Glossary High School Level Algebra & Trigonometry Glossary English / Urdu Translation of Algebra & Trigonometry terms based on the Coursework for Algebra & Trigonometry Grades 9 to 12. Word-for-word glossaries are used for testing accommodations for ELL/LEP students Last Updated: 08/13/09 THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234 THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234 Education - P-16 Office of Elementary, Middle, Secondary, and Continuing Education and Office of Higher Education Office of Bilingual Education and Foreign Language Studies http://www.emsc.nysed.gov/biling/ THE UNIVERSITY OF THE STATE OF NEW YORK Regents of the University MERRYL H. TISCH, Chancellor, B.A., M.A., Ed.D. ....................................................................... MILTON L. COFIELD, Vice Chancellor, B.S., M.B.A., Ph.D. ......................................................... ROBERT M. BENNETT, Chancellor Emeritus, B.A., M.S. ............................................................... SAUL B. COHEN, B.A., M.A., Ph.D................................................................................................ JAMES C. DAWSON, A.A., B.A., M.S., Ph.D. ................................................................................ ANTHONY S. BOTTAR, B.A., J.D. ................................................................................................... GERALDINE D. CHAPEY, B.A., M.A., Ed.D. ................................................................................. HARRY PHILLIPS, 3rd, B.A., M.S.F.S. ........................................................................................... JOSEPH E. BOWMAN, JR., B.A., M.L.S., M.A., M.Ed., Ed.D......................................................... JAMES R. TALLON, JR., B.A., M.A. ............................................................................................... ROGER TILLES, B.A., J.D. ................................................................................................................ KAREN BROOKS HOPKINS, B.A., M.F.A........................................................................................ CHARLES R. BENDIT, B.A. ............................................................................................................. BETTY A. ROSA, B.A., M.S. in Ed., M.S. in Ed., M.Ed., Ed.D..................................................... LESTER W. YOUNG, JR., B.S., M.S., Ed. D. ..................................................................................... CHRISTINE D. CEA, B.A., M.A., Ph.D. .......................................................................................... WADE S. NORWOOD, B.A. ............................................................................................................. New York Rochester Tonawanda New Rochelle Plattsburgh Syracuse Belle Harbor Hartsdale Albany Binghamton Great Neck Brooklyn Manhattan Bronx Oakland Gardens Staten Island Rochester Interim President of the University and Commissioner of Education CAROLE F. HUXLEY Senior Deputy Commissioner of Education, P–16 JOHANNA DUNCAN-POITIER Associate Commissioner for Curriculum and Instructional Support JEAN STEVENS Coordinator, Office of Bilingual Education and Foreign language Studies PEDRO J. RUIZ Acknowledgements: The New York State Education Department Glossaries for English Language Learners were reviewed and updated during the 2008-2009 school year. We would like to thank in these efforts the New York State Education Department Language BETACs (Spanish, Asian and Haitian Bilingual Education Technical Assistance Centers), the NYS Office of Curriculum, Instruction and Instructional Technology; the New York City Department of Education Office of English Language Learners, and the NYC Department of Education Translation and Interpretation Unit. The State Education Department does not discriminate on the basis of age, color, religion, creed, disability, marital status, veteran status, national origin, race, gender, genetic predisposition or carrier status, or sexual orientation in its educational programs, services and activities. Portions of this publication can be made available in a variety of formats, including brailed, large print or audio tape, upon request. Inquiries concerning this policy of nondiscrimination should be directed to the Department’s Office for Diversity, Ethics, and Access, Room 530, Education Building, Albany, NY 12234. Algebra 2 and Trigonometry English Urdu Problem Solving ûĻđIJ ĴĊ ЙĶúĕĸ Ўņĸ Iûý: ŁIJ /đþĈĵ/ algebraically 9ûIJ ĮŅđĠ G7ûþĂĸ S ûĻđIJ HûIJ đIJ Ĵĸ alternate approach collaborate (ŀК Łļþĸ đŞ GоďĂĔ/ Łù/đİĂĔ/ ŀć ЙĈņĂĻ ΫŅ/) conjecture ¸:/ďĻ/ ďŅďċā constraint ďņİļā critique ûĕņć ΫŅ/ &đý/đý equivalent evaluate ûļŷĻûć explain ĉŅđĘā ûĻđIJ đКûģ Ўņĸ Ĵijė ŁIJ ЙņĶIJ / Йĵŀĸ9ûĬ formulate ķņĹħā