HP 50g guide

ΣDAT, by using function STOΣ (see example above). Next, obtain single- variable information using: ‚Ù@@@OK@@@. The results are:

This information indicates that our data ranges from -9 to 9. To produce a frequency distribution we will use the interval (-8, 8) dividing it into 8 bins of width 2 each.

•Select the program 2. Frequencies.. by using ‚Ù˜@@@OK@@@. The data is already loaded in ΣDAT, and the option Col should hold the value 1 since we have only one column in ΣDAT.

•Change X-Min to -8, Bin Count to 8, and Bin Width to 2, then press

@@@OK@@@.

Using the RPN mode, the results are shown in the stack as a column vector in stack level 2, and a row vector of two components in stack level 1. The vector in stack level 1 is the number of outliers outside of the interval where the frequency count was performed. For this case, I get the values [14. 8.] indicating that there are, in the ΣDAT vector, 14 values smaller than -8 and 8 larger than 8.

•Press ƒto drop the vector of outliers from the stack. The remaining result is the frequency count of data.

The bins for this frequency distribution will be: -8 to -6, -6 to -4, …, 4 to 6, and 6 to 8, i.e., 8 of them, with the frequencies in the column vector in the stack, namely (for this case):

23, 22, 22, 17, 26, 15, 20, 33.

This means that there are 23 values in the bin [-8,-6], 22 in [-6,-4], 22 in [- 4,-2], 17 in [-2,0], 26 in [0,2], 15 in [2,4], 20 in [4,6], and 33 in [6,8]. You can also check that adding all these values plus the outliers, 14 and 8, show above, you will get the total number of elements in the sample, namely, 200.

