercent Calculations An s –Ans ×20% eeeeY8w ( 48–40 ) ÷40% kDegree, Minute, Second (Sexagesimal) Calculations Calculation History and Replay kAccessing Calculation History kUsing Replay Calculator Memory Operations kUsing Answer Memory (Ans) An s ÷30 '( Ans 789-Kw 789–Ans 3x+4xw 3 2 +4 9K)+5w '(Ans )+5 kUsing Independent Memory kUsing Variables kClearing All Memory Contents Using π, e, and Scientiﬁc Constants kPi (π) and Natural Logarithm Base e kScientiﬁc Constants mp mn ne mμ dddd4(c0)E A Table of Scientiﬁc Constants Scientiﬁc Constant Value Unit Scientiﬁc Function Calculations kTrigonometric and Inverse Trigonometric Functions kAngle Unit Conversion kHyperbolic and Inverse Hyperbolic Functions s i nh ( 1 ) ws(sinh)1)E kExponential and Logarithmic Functions l og ( 2 , 16 ) eˆ ( 10 ) kPower Functions and Power Root Functions kCoordinate Conversion (Rectangular ↔ Polar) Po l ('( 2 ) ,'( 2 ) ) 1-(Rec)2, Rec ( 2 , 30 ) kOther Functions 1000Ran# *14E An s ×14 10(Rnd)E Rnd ( Ans Ans × Using 103 Engineering Notation (ENG) kENG Calculation Examples Complex Number Calculations (CMPLX) kInputting Complex Numbers kComplex Number Calculation Result Display kCalculation Result Display Examples kConjugate Complex Number (Conjg) Con jg( 2+3 i ) kAbsolute Value and Argument (Abs, arg) Ab s ( 2+2 i ) kOverriding the Default Complex Number Display Format 292)1-(∠)45 2'( 2 )4 5a+ bi 2+2 ir θ Statistical Calculations (SD/REG) kStatistical Calculation Sample Data kPerforming Single-variableStatistical Calculations L i ne F r eq 1 F r eq 3 Page kPerforming Paired-variableStatistical Calculations L i n Log E x p Pwr I n v Quad AB–Ex p xσn xσn–1 ƙxy Σxy = Σxiyi Σx2y = Σxi2yi Σxi p = Σnyi Σ (yi – xˆ1 xˆ2 Sx2y.Sxx – Sxy.Sxx2 Sxx.Sx2x2 – (Sxx2)2 n.Σxilnyi – Σxi.Σlnyi lny – lna n = aebx n.Σxi2 – (Σxi)2 lnb Sxy Sxx Sxx.Syy kStatistical Calculation Examples Number Weight of Days N5(REG)1(Lin) –4209356544 Base-n Calculations (BASE) kPerforming Base-n Calculations AExample Base-n Calculations Example 1: To select binary as the number base and calculate 12 + Al(BIN)1+1E Example 2: To select octal as the number base and calculate 78 + Ai(OCT)7+1E kConverting a Displayed Result to another Number Base kUsing the LOGIC Menu Neg kSpecifying a Number Base for a Particular Value kPerforming Calculations Using Logical Operations and Negative Binary Values 11 1 1x no r 10 Built-inFormulas No t ( 10 10 ) Neg ( 10 110 1 ) kUsing Built-inFormulas (Prompt for input for variable a) a A Special Built-inFormula Variables (Formula Variables) Prompt for input for variable a 1G(LOOK) 0 3 : S='(s ( s– a ) ( s – kBuilt-inFormula List ax2 + bx + c = 0 (a ≠ 0, b2 − 4ac ≧ 0) a = b2 + c2 − 2bc cosθ 4πε0 sin ) [dB] nRT Program Mode (PRGM) kProgram Mode Overview kCreating a Program ED I T RUN DEL k Running a Program k Deleting a Program kInputting Commands kCommand Reference →(Variable Assignment) {expression ; ?} → {variable} right A+5 → A : (Separator Code) =, ≠, >, >, <, <(Relational Operators) {expression} {relational operator} {expression} If statements and While statements (page 68) A Control Structure Commands/If Statement g For~To~Next (ending value)} : {statement} : ... {statement} : Next : statement following Next For 1 → A To 10 : A2 → B : B ^ Next For~To~Step~Next Angle Unit Commands Deg, Rad, Gra Display Format Command Fix Sci A Clear Commands ClrStat A Independent Memory Commands M+, M– A Rounding (Rnd) Command Appendix Stack Limitations k Calculation Ranges, Number of Digits, and Precision A Function Calculation Input Ranges and Precision a b/c k Error Messages A Recovering from an Error Message A Error Message Reference Power Requirements Speciﬁcations CASIO Europe GmbH Bornbarch 10, 22848 Norderstedt, Germany CASIO COMPUTER CO., LTD 6-2, Hon-machi 1-chome Shibuya-ku,Tokyo 151-8543,Japan