generalization đIJ ûļý D/đμ graphically ĉŅđĘā interpret ŁμďļùûĹĻ ŁĬûħĝ/ multiple representations Ã7ďĦ numerically ûĻđIJ ¸ďКûĘĸ observe strategy Āčûļė ûŅ ĀņĚŀěč ĖùûĹņŞ Ĵýûį S ŁĶĹĦ ĀĹijĊ verbally ŁĻûý: parameter 2ŀþĄ 9K/ GоďĂĔ/ Reasoning and Proof Ĵņĵ7 argument axiom ЙĬ9ûħĂĸ ЙúņĶIJ conclusion HûĂĂč/ &ЙĈņĂĻ (ŀК Łļþĸ đŞ GоďĂĔ/ Łù/đİĂĔ/ ŀć ЙĈņĂĻ ΫŅ/) conjecture ¸:/ďĻ/ counterexample Gûąĸ Łý/ŀć discover ûĻđIJ ĀĬûŅ97 0/ŀć /9ŀŞ exact answer explain ĉņĝŀā explore ûĻđIJ Įņİċā T-7686 (Urdu) 1 Algebra 2 and Trigonometry English Urdu ēņIJ HûĦ general case (Ĵņĵ7 ДāûĔ ЭIJ 2ŀþĄ) GоďĂĔ/ Łù/đİĂĔ/ inductive reasoning 2ŀþĄ ЙġĔ/ŀĶý ŁĹĔ9đņĩ informal indirect proof investigate ûĻđIJ Įņİċā justify ûĻđIJ ЙЛņćŀā refute ûĻпŐĿć ЙĈņĂĻ =ŀěĎĸ W ЙĶĕĸ specific result theorem Gûěā/ Communication ŁνĂĔ97 accuracy üĔûļĸ appropriate Āİýûĕĸ challenge p9ûŶ chart ĴěĂĸ &?ŀýđĸ &/ŀК /Ǽć coherent ķЛĬ &ک/97/ comprehension ¸:/ďĻ/ conjecture decoding ŁùûĘIJ Ēĸ9 diagram Ĵijė &ЙIJûč equation 2/Kûĕĸ formula ЙņĶIJ / Йĵŀĸ9ûĬ function ĴĦûĭā graph D/đμ ĉŅđĘā interpretation Ĵņĵ7 Łİġļĸ logical argument ŁμďļùûĹĻ ŁāûņĝûŅ9 mathematical representation Ĵþņŏ Ã7ďĦ numerical tables ûĻđIJ ķĤļĸ organize ЙIJûč outline rationale Įġļĸ reflect ēijĦ Ã9ûņħĸ standard notation T-7686 (Urdu) 2 Algebra 2 and Trigonometry English Urdu ŁĶĹĦ ĀĹijĊ strategy ĀĸпĦ symbol đŅđċā Łijņļijā technical writing 2ûĊпġĚ/ terminology Āņĵŀİħĸ &ŁĂĔ97 validity verbal explanation ĉŅđĘā ŁĻûý: written explanation ĉŅđĘā ÃđŅđċā ğý/K9 Connections ЙŅđĤĻ concept ЙĈņĂĻ &HûĂĂč/ conclusion ûĻđIJ đКûģ Ўņĸ Ĵijė ŁIJ ЙņĶIJ / Йĵŀĸ9ûĬ formulate ŁμďļùûĹĻ ŁĬûħĝ/ multiple representation ЙĻŀĹĻ Ã7ûĸ &ЙĻŀĹĻ ŁħþĠ physical model 9ûIJ ĮŅđĠ S ЙĻŀĹĻ ŁĂņĹIJ procedure quantitative model ŁμďļùûĹĻ representation ŁμďļùûĹĻ Representation ŁμďļùûĹĻ ŁùûŅđþĈĵ/ algebraic representation apply EпĠ/ chart p9ûŶ communicate ûĻđIJ ĴİĂļĸ compare ûĻđIJ ЙĶýûİĸ concept ЙŅđĤĻ diagram Ĵijė &ЙIJûč equation 2/Kûĕĸ ûĻđIJ Įņİċā explore D/đμ graph D/đμ ЙħŅ9Đý ŁμďļùûĹĻ graphical representation ûĻđIJ Įņİċā investigate Йħį/K ŁāûņĝûŅ9 mathematical phenomena T-7686 (Urdu) 3 Algebra 2 and Trigonometry English Urdu ŁμďļùûĹĻ ŁĬûħĝ/ multiple representations organize ûĻđIJ ķĤļĸ physical object Эė Ã7ûĸ đЛĤĸ ŁħþĠ &Йħį/K ŁħþĠ physical phenomena recognize ûļĻûŷЛŞ record ڈ9ûijŅ9 Йħį/K ŁćûĹĔ social phenomena ĀĸпĦ symbol ĀĔđЛĬ &ÉڑûЛŞ table technology Łćŀĵûļijņŏ translate ûĻđIJ ЙĹćđā 9ûIJ ĮŅđĠ 9K/ ēĊ Ã7ďĦ S Number Sense and Operations a+bi form