Views
10 months ago

CLASS_11_MATHS_SOLUTIONS_NCERT

Class XI Chapter 15 –

Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ 1 1797.76 50 1 3.54 50 0.07 Standard deviation Length 0.07 0.26 1 Standard deviation 0.26 C.V.(Length) = 100 100 6.13 Mean 4.24 50 50 2 i1 i i1 i 1 50 1 i1 i y 261, y 1457.6 Mean, y= y 261 5.22 N 50 50 2 1 2 Variance y -y 1 i N i1 1 50 2 yi-5.22 50 i1 1 50 2 yi 10.44y i 27.24 50 i1 1 50 50 2 yi 10.44 yi 27.24 50 50 i1 i1 1 1457.6 10.44 (261) 1362 50 1 2819.6 2724.84 50 1 94.76 50 1.89 2 Standard deviation Weight 1.89 1.37 Standard deviation 1.37 C.V.(Weight) = 100 100 26.24 Mean 5.22 Thus, C.V. of weights is greater than the C.V. of lengths. Therefore, weights vary more than the lengths Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ Miscellaneous Exercise Question 1: The mean and variance of eight observations are 9 and 9.25, respectively. If six of the observations are 6, 7, 10, 12, 12 and 13, find the remaining two observations. Solution 1: Let the remaining two observations be x and y. Therefore, the observations are 6, 7, 10, 12, 12, 13, x, y. 6+7+10+12+12+13+x+y Mean, x= 9 8 60 x y 72 x y12 ...... 1 1 8 2 variance=9.25= x n i x i1 1 9.25 3 2 1 3 4 29 2 9 8 1 2 2 9.25 9 4 1 9 9 16 x y 1812 162 8 ..... using 1 1 2 2 9.25 48 x y 216 162 8 1 2 2 9.25 x y 6 8 2 2 x y 80 .... 2 2 2 x y x y 2 2 2 2 2 2 From (1), we obtain x2 + y2 + 2xy = 144 …(3) From (2) and (3), we obtain 2xy = 64 … (4) Subtracting (4) from (2), we obtain x2 + y2 – 2xy = 80 – 64 = 16 ⇒ x – y = ± 4 … (5) Therefore, from (1) and (5), we obtain x = 8 and y = 4, when x – y = 4 x = 4 and y = 8, when x – y = –4 Thus, the remaining observations are 4 and 8. Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

  • Page 1 and 2:

    Class XI Chapter 1 - Sets Maths ___

  • Page 3 and 4:

    Class XI Chapter 1 - Sets Maths ___

  • Page 5 and 6:

    Class XI Chapter 1 - Sets Maths ___

  • Page 7 and 8:

    Class XI Chapter 1 - Sets Maths ___

  • Page 9 and 10:

    Class XI Chapter 1 - Sets Maths ___

  • Page 11 and 12:

    Class XI Chapter 1 - Sets Maths ___

  • Page 13 and 14:

    Class XI Chapter 1 - Sets Maths ___

  • Page 15 and 16:

    Class XI Chapter 1 - Sets Maths ___

  • Page 17 and 18:

    Class XI Chapter 1 - Sets Maths ___

  • Page 19 and 20:

    Class XI Chapter 1 - Sets Maths ___

  • Page 21 and 22:

    Class XI Chapter 1 - Sets Maths ___

  • Page 23 and 24:

    Class XI Chapter 1 - Sets Maths ___

  • Page 25 and 26:

    Class XI Chapter 1 - Sets Maths ___

  • Page 27 and 28:

    Class XI Chapter 1 - Sets Maths ___

  • Page 29 and 30:

    Class XI Chapter 1 - Sets Maths ___

  • Page 31 and 32:

    Class XI Chapter 1 - Sets Maths ___

  • Page 33 and 34:

    Class XI Chapter 1 - Sets Maths ___

  • Page 35 and 36:

    Class XI Chapter 1 - Sets Maths ___

  • Page 37 and 38:

    Class XI Chapter 1 - Sets Maths ___

  • Page 39 and 40:

    Class XI Chapter 1 - Sets Maths ___

  • Page 41 and 42:

