Solution 12185: Algorithm Used by TI Graphing Calculators for Computing Quartiles.
...iles? TI graphing calculators compute quartiles by simply averaging the values of adjacent ordered measurements.Consider this example using the data {14, 29, 32, 38, 41, 45, 68, 71, 74, 83, 86, 87}. TI calculators use the formula .25(n+1) to calculate the position of the lower quartile. In this c...https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/12185
Solution 11694: Algorithm Used for Calculating the Inverse of a Matrix on a Texas Instruments Graphing Calculator.
...mbolize A-1, we can follow that A * X = Indentity. Since A is equal to L * U, this means: L * U * X = IndentityLet's say A = [[2,-1,0] [4,3,-3] [8,-14,5]]. Therefore, the identity matrix = [[1,0,0] [0,1,0] [0,0,1]]. From A, we get L = [[1,0,0] [2,1,0] [4,-2,1]] and U = [[2,-1,0] [0,5,-3] [0,0...https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/11694
Solution 13344: Calculating lcm() (Least Common Multiple) of Two Arguments on the TI-89 Family, TI-92 Family and Voyage™ 200 Graphing Calculators.
...] [,] [9] [)] ¾ The entry line should display "lcm(6,9)". 3) Press [ENTER] ¾ The answer of 18 is displayed. Example: Find the LCM of the list {1/3, -14, 16} and the list {2/15, 7, 5}. 1) Press [2ND] [MATH] [1], use [↓] to select B:lcm(, then press [ENTER] 2) Press [2ND] [{] [1] [÷] [3] [,] [(-)...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/13344
Solution 10417: Calculating Two-Variable Statistics on the TI-86
...owing example will demonstrate how to perform two-variable statistics calculations using the TI-86.Data for this example:xStat: {3,5,8,10}yStat: {7,8,14,18}Enter the data into the TI-86:1) Enter STAT mode by pressing [2nd] [STAT]. 2) Press [F2] to select Edit. 3) Enter the data in the xStat and ...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/10417
Solution 11842: Algorithm Used for Symbolic Integration Function on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
...artial-fraction expansion, much as described by J. Moses in "Symbolic Integration: The Stormy Decade", Communications of the ACM, August 1971, Volume 14, Number 8, pp. 548-559. Antiderivatives are NOT computed by any of the Risch-type algorithms. Definite integrals are determined by subdividing t...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/11842
Solution 12054: Finding the Curl of a Vector Field on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
... [ALPHA] [r] [ENTER]. Please Note: X*Y*Z is just an example expression. Feel free to use whatever expressions describe the vector field in question. 14) Press [2ND] [ALPHA] [c] [u] [r] [l] [ALPHA]. 15) Press [(] [X] [,] [Y] [,] [Z] [)] [ENTER]. 16) Press [▲] [ENTER] [|] [X] [=] [1]. 17) Press [...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/12054
Solution 12046: Calculating Two-Variable Statistics on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
...ble statistics calculations using the TI-89 family, TI-92 family, and Voyage 200. Data for this Example: x values: {5, 9, 7, 11} y values: {12, 15, 14, 17} To Solve: 1) Press [APPS] use the arrows to select [Data/Matrix Editor] and press [ENTER]. 2) Choose [3: New] then press [Enter]. 3) Pres...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/12046
Solution 11868: Certain Polar Values Not Computed on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
...21 < 3)/((250 < 85)+(121 < 3)) The exact solution to this is... (30250*(62500*(cos(3))2*(cos(5))4+(125000*(sin(5))2*(cos(3))2+60500*sin(5)*cos(3)+14641)*(cos(5))2+60500*sin(3)*cos(5)+62500*(sin(5))4*(cos(3))2+60500*(sin(5))3*cos(3)+14641*(sin(5))2+62500*(sin(3))2)/(60500*sin(3)*cos(5)+60500*s...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/11868
Solution 12130: Difference Between the FIX and FLOAT Display Digits Mode Settings on the TI-89 Family, TI-92 Family and Voyage™ 200 Graphing Calculators.
...to select different settings which will apply to all exponential formats.Internally, the device calculates and retains all decimal results with up to 14 significant digits (although a maximum of 12 are displayed).Setting ExampleDescription FIX(0-12)123. (FIX 0)123.5 (FIX 1)123.46 ...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/12130
Solution 10422: Creating Box Plots Using the TI-86.
... plot on the TI-86? The example below will demonstrate how to create a box plot on the TI-86. Data for this example: xStat: {3,5,8,10} fStat: {7,8,14,18} To enter the data into the TI-86: • Enter STAT mode by pressing [2nd] [STAT]. • Press [F2] to select Edit. • Enter the data in the xStat an...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/10422
Solution 10352: Inputting Complex Numbers on the TI-85 or TI-86 Graphing Calculators.
...se,"tooltip":"Create or edit personalization for this component.","type":"sticky"}],"contextItemUri":"sitecore://master/{CBBB2A29-1902-4391-AD2B-F7C8F1447B91}?lang=en&ver=2","custom":{},"displayName":"Link","expandedDisplayName":null Solution 10352: Inputting Complex Numbers on the...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/10352
Solution 10573: Teacher Support for Australian Educators.
...ralia Education & Productivity Solutions Monash Corporate Centre Suite 2A / 750 Blackburn Road Clayton VIC 3169 Australia PO Box 598 Mt Waverley VIC 3149 Australia Teachers Support Line 1300 138 140 Tel: (03) 8540 5200 Fax: (03) 8540 5222 Email: teacher-support@list.ti.com New Zealand Texas Inst...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/10573
Solution 10410: Algorithm for the Solver Function on the TI-85 and TI-86.