Ĵijė Łý É/ absolute value ĀĹņį ĮĶġĸ complex fraction đĕIJ ЙþIJđĸ complex number 7ďĦ ЙþIJđĸ conjugate 4K: / /ڑŀć direct variation đņĪā ĀĔ/9 e e ûĹĻ 2ŀį ÃđĕIJ fractional exponent i i 7ďĦ Łĵûņč imaginary number index of a radical ĀĔđЛĬ Ã9Ēć inverse variation ŁĶŅďþā ;ŀijħĸ irrational number 7ďĦ ĮĠûĻđņĩ ûĹĻ 2ŀį Łĭļĸ negative exponent nth root 7ûņļý ĺŅ/ operation 9ûIJ ĮŅđĠ S ŁùûŞ pi ĀįûĠ ŁIJ i powers of i ĥýđĹĵ/9Ēć ÃĒIJđĸ principal square root T-7686 (Urdu) 4 Algebra 2 and Trigonometry English Urdu Łù/K99ûIJ procedure 9Ēć radical Ĵijė Ã9Ēć radical form 9KĒĈĸ radicand 7ďĦ ĮĠûĻ rational number ûĻûļý ĮĠûĻ 7ďĦ ŀIJ ûĹĻ üĕĻ S 7ďĦ ŁİņİĊ rationalize a denominator real number ķņįđā ŁĕļùûĔ scientific notation ûĹνĔ sigma ķņįđā ûĹνĔ sigma notation /đþĈĵ/ Algebra ЙĶěĬ abscissa ĀĹņį ĮĶġĸ absolute value 2/Kûĕĸ ĀĹņį ĮĶġĸ absolute value equation ĴĦûĭā ĀĹņį ĮĶġĸ absolute value function 2/KûĕĸûĻ ĀĹņį ĮĶġĸ absolute value inequality adjacent angles ЭŅK/: ĴěĂĸ adjacent sides É9ûļIJ ĴěĂĸ algebraic expression ЙĶĹć Łù/đþĈĵ/ ŁμďļùûĹĻ Łù/đþĈĵ/ algebraic representation 29ŀĚ ŁĭĎĸ / کŀijĘĸ ambiguous case ЙġņĊ amplitude ûĻđIJ ЙŅĒĈā analyze ЙŅK/: angle đŞ Hûİĸ Ã9ûņħĸ ЙŅK/: W GKĒĻ ЙŅK/: angle in standard position angle of depression angle of elevation 7ŀħĚ ¹ŅK/: antilogarithm ķĿāđμŀĵ ďĝ N ĀĹņį ¸:/ďĻ/ approximate value arc length ŁùûþĹĵ ŁIJ ;ŀį arccosine HûĹĂĵ/ ;ŀijħĸ T-7686 (Urdu) 5 Algebra 2 and Trigonometry English Urdu üņć ;ŀijħĸ arcsine ;ûĹĸ ;ŀijħĸ arctangent ijĻ Йþį9 ûIJ Aпĝо/ Ã:/ŀĂĸ ЭĔ GûĹħĂĔ/ ЭIJ SAS area of a parallelogram using SAS ûļĵûijĻ Йþį9 ûIJ ăĶąĸ ЭĔ GûĹħĂĔ/ ЭIJ SAS area of a triangle using SAS ЙĶĕĶĔ ŁýûĕĊ arithmetic sequence ĴĕĶĕā ŁýûĕĊ arithmetic series ЙŅ9ûİĂĸ ¸đù/7 asymptote 7ûņļý base 7ûņļý ŁIJ ĴĦûĭā ķĿāđμŀĵ base of a logarithmic function Ãûļý ŁIJ ĴĦûĭā ĥŅđĔ base of an exponential function ,ûľǼý ŁĹį9 K7 binomial expansion H9ŀņĿā ŁĹį9 K7 binomial theorem 2/Kûĕĸ đġį īěĻ ÃĒIJđĸ ŁIJ ¸đù/7 center-radius equation of a circle ЙŅK/: ÃĒIJđĸ central angle ¸đù/7 circle ĴĦûĭā Łā/đù/7 circular functions ¸ďļļIJ 0đĝ / đĔ Ã7ďĦ coefficient ĴĦûĭā ûIJ ЭŅK/: ķĹĂĸ cofunctions (ЎŅ7ûņļý) 7ûņļý ЙIJđĂĘĸ common base(s) common difference EđĬ ЙIJđĂĘĸ common factor KĒć ЙIJđĂĘĸ ķĿāđμŀĵ ЙIJđĂĘĸ common logarithm ĀþĕĻ ЙIJđĂĘĸ common ratio ûĻđIJ ĴĹijĸ ŀIJ ĥýđĸ completing the square ЙĶĹćđĕIJ ЙþIJđĸ complex fractional expressions üņIJđā ŁIJ ±ŀĶĦûĭā composition of functions 7ŀĔ üIJđĸ compound interest ĴĦûĭā ĴİĂĕĸ constant function