    Class XI Chapter 1 - Sets Maths ___

  • Page 43 and 44:

    Class XI Chapter 2 - Relations and

  • Page 45 and 46:

    Class XI Chapter 2 - Relations and

  • Page 47 and 48:

    Class XI Chapter 2 - Relations and

  • Page 49 and 50:

    Class XI Chapter 2 - Relations and

  • Page 51 and 52:

    Class XI Chapter 2 - Relations and

  • Page 53 and 54:

    Class XI Chapter 2 - Relations and

  • Page 55 and 56:

    Class XI Chapter 2 - Relations and

  • Page 57 and 58:

    Class XI Chapter 2 - Relations and

  • Page 59 and 60:

    Class XI Chapter 2 - Relations and

  • Page 61 and 62:

    Class XI Chapter 3 - Trigonometric

  • Page 63 and 64:

    Class XI Chapter 3 - Trigonometric

  • Page 65 and 66:

    Class XI Chapter 3 - Trigonometric

  • Page 67 and 68:

    Class XI Chapter 3 - Trigonometric

  • Page 69 and 70:

    Class XI Chapter 3 - Trigonometric

  • Page 71 and 72:

    Class XI Chapter 3 - Trigonometric

  • Page 73 and 74:

    Class XI Chapter 3 - Trigonometric

  • Page 75 and 76:

    Class XI Chapter 3 - Trigonometric

  • Page 77 and 78:

    Class XI Chapter 3 - Trigonometric

  • Page 79 and 80:

    Class XI Chapter 3 - Trigonometric

  • Page 81 and 82:

    Class XI Chapter 3 - Trigonometric

  • Page 83 and 84:

    Class XI Chapter 3 - Trigonometric

  • Page 85 and 86:

    Class XI Chapter 3 - Trigonometric

  • Page 87 and 88:

    Class XI Chapter 3 - Trigonometric

  • Page 89 and 90:

    Class XI Chapter 3 - Trigonometric

  • Page 91 and 92:

    Class XI Chapter 3 - Trigonometric

  • Page 93 and 94:

    Class XI Chapter 3 - Trigonometric

  • Page 95 and 96:

    Class XI Chapter 3 - Trigonometric

  • Page 97 and 98:

    Class XI Chapter 3 - Trigonometric

  • Page 99 and 100:

    Class XI Chapter 4 - Principle of M

  • Page 101 and 102:

    Class XI Chapter 4 - Principle of M

  • Page 103 and 104:

    Class XI Chapter 4 - Principle of M

  • Page 105 and 106:

    Class XI Chapter 4 - Principle of M

  • Page 107 and 108:

    Class XI Chapter 4 - Principle of M

  • Page 109 and 110:

    Class XI Chapter 4 - Principle of M

  • Page 111 and 112:

    Class XI Chapter 4 - Principle of M

  • Page 113 and 114:

    Class XI Chapter 4 - Principle of M

  • Page 115 and 116:

    Class XI Chapter 4 - Principle of M

  • Page 117 and 118:

    Class XI Chapter 4 - Principle of M

  • Page 119 and 120:

    Class XI Chapter 4 - Principle of M

  • Page 121 and 122:

    Class XI Chapter 4 - Principle of M

  • Page 123 and 124:

    Class XI Chapter 4 - Principle of M

  • Page 125 and 126:

    Class XI Chapter 5 - Complex Number

  • Page 127 and 128:

    Class XI Chapter 5 - Complex Number

  • Page 129 and 130:

    Class XI Chapter 5 - Complex Number

  • Page 131 and 132:

    Class XI Chapter 5 - Complex Number

  • Page 133 and 134:

    Class XI Chapter 5 - Complex Number

  • Page 135 and 136:

    Class XI Chapter 5 - Complex Number

  • Page 137 and 138:

    Class XI Chapter 5 - Complex Number

  • Page 139 and 140:

    Class XI Chapter 5 - Complex Number

  • Page 141 and 142:

    Class XI Chapter 5 - Complex Number

  • Page 143 and 144:

    Class XI Chapter 5 - Complex Number

  • Page 145 and 146:

    Class XI Chapter 5 - Complex Number

  • Page 147 and 148:

    Class XI Chapter 5 - Complex Number

  • Page 149 and 150:

    Class XI Chapter 5 - Complex Number

  • Page 151 and 152:

    Class XI Chapter 5 - Complex Number

  • Page 153 and 154:

    Class XI Chapter 5 - Complex Number

  • Page 155 and 156:

    Class XI Chapter 6 - Linear Inequal

  • Page 157 and 158:

    Class XI Chapter 6 - Linear Inequal

  • Page 159 and 160:

    Class XI Chapter 6 - Linear Inequal

  • Page 161 and 162:

    Class XI Chapter 6 - Linear Inequal

  • Page 163 and 164:

    Class XI Chapter 6 - Linear Inequal

  • Page 165 and 166:

    Class XI Chapter 6 - Linear Inequal

  • Page 167 and 168:

    Class XI Chapter 6 - Linear Inequal

  • Page 169 and 170:

    Class XI Chapter 6 - Linear Inequal

  • Page 171 and 172:

    Class XI Chapter 6 - Linear Inequal

  • Page 173 and 174:

    Class XI Chapter 6 - Linear Inequal

  • Page 175 and 176:

    Class XI Chapter 6 - Linear Inequal

  • Page 177 and 178:

    Class XI Chapter 6 - Linear Inequal

  • Page 179 and 180:

    Class XI Chapter 6 - Linear Inequal

  • Page 181 and 182:

    Class XI Chapter 6 - Linear Inequal

  • Page 183 and 184:

    Class XI Chapter 6 - Linear Inequal

  • Page 185 and 186:

    Class XI Chapter 6 - Linear Inequal

  • Page 187 and 188:

    Class XI Chapter 6 - Linear Inequal

  • Page 189 and 190:

    Class XI Chapter 6 - Linear Inequal

  • Page 191 and 192:

    Class XI Chapter 6 - Linear Inequal

  • Page 193 and 194:

    Class XI Chapter 6 - Linear Inequal

  • Page 195 and 196:

    Class XI Chapter 6 - Linear Inequal

  • Page 197 and 198:

    Class XI Chapter 7 - Permutation an

  • Page 199 and 200:

    Class XI Chapter 7 - Permutation an

  • Page 201 and 202:

    Class XI Chapter 7 - Permutation an

  • Page 203 and 204:

    Class XI Chapter 7 - Permutation an

  • Page 205 and 206:

    Class XI Chapter 7 - Permutation an

  • Page 207 and 208:

    Class XI Chapter 7 - Permutation an

  • Page 209 and 210:

    Class XI Chapter 7 - Permutation an

  • Page 211 and 212:

    Class XI Chapter 7 - Permutation an

  • Page 213 and 214:

    Class XI Chapter 7 - Permutation an

  • Page 215 and 216:

    Class XI Chapter 7 - Permutation an

  • Page 217 and 218:

    Class XI Chapter 7 - Permutation an

  • Page 219 and 220:

    Class XI Chapter 8 - Binomial Theor

  • Page 221 and 222:

    Class XI Chapter 8 - Binomial Theor

  • Page 223 and 224:

    Class XI Chapter 8 - Binomial Theor

  • Page 225 and 226:

    Class XI Chapter 8 - Binomial Theor

  • Page 227 and 228:

    Class XI Chapter 8 - Binomial Theor

  • Page 229 and 230:

    Class XI Chapter 8 - Binomial Theor

  • Page 231 and 232:

    Class XI Chapter 8 - Binomial Theor

  • Page 233 and 234:

    Class XI Chapter 8 - Binomial Theor

  • Page 235 and 236:

    Class XI Chapter 8 - Binomial Theor

  • Page 237 and 238:

    Class XI Chapter 8 - Binomial Theor

  • Page 239 and 240:

    Class XI Chapter 8 - Binomial Theor

  • Page 241 and 242:

    Class XI Chapter 9 - Sequences and

  • Page 243 and 244:

    Class XI Chapter 9 - Sequences and

  • Page 245 and 246:

    Class XI Chapter 9 - Sequences and

  • Page 247 and 248:

    Class XI Chapter 9 - Sequences and

  • Page 249 and 250:

    Class XI Chapter 9 - Sequences and

  • Page 251 and 252:

    Class XI Chapter 9 - Sequences and

  • Page 253 and 254:

    Class XI Chapter 9 - Sequences and

  • Page 255 and 256:

    Class XI Chapter 9 - Sequences and

  • Page 257 and 258:

    Class XI Chapter 9 - Sequences and

  • Page 259 and 260:

    Class XI Chapter 9 - Sequences and

  • Page 261 and 262:

    Class XI Chapter 9 - Sequences and

  • Page 263 and 264:

    Class XI Chapter 9 - Sequences and

  • Page 265 and 266:

    Class XI Chapter 9 - Sequences and

  • Page 267 and 268:

    Class XI Chapter 9 - Sequences and

  • Page 269 and 270:

    Class XI Chapter 9 - Sequences and

  • Page 271 and 272:

    Class XI Chapter 9 - Sequences and

  • Page 273 and 274:

    Class XI Chapter 9 - Sequences and

  • Page 275 and 276:

    Class XI Chapter 9 - Sequences and

  • Page 277 and 278:

    Class XI Chapter 9 - Sequences and

  • Page 279 and 280:

    Class XI Chapter 9 - Sequences and

  • Page 281 and 282:

    Class XI Chapter 9 - Sequences and

  • Page 283 and 284:

    Class XI Chapter 9 - Sequences and

  • Page 285 and 286:

    Class XI Chapter 9 - Sequences and

  • Page 287 and 288:

    Class XI Chapter 9 - Sequences and

  • Page 289 and 290:

    Class XI Chapter 9 - Sequences and

  • Page 291 and 292:

    Class XI Chapter 9 - Sequences and

  • Page 293 and 294:

    Class XI Chapter 9 - Sequences and

  • Page 295 and 296:

    Class XI Chapter 9 - Sequences and

  • Page 297 and 298:

    Class XI Chapter 9 - Sequences and

  • Page 299 and 300:

    Class XI Chapter 9 - Sequences and

  • Page 301 and 302:

    Class XI Chapter 9 - Sequences and

  • Page 303 and 304:

    Class XI Chapter 9 - Sequences and

  • Page 305 and 306:

    Class XI Chapter 9 - Sequences and

  • Page 307 and 308:

    Class XI Chapter 9 - Sequences and

  • Page 309 and 310:

    Class XI Chapter 9 - Sequences and

  • Page 311 and 312:

    Class XI Chapter 9 - Sequences and

  • Page 313 and 314:

    Class XI Chapter 10 - Straight Line

  • Page 315 and 316:

    Class XI Chapter 10 - Straight Line

  • Page 317 and 318:

    Class XI Chapter 10 - Straight Line

  • Page 319 and 320:

    Class XI Chapter 10 - Straight Line

  • Page 321 and 322:

    Class XI Chapter 10 - Straight Line

  • Page 323 and 324:

    Class XI Chapter 10 - Straight Line

  • Page 325 and 326:

    Class XI Chapter 10 - Straight Line

  • Page 327 and 328:

    Class XI Chapter 10 - Straight Line

  • Page 329 and 330:

    Class XI Chapter 10 - Straight Line

  • Page 331 and 332:

    Class XI Chapter 10 - Straight Line

  • Page 333 and 334:

    Class XI Chapter 10 - Straight Line

  • Page 335 and 336:

    Class XI Chapter 10 - Straight Line

  • Page 337 and 338:

    Class XI Chapter 10 - Straight Line

  • Page 339 and 340:

    Class XI Chapter 10 - Straight Line

  • Page 341 and 342:

    Class XI Chapter 10 - Straight Line

  • Page 343 and 344:

    Class XI Chapter 10 - Straight Line

  • Page 345 and 346:

    Class XI Chapter 10 - Straight Line

  • Page 347 and 348:

    Class XI Chapter 10 - Straight Line

  • Page 349 and 350:

    Class XI Chapter 10 - Straight Line

  • Page 351 and 352:

    Class XI Chapter 10 - Straight Line

  • Page 353 and 354:

    Class XI Chapter 10 - Straight Line

  • Page 355 and 356:

    Class XI Chapter 10 - Straight Line

  • Page 357 and 358:

    Class XI Chapter 10 - Straight Line

  • Page 359 and 360:

    Class XI Chapter 10 - Straight Line

  • Page 361 and 362:

    Class XI Chapter 10 - Straight Line

  • Page 363 and 364:

    Class XI Chapter 10 - Straight Line

  • Page 365 and 366:

    Class XI Chapter 10 - Straight Line

  • Page 367 and 368:

    Class XI Chapter 10 - Straight Line

  • Page 369 and 370:

    Class XI Chapter 10 - Straight Line

  • Page 371 and 372:

    Class XI Chapter 10 - Straight Line

  • Page 373 and 374:

    Class XI Chapter 11 - Conic Section

  • Page 375 and 376:

    Class XI Chapter 11 - Conic Section

  • Page 377 and 378:

    Class XI Chapter 11 - Conic Section

  • Page 379 and 380:

    Class XI Chapter 11 - Conic Section

  • Page 381 and 382:

    Class XI Chapter 11 - Conic Section

  • Page 383 and 384:

    Class XI Chapter 11 - Conic Section

  • Page 385 and 386:

    Class XI Chapter 11 - Conic Section

  • Page 387 and 388:

    Class XI Chapter 11 - Conic Section

  • Page 389 and 390:

    Class XI Chapter 11 - Conic Section

  • Page 391 and 392:

    Class XI Chapter 11 - Conic Section

  • Page 393 and 394:

    Class XI Chapter 11 - Conic Section

  • Page 395 and 396:

    Class XI Chapter 11 - Conic Section

  • Page 397 and 398:

    Class XI Chapter 11 - Conic Section

  • Page 399 and 400:

    Class XI Chapter 11 - Conic Section

  • Page 401 and 402:

    Class XI Chapter 11 - Conic Section

  • Page 403 and 404:

    Class XI Chapter 11 - Conic Section

  • Page 405 and 406:

    Class XI Chapter 11 - Conic Section

  • Page 407 and 408:

    Class XI Chapter 11 - Conic Section

  • Page 409 and 410:

    Class XI Chapter 11 - Conic Section

  • Page 411 and 412:

    Class XI Chapter 11 - Conic Section

  • Page 413 and 414:

    Class XI Chapter 11 - Conic Section

  • Page 415 and 416:

    Class XI Chapter 11 - Conic Section

  • Page 417 and 418:

    Class XI Chapter 12 - Introduction

  • Page 419 and 420:

    Class XI Chapter 12 - Introduction

  • Page 421 and 422:

    Class XI Chapter 12 - Introduction

  • Page 423 and 424:

    Class XI Chapter 12 - Introduction

  • Page 425 and 426:

    Class XI Chapter 12 - Introduction

  • Page 427 and 428:

    Class XI Chapter 12 - Introduction

  • Page 429 and 430:

    Class XI Chapter 12 - Introduction

  • Page 431 and 432:

    Class XI Chapter 13 - Limits and De

  • Page 433 and 434:

    Class XI Chapter 13 - Limits and De

  • Page 435 and 436:

    Class XI Chapter 13 - Limits and De

  • Page 437 and 438:

    Class XI Chapter 13 - Limits and De

  • Page 439 and 440:

    Class XI Chapter 13 - Limits and De

  • Page 441 and 442:

    Class XI Chapter 13 - Limits and De

  • Page 443 and 444:

    Class XI Chapter 13 - Limits and De

  • Page 445 and 446:

    Class XI Chapter 13 - Limits and De

  • Page 447 and 448:

    Class XI Chapter 13 - Limits and De

  • Page 449 and 450:

    Class XI Chapter 13 - Limits and De

  • Page 451 and 452:

    Class XI Chapter 13 - Limits and De

  • Page 453 and 454:

    Class XI Chapter 13 - Limits and De

  • Page 455 and 456:

    Class XI Chapter 13 - Limits and De

  • Page 457 and 458:

    Class XI Chapter 13 - Limits and De

  • Page 459 and 460:

    Class XI Chapter 13 - Limits and De

  • Page 461 and 462:

    Class XI Chapter 13 - Limits and De

  • Page 463 and 464:

    Class XI Chapter 13 - Limits and De

  • Page 465 and 466:

    Class XI Chapter 13 - Limits and De

  • Page 467 and 468:

    Class XI Chapter 13 - Limits and De

  • Page 469 and 470:

    Class XI Chapter 13 - Limits and De

  • Page 471 and 472:

    Class XI Chapter 13 - Limits and De

  • Page 473 and 474:

    Class XI Chapter 13 - Limits and De

  • Page 475 and 476:

    Class XI Chapter 13 - Limits and De

  • Page 477 and 478: Class XI Chapter 13 - Limits and De
  • Page 479 and 480: Class XI Chapter 13 - Limits and De
  • Page 481 and 482: Class XI Chapter 13 - Limits and De
  • Page 483 and 484: Class XI Chapter 13 - Limits and De
  • Page 485 and 486: Class XI Chapter 13 - Limits and De
  • Page 487 and 488: Class XI Chapter 13 - Limits and De
  • Page 489 and 490: Class XI Chapter 13 - Limits and De
  • Page 491 and 492: Class XI Chapter 14 - Mathematical
  • Page 493 and 494: Class XI Chapter 14 - Mathematical
  • Page 495 and 496: Class XI Chapter 14 - Mathematical
  • Page 497 and 498: Class XI Chapter 14 - Mathematical
  • Page 499 and 500: Class XI Chapter 14 - Mathematical
  • Page 501 and 502: Class XI Chapter 14 - Mathematical
  • Page 503 and 504: Class XI Chapter 14 - Mathematical
  • Page 505 and 506: Class XI Chapter 14 - Mathematical
  • Page 507 and 508: Class XI Chapter 15 - Statistics Ma
  • Page 509 and 510: Class XI Chapter 15 - Statistics Ma
  • Page 511 and 512: Class XI Chapter 15 - Statistics Ma
  • Page 513 and 514: Class XI Chapter 15 - Statistics Ma
  • Page 515 and 516: Class XI Chapter 15 - Statistics Ma
  • Page 517 and 518: Class XI Chapter 15 - Statistics Ma
  • Page 519 and 520: Class XI Chapter 15 - Statistics Ma
  • Page 521 and 522: Class XI Chapter 15 - Statistics Ma
  • Page 523 and 524: Class XI Chapter 15 - Statistics Ma
  • Page 525 and 526: Class XI Chapter 15 - Statistics Ma
  • Page 527: Class XI Chapter 15 - Statistics Ma
  • Page 531 and 532: Class XI Chapter 15 - Statistics Ma
  • Page 533 and 534: Class XI Chapter 15 - Statistics Ma
  • Page 535: Class XI Chapter 15 - Statistics Ma
Bukhovtsev-et-al-Problems-in-Elementary-Physics
basic_engineering_mathematics0
Stability Of Solitary Waves Of A Generalized Two-Component ...
Teaching & Learning Plans - Project Maths
t - Eötvös Loránd University
IIT-JEE 2010 - Career Point
ICfJff' - Al Kossow's Bitsavers
MARYLAND Orbital Maneuvering
PDF file
Original - University of Toronto Libraries
Untitled
Maths on track! - STEPS | Engineers Ireland
103 Trigonometry Problems
The Philosophical magazine; a journal of theoretical ... - Index of
Advanced Engineering Mathematics 10th Edition
THE MATHS TEACHER'S HANDBOOK - Arvind Gupta
View report - eResearch SA
March 2011 - Career Point
The Cubic Spline - STEM2
XT – MATHS Grade 11 – Equations
SOME ELEMENTARY INEQUALITIES IN GAS DYNAMICS EQUATION
Elliptic variational problems with critical exponent
Convergence to Stochastic Integrals involving Non-linear Functions
A Nonlinear Heat Equation with Temperature-Dependent ... - UFRJ
Rudin's Principles of Mathematical Analysis: Solutions to ... - MIT
Optimal Bounds on the Kuramoto-Sivashinsky Equation Felix Otto ...
Read full issue - Canadian Mathematical Society
Einstein's 1905 paper
thief of ice crime