...ank and evaluations with positive sign at the top of the graph. The width of this erratic region can be roughly predicted by the formula: 2*R*10^-(14/M) where R is the value of the root and M is the multiplicity of the root. The 14 represents the 14 digit arithmetic of the TI-85. This is on...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/10410
Solution 12109: Accuracy Information for the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
...family, TI-92 family, and Voyage 200 graphing calculators? Computational Accuracy • Floating-point (decimal) values in memory are stored using up to 14 digits with a 3-digit exponent.• For min and max Window variables (xmin, xmax, ymin, ymax, etc.), values using up to 12 digits can be stored. Ot...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/12109
Solution 10449: Using the Interpolate Editor on the TI-85 and TI-86.
...At y2=, input -2 and press [ENTER]. • At x=, input 7 and press [ENTER]. • At y=, press [F5] to solve for the y value. The calculator should display 14 as the solution. Please see the TI-85 and TI-86 guidebooks for additional information. Solution 10449: Using the Interpolate Editor on the TI-...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/10449
Solution 10401: Plotting Points using the TI-85.
...ing the TI-85? The following example will demonstrate how to plot a set of points using the TI-85:Data for this example: xStat: {3,5,8,10}yStat: {7,8,14,18}1) Clear the screen then press [STAT] [F2] [F1] [ENTER] [ENTER].2) The cursor will display after x1= 3) Enter the value after "x1=" Press 3 [...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/10401
Solution 10439: Plotting Points Using the TI-86.
...ing the TI-86? The following example will demonstrate how to plot a set of points using the TI-86:Data for this example:xStat: {3,5,8,10}yStat: {7,8,14,18}Enter the data into the TI-86:• Enter STAT mode by pressing [2nd][STAT].• Press [F2] to select Edit.• Enter the data in the xStat and yStat l...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/10439
Solution 10371: Calculating and Graphing a Linear Regression on the TI-82.
... following example will demonstrate how to calculate and graph a linear regression using the TI-82:Data for this example:xStat: {3,5,8,10}yStat: {7,8,14,18}Enter the data into the TI-82:1) Enter STAT edit mode by pressing [STAT] [1]. 2) Enter the data in the L1 and L2 lists, pressing enter after ...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/10371
Solution 18709: Calculating the gcd() (Greatest Common Divisor) on the TI-85 and TI-86 Graphing Calculators.
...s returned. The syntax is as follows: gcd(valueA,valueB) gcd(listA,listB) Examples: • Find the greatest common divisor for lists A and B: {12,14,16}, {9,7,5} • Find the greatest common divisor for 36 and 280. The gcd() function can be located by following the keystrokes provided below: ...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/18709
Solution 11707: Calculating Linear Regressions on the TI-89 Family, TI-92 Family, and Voyage 200™ Graphing Calculators.
...egression for a given set of data on the TI-89 family, TI-92 family, and Voyage 200. Data for this example. x values: 5, 9, 7, 11 y values: 12, 15, 14, 17 Solution: • Press [APPS][6][3] Press the down arrow twice. (If the Apps Desktop is on, press [APPS], select Data/Matrix Editor, and press ...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/11707
Solution 10215: Polynomial Root Finder and Simultaneous Equation Solver App gives Unexpected Result for the TI-83/84 Plus, TI-89/TI-92/Voyage 200 and the TI-85/TI-86 families of the Graphing line of Calculators.
... (Note: This behavior also applies to the TI-89/TI-92 Plus/Voyage™ 200 Polynomial Root Finder Application and the TI-85/TI-86 Poly feature.) Due to 14-bit calculation in the basecode, in some cases the results returned will contain an imaginary part (often small but sometimes significant) inste...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/10215
Solution 11695: Algorithm Used to Compute a Cubic Polynomial on a TI-85, TI-86, TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
...ation: X = 1.0E-5 * {-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} Y = {-11000, -8200, -5400, -3900, -2400, -1200, -830, 0, 600, 1400, 2300, 4000, 5400, 7900, 10800, 15400, 19000, 24000, 32100} The TI-89 family, TI-92 family, Voyage 200, TI-85, and TI-86 will try to determin...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/11695
Solution 12173: Use of the Approx() Function on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
...x mode. It is equivalent to entering the expression and pressing [Diamond][ENTER] on the Home screen. Examples: approx(π)[ENTER] will return 3.14159 approx({sin(π),cos(π)})[ENTER] will return {0. -1.} Please see the TI-89 family, TI-92 family, and Voyage 200 guidebooks for additional ...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/40304
Solution 28011: Using the Chi-Squared Goodness of Fit Test on the TI-89 Family, TI-92 Plus, or Voyage™ 200 Graphing Calculators.
...e of freedom of 2, follow the steps below to calculate and draw the chi-squared goodness of fit test: List 1: {16,25,22,8,10} List 2: {16.2,21.6,16.2,14.4,12.6} 1) Press [APPS] and press [ENTER] on Statistics with List Editor App. 2) Press [▼] [1] [6] [ENTER]. 3) Press [2] [5] [ENTER]. 4) Press [...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/28011
Solution 11569: Algorithm Used for Finding the Determinant of a Square Matrix on the TI-81, TI-82, TI-83, TI-85, or TI-86.
...g the main diagonal and an upper triangular matrix, U. That is, A = L*U To illustrate this point, consider the matrix, A = [[ 2,-1,0][4,3,-3][8,-14,5]] which can also be expressed as: A = [[1,0,0][2,1,0][4,-2,1]]*[[2,-1,0][0,5,-3][0,0,-1]] Hence, L and U for this ...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/11569