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HP 50g manual

Contents

User’s manual HP 50g graphing calculator Printing History Preface Table of Contents Calculations with real numbers Algebraic and arithmetic operations Calculations with complex numbers Operations with lists Solution to equations Matrices and linear algebra Vectors Calculus Applications Graphics Probability Distributions Multi-variateCalculus ApplicationsVector Analysis Applications Differential Equations Equation Library Using SD cardsStatistical Applications Numbers in Different Bases Chapter Getting started Basic OperationsBatteries Page Contents of the calculator’s display MenusTool menu Introducing the calculator’s keyboard Setting time and date ALPHA-Left-Shift function, to enter the lower-case letter p Selecting calculator modes √ 3.*5.-1/3.*3./23.3+EXP2.5 Operating ModePage Lets try now the expression proposed earlier Number Format and decimal dot or comma Standard formatFixed format with decimals Scientific format Engineering format Decimal comma vs. decimal point Coordinate System Angle Measure Selecting CAS settings Explanation of CAS settings Selecting Display modes Selecting properties of the line editor Selecting the display font Selecting properties of the Stack Selecting properties of the equation writer EQW References Creating arithmetic expressions Chapter Introducing the calculatorCalculator objects Editing expressions in the stackPage Page 2L 1 + + 2 L + y Creating algebraic expressions Using the Equation Writer EQW to create expressions + 2 ⋅ 5 + ⎛ x + 2 ∝ ⋅ ∆y ⎞ Home directory Organizing data in the calculator Variables SubdirectoriesTyping variable names Creating variables Algebraic mode RPN mode Page Checking variables contents Listing the contents of all variables in the screen Using function Purge in the stack in Algebraic modeDeleting variables Using function Purge in the stack in RPN mode Choose boxes vs. Soft Menu Undo and CMD functions @@OK@@ References Examples of real number calculations Chapter Calculations with real numbersPage Using powers of 10 in entering data Page Using calculator menus Real number functions in the MTH menuHyperbolic functions and their inverses Page Units menu Operations with unitsPage Attaching units to numbers Available units Unit prefixes Operations with units Unit conversions Quit Physical constants in the calculatorPage Defining and using functions Reference Setting the calculator to Complex mode Chapter Calculations with complex numbersDefinitions Entering complex numbers Polar representation of a complex number Simple operations with complex numbers Cmplx menusCmplx menu through the MTH menu Forms the complex number x,y out of real numbers x Cmplx menu in keyboard Functions applied to complex numbers Function Droite equation of a straight line Page Entering algebraic objects Chapter Algebraic and arithmetic operations Simple operations with algebraic objects Functions in the ALG menu Collect Operations with transcendental functions Expansion and factoring using log-exp functions Expansion and factoring using trigonometric functions FACTORSSIMP2 Functions in the Arithmetic menu Pcoef function PolynomialsHorner function Variable Peval function FractionsProot function Quot and Remainder functions Fcoef function SIMP2 functionPropfrac function Partfrac function Step-by-step operations with polynomials and fractions Froots function− 5X 2 + 3X − Reference Chapter Solution to equations Symbolic solution of algebraic equationsFunction Isol Function Solve Page Function Zeros Function Solvevx Numerical solver menu Polynomial Equations Finding the solutions to a polynomial equation Enter vector of roots Generating an algebraic expression for the polynomial Financial calculations Function Steq Solving equations with one unknown through Solution to simultaneous equations with Mslv Reference Page Changing sign Chapter Operations with listsCreating and storing lists Operations with lists of numbers Addition, subtraction, multiplication, division Page Functions applied to lists Lists of complex numbers MTH/LIST menu Lists of algebraic objectsPage MAP function SEQ functionPage Chapter Vectors Entering vectorsTyping vectors in the stack Storing vectors into variables in the stack Moving to the right vs. moving down in the Matrix Writer Using the Matrix Writer Mtrw to enter vectors Press @GOTO@ 3@@OK@@ 3@@OK@@ @@OK@@ to move to position 3,3 Addition, subtraction Simple operations with vectors MTH/VECTOR menu Multiplication by a scalar, and division by a scalarAbsolute value function Magnitude Dot productCross product Reference Using the Matrix Writer Chapter Matrices and linear algebraEntering matrices in the stack Typing in the matrix directly into the stack Operations with matrices Addition and subtraction MultiplicationMultiplication by a scalar Matrix-vector multiplication Matrix multiplicationCij = ∑aik ⋅ bkj , for i = 1,2,K, m j = 1,2,K, n Term-by-term multiplication Raising a matrix to a real power Inverse matrix Identity matrix TrA = ∑aii Characterizing a matrix The matrix Norm menuFunction DET Function Trace Using the numerical solver for linear systems Solution of linear systems ⎢x2 = ⎢1 Solution by division of matrices Solution with the inverse matrix References Graphs options in the calculator Chapter Graphics = 1 exp− x Plotting an expression of the form y = fxPage Generating a table of values for a function Fast 3D plots Keep the default plot window ranges to read Reference Page Function lim Chapter Calculus ApplicationsCalc Calculus menu Limits and derivatives Lim f Xdx = F x + C Anti-derivatives and integralsFunctions Deriv and Dervx Functions INT, INTVX, RISCH, Sigma and Sigmavx Definite integrals Infinite series Functions TAYLR, TAYLR0, and Series= ∑ Reference Partial derivatives Chapter Multi-variate Calculus Applications Multiple integrals Chapter Vector Analysis Applications Del operatorGradient Curl Divergence Function Ldec Solution to linear and non-linear equationsChapter Differential Equations CALC/DIFF menuPage Variable Odetype Function Desolve Laplace transform and inverses in the calculator Laplace Transforms 2inπt Fourier seriesFunction Fourier Lf t= F s = 0∞ f t ⋅ e− st dt Fourier series for a quadratic function Reference Page − r + Chapter Probability DistributionsMTH/PROBABILITY.. sub-menu part Factorials, combinations, and permutations Random numbers MTH/PROB menu part Normal distributionStudent-t distribution F distribution Chi-square distribution Entering data Chapter Statistical Applications Sample vs. population Calculating single-variable statistics Obtaining frequency distributions Page 195238095238 + 2.00857242857*X Correlation Covariance Fitting data to a function y = fx Obtaining additional summary statistics Confidence intervals Page Hypothesis testing Page Reference Page Base menu Chapter Numbers in Different Bases Writing non-decimal numbers Chapter Using SD cards Inserting and removing an SD cardFormatting an SD card Storing objects on the SD card Accessing objects on an SD card Purging an object from the SD card Recalling an object from the SD card Specifying a directory on an SD card Purging all objects on the SD card by reformatting `#EQLIB #EQNLI Chapter Equation Library Step 30 ##¢0#- L *!!!!!!V0!!!!!+ Reference Limited Warranty W-2 Europe Asia Pacific Country Telephone numbers Service America Country Telephone numbers Federal Communications Commission Notice Regulatory information Canadian Notice Korean Notice