HûĹĂĵ/ ĥĠûį cosecant HûĹĂĵ/ cosine HûĹĂĵ/ ;ûĹĸ cotangent ЭŅK/: ŁĹĂč ķК coterminal angles T-7686 (Urdu) 6 Algebra 2 and Trigonometry English Urdu degree of a polynomial W ŁĹį9đņąIJ Йć97 EđĬ ûIJ ±ŀħýđĸ ĴĹijĸ K7 difference of two perfect squares đņĪā ĀĔ/9 direct variation ĒņĹĸ W đĄ/ ЙİĶĊ discriminant domain Эņĵ ЭIJ ĴĦûĭā ΫŅđŐņĸŀļμđŏ double and half angle formulas for 2ûņĶIJ ЭŅK/: īěĻ 9K/ ÉđКK7 trigonometric functions 7ûņļý ÃđКK7 double root e e 2/Kûĕĸ equation Gûijė/ D7/đĂĸ equivalent forms ĀĹņį ĴĹijĸ exact value ğņĕý Ã7ďĦK7 expand a binomial explicit definition ĉņĝŀā ĉĝ/K exponential form Ĵijė ĥŅđĔ exponential function ĴĦûĭā ĥŅđĔ extraneous root 7ûņļý ĴĝûĬ Łýđĝ KĒć factor ûĹĻ 2ŀį ÃđĕIJ fractional exponent (ûIJ ĴĦûĭā Ã9K7) 7ďħā frequency (of a periodic function) ĴĦûĭā function ķņįđā ĴĦûĭā function notation ЙĕĶĔ کđŐņĸŀņć geometric sequence ĴĕĶĕā کđŐņĸŀņć geometric series graphical solution of equations ĴĊ ΫĬ/đμ ûIJ 2/Kûĕĸ greatest common factor (GCF) ķĤĦ/ 7ûĦ Łýđĝ KĒć ûIJ ŁāŀľǼý growth factor ŁμďĻ: īěĻ half-life Ŏĕŏ ğč ŁİĬ/ horizontal-line test i i ЙİýûġĂĸ identities ¸9ûļIJ Łù/ďĂý/ ЭIJ ЙŅK/: initial side of an angle T-7686 (Urdu) 7 Algebra 2 and Trigonometry English Urdu ;ŀijħĸ ĴĦûĭā inverse function ĴĦûĭā ;ŀijħĸ کđŐņĸŀļμđŏ inverse trigonometric functions inverse variation 2/đņĪā ;ŀijħĸ Law of Cosines IŀĻûį ûIJ HûĹĂĵ/ IŀĻûį ûIJ üņć Law of Sines laws of exponents ĺņĻ/ŀį ЭIJ ûĹĻ ĀįûĠ laws of logarithms ĺņĻ/ŀį ЭIJ ķĿāđμŀĵ linear equation 2/Kûĕĸ Łć97 ΫŅ linear expression ЙĶĹć Łć97 ΫŅ linear system ķĤĻ Łć97 ΫŅ ķĿāđμŀĵ logarithm Ĵijė ķĿāđμŀĵ logarithmic form 2ďĸ ķIJ ЭĔ ķIJ lowest terms nature of the roots ĀņĦŀĻ ŁIJ ±K7ûņļý negative exponent ûĹĻ ĀįûĠ Łĭļĸ nth root ĴĚ/ ĺŅ/ nth term 5пġĚ/ ĺŅ/ <7đμ ΫŅ/ ŁIJ ĴĦûĭā کđŐņĸŀļμđŏ one cycle of a trigonometric function ĴĦûĭā ΫŅ/ ЭĔ ΫŅ/ one-to-one function ĴěĂĸ onto ¸9ûļIJ īĵûĎĸ ûIJ ăĶąĸ ЙŅK/: ЙĂĹùûį opposite side in a right triangle ordinate üņāđĂĶý parabola Ĵijė ÃŀĞņý Āčûļė ûŅ ĀņĚŀěč ĖùûĹņŞ Ĵýûį S (ûIJ ĴĦûĭā)9K7 parameter period (of a function) ĴĦûĭā Ã9K7 periodic function ŁĶŅďþā phase shift ЙĶĹć ŁĹį9đņąIJ polynomial expression ĴĦûĭā ŁĹį9đņąIJ polynomial function ЎņĂįûĠ ŁIJ i powers of i Āčûļė ŁĄ9ŀĩûąņĬ Pythagorean identities ЙŅK/: ŁùûĿāŀŶ quadrantal angle T-7686 (Urdu) 8 Algebra 2 and Trigonometry English Urdu 2/Kûĕĸ Łħýđĸ quadratic equation ЙņĶIJ / Йĵŀĸ9ûĬ Łħýđĸ quadratic formula quadratic inequality 2/KûĕĸûĻ Łħýđĸ quadratic trinomial ŁĹį9 ЙĔ Łħýđĸ Ãđġį ķņĻ radian 2/Kûĕĸ Ã9Đć radical equation ЙĶĹć Ã9Đć radical expression đġį īěĻ radius (ŁIJ ĴĦûĭā ŁĕIJ) ďĊ range (of a function) đĔ Ã7ďĦ ĮĠûĻ rational coefficient 2/Kûĕĸ ĮĠûĻ rational equation ЙĶĹć ĮĠûĻ rational expression 2/KûĕĸûĻ ĮĠûĻ rational inequality ûĻûļý ĮĠûĻ 7ďĦ ŀIJ ûĹĻ üĕĻ S ĴĦûĭā ;ŀijħĸ ЭIJ ÃđŐņĸŀļμđŏ rationalize denominators reciprocal trigonometric functions ĉņĝŀā 9/đijĂĶý recursive definition Йĵ/ŀĊ ¹ŅK/: reference angle ĮĶħā relation ЙĦŀĹĈĸ ŁĶŅďþā replacement set ûĻđIJ ŁμďļùûĹĻ represent đĄ/ ЙİĶĊ 7Kďċĸ restricted domain ЙĈņĂĻ / ¸ďė ĴĚûĊ resultant ÃđŐņĸŀļμđŏ ăĶąĸ ЙŅK/: ЙĹùûį right triangle trigonometry 9Đć ûIJ 2/Kûĕĸ root of an equation (ûIJ ЙŅK/: ŁĕIJ) ĥĠûį ğč secant (of an angle) ĀĸпĦ ŁIJ ûĹνĔ sigma notation üņć W ĴĊ ЙĦŀĹĈĸ sine solution set (ûIJ ЙŅK/: ŁĕIJ) Hûİĸ Ã9ûņħĸ standard position (of an angle) ЙĦŀĹĈĸ ŁĶŅ8 subset ûIJ ĴĚûĊ ЭIJ 2/Kûĕĸ Łħýđĸ sum and product of roots of a quadratic ЙĈņĂĻ 9K/ ĥĹć ĴIJ equation T-7686 (Urdu) 9 Algebra 2 and Trigonometry English Urdu ĥĹć ĴIJ ûIJ ĴĕĶĕā کđŐņĸŀņć sum of a geometric series ĥĹć ĴIJ ûIJ ĴĕĶĕā ŁýûĕĊ sum of an arithmetic series EđĬ 9K/ ĥĹć ĴIJ ЭIJ ĴĦûĭā کđŐņĸŀļμđŏ sum or difference formulas for 2ûņĶIJ ЭIJ trigonometric functions HûĤĻ ûIJ 2/KûĕĸûĻ / 2/Kûĕĸ system of equations/inequalities (ûIJ ЙŅK/: ŁĕIJ) ;ûĹĸ tangent (of an angle) Łćŀĵûļijņŏ technology ĥĶĝ ŁĸûĹĂĊ/ ûIJ ЙŅK/: terminal side of an angle transformation ŁĂņК* / ŁĶŅŀċā transformations of functions and ĮĶħā 9K/ ĴĦûĭā 2пŅŀċā ŁIJ relations trigonometric equation 2/Kûĕĸ کđŐņĸŀļμđŏ trigonometric functions ĴĦûĭā کđŐņĸŀļμđŏ ¸đù/7 ŁùûIJ/ unit circle đņĪā variable ЙņĂĹĔ vector Ŏĕņŏ ğč Ã7ŀĹĦ vertical line test đĭĚ ûIJ ĴĦûĭā ŁĕIJ zero of a function ĀņĚûč ŁIJ ĴĚûĊ đĭĚ zero product property ÃđŐņĸŀņć Geometry ĀĹņį ĮĶġĸ absolute value 2/Kûĕĸ ĀĹņį ĮĶġĸ absolute value equation absolute value inequality 2/KûĕĸûĻ ĀĹņį ĮĶġĸ angle in standard position đŞ Hûİĸ Ã9ûņħĸ ЙŅK/: W GKĒĻ ЙŅK/: W 7ŀħĚ ЙŅK/: angle of depression angle of elevation area of a parallelogram using SAS ijĻ Йþį9 ûIJ Aпĝо/ Ã:/ŀĂĸ ЭĔ GûĹħĂĔ/ ЭIJ SAS ûļĵûijĻ Йþį9 ûIJ ăĶąĸ ЭĔ GûĹħĂĔ/ ЭIJ SAS area of a triangle using SAS ¸đù/7 circle ¸ďļļIJ 0đĝ / đĔ Ã7ďĦ coefficient ĴĦûĭā function T-7686 (Urdu) 10 Algebra 2 and Trigonometry English Urdu ķņĹħā generalize کđŐņĸŀņć ŁIJ ĴĦûĭā Gŀμ geometric representation of the circular ŁμďļùûĹĻ function D/đμ ûIJ ĮĶħā graph of a relation D/đμ ЙħŅ9Đý ŁμďļùûĹĻ graphical representation ĴĊ ΫĬ/đμ ûIJ 2/Kûĕĸ graphical solution of equations investigate ûĻđIJ Įņİċā ordered pair /ڑŀć Łþņāđā Ĵijė ÃŀĞņý parabola rational coefficient đĔ Ã7ďĦ ĮĠûĻ rectangular coordinates 7ďċĸ ŁĶņġĂĕĸ ĮĶħā relation 9Đć ûIJ 2/Kûĕĸ root of an equation Aûġį ûIJ ¸đù/7 sector of a circle slope Iпľڈ triangle ăĶąĸ vertex ;/9 9ŀěā ĴĹĦ S visualization ĖùûĹņŞ Measurement arc length ŁùûþĹĵ ŁIJ ;ŀį degree measure ĖùûĹņŞ ŁIJ Йć97 ĖùûĹņŞ ŁIJ ЙŅK/: ÃĒIJđĸ measure of central angle Ŏļĸ minute ĖùûĹņŞ Ãđġį ķņĻ radian measure GûĹĂĊ/ 9K/ 2ûŅ9ûĹė Statistics and Probability at least ķIJ ЭĔ ķIJ at most ¸7ûŅ: ЭĔ ¸7ûŅ: Bernouli experiments 2ûýđĈā ŁĵŀĻđý ЙĻŀĹĻ 9/ďþĻûć biased sample ŁýŀĶĔK7 bimodal ЙņĶIJ ŁĵûĹĂĊ/ ŁĹį9K7 binomial probability formula T-7686 (Urdu) 11 Algebra 2 and Trigonometry English Urdu bivariate data ûŐҏ ڈđņĪĂĸK7 central tendency Iûċć9 ÃĒIJđĸ combination 4/ĒĂĸ/ üņIJđā Йħį/K üIJđĸ compound event ¸:/ďĻ/ conjecture controlled experiment ЙýđĈā ŁĶýûİā correlation coefficient ĮĶħā ûIJ ¸ďļļIJ 0đĝ / đĔ Ã7ďĦ exactly GŀĚ/ ЭIJ ŁĂļμ N ûļņİŅ experimental probability GûĹĂĊ/ ŁāûýđĈā Counting Principle 4/97/ Łù/9K extrapolate (ûIJ ЙĦŀĹĈĸ ЭIJ ûŐŅ )ڈ7ďħā frequency (of a data set) ķņĕİā ŁIJ 7ďħā frequency distribution ķņĕİā Ўņĸ uKđμ ŁIJ 7ďħā grouped frequency distributions ĀĔđЛĬ Ўņĸ 2ûŅ9ûĹė index in statistics ûĻđIJ 4/9ďĻ/ interpolate 7: ĥņýđā ĺņý interquartile range ğč ŁĂħć9 ûIJ ±ŀħýđĸ ķIJ ЭĔ ķIJ least squares regression line ğč ûIJ Āİýûġĸ ĺŅđĂЛý line of best fit Āħć9 Łć97 ΫŅ linear regression ğĔK/ mean ĖùûĹņŞ ŁIJ Iûċć9 ÃĒIJđĸ measure of central tendency ĖùûĹņŞ ŁIJ 9ûĘĂĻ/ measures of dispersion median ğĔK mode ¸7ûĦ normal curve ,ûijĿć ¸ďĦûįûý normal distribution ķņĕİā ¸ďĦûįûý ¸ďКûĘĸ observation ЙņĻKđņý outlier ăĶąĸ ûIJ ĴijĔûŞ Pascal's Triangle ЙŅďĚ percentile üņāđā ŁIJ Йĵ7ûþā permutation GûĹĂĊ/ probability T-7686 (Urdu) 12 Algebra 2 and Trigonometry English Urdu ĥņýđā quartiles ЙĻŀĹĻ üņāđāпý random sample (ŁIJ ûŐŅ ڈŁĕIJ) ďĊ range (of a data set) 2/Kûĕĸ ŁĂħć9 regression equation Gڈûĸ ŁĂħć9 regression model Йνć ЙĻŀĹĻ sample space pпŞ đĘĂļĸ scatter plot (Ã7ûý*) D/đċĻ/ Ã9ûņħĸ standard deviation (population) (ЙĻŀĹĻ) D/đċĻ/ Ã9ûņħĸ standard deviation (sample) 2ûŅ9ûĹė statistics ÉKđĔ survey Łćŀĵûļijņŏ technology GûĹĂĊ/ ŁāûŅđĤĻ theoretical probability univariate data ûŐҏ ڈđņĪĂĸ ΫŅ variance (population) (Ã7ûý*) 2đùûĪĸ (ЙĻŀĹĻ) 2đùûĪĸ variance (sample) T-7686 (Urdu) 13
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