Importar y analizar datos de examenes de alumnos
library(readr)
library(modeest)datos = read.csv(file="https://raw.githubusercontent.com/rpizarrog/probabilidad-y-estad-stica/master/2023/datos/exams.csv")
datos## gender race.ethnicity parental.level.of.education lunch
## 1 male group A high school standard
## 2 female group D some high school free/reduced
## 3 male group E some college free/reduced
## 4 male group B high school standard
## 5 male group E associate's degree standard
## 6 female group D high school standard
## 7 female group A bachelor's degree standard
## 8 male group E some college standard
## 9 male group D high school standard
## 10 male group C some college free/reduced
## 11 male group E some college standard
## 12 female group D high school standard
## 13 male group D associate's degree standard
## 14 male group C high school standard
## 15 male group E some high school standard
## 16 male group E associate's degree free/reduced
## 17 male group B high school standard
## 18 female group C associate's degree standard
## 19 female group C associate's degree free/reduced
## 20 male group C some college free/reduced
## 21 female group C associate's degree standard
## 22 male group C associate's degree standard
## 23 male group B some college standard
## 24 female group B some college free/reduced
## 25 male group E some high school free/reduced
## 26 male group C high school free/reduced
## 27 female group C some high school standard
## 28 male group E high school standard
## 29 female group B high school standard
## 30 female group A some high school free/reduced
## 31 male group B some college standard
## 32 male group A bachelor's degree free/reduced
## 33 male group A some high school free/reduced
## 34 female group B associate's degree standard
## 35 female group B bachelor's degree standard
## 36 female group A bachelor's degree standard
## 37 female group C some college standard
## 38 male group B high school free/reduced
## 39 female group B some college free/reduced
## 40 male group E associate's degree standard
## 41 female group B master's degree free/reduced
## 42 male group D high school standard
## 43 male group E high school standard
## 44 female group C master's degree standard
## 45 male group E high school standard
## 46 male group C bachelor's degree standard
## 47 male group C associate's degree free/reduced
## 48 female group E some high school standard
## 49 female group D high school standard
## 50 male group C associate's degree free/reduced
## 51 male group D high school standard
## 52 female group C some high school free/reduced
## 53 female group C associate's degree standard
## 54 female group C high school free/reduced
## 55 male group D high school free/reduced
## 56 female group C some college standard
## 57 female group C bachelor's degree standard
## 58 male group D associate's degree standard
## 59 female group D some college free/reduced
## 60 male group E some high school standard
## 61 male group D some college free/reduced
## 62 female group E some high school standard
## 63 male group E some high school standard
## 64 male group A bachelor's degree standard
## 65 male group D master's degree standard
## 66 female group C some high school free/reduced
## 67 male group C high school standard
## 68 female group D some high school free/reduced
## 69 male group B high school standard
## 70 female group C high school standard
## 71 female group C associate's degree standard
## 72 male group C associate's degree standard
## 73 female group B some college standard
## 74 female group C some high school standard
## 75 male group B master's degree free/reduced
## 76 female group C high school standard
## 77 female group C some college standard
## 78 female group D high school free/reduced
## 79 male group C associate's degree standard
## 80 male group D some high school standard
## 81 female group B bachelor's degree standard
## 82 female group D some high school free/reduced
## 83 female group C associate's degree free/reduced
## 84 male group B high school standard
## 85 female group B associate's degree free/reduced
## 86 female group C some high school standard
## 87 female group C some college free/reduced
## 88 male group D some college standard
## 89 female group D some college standard
## 90 male group B high school standard
## 91 male group C some college free/reduced
## 92 male group B some high school standard
## 93 female group D master's degree standard
## 94 male group D bachelor's degree standard
## 95 male group B master's degree free/reduced
## 96 female group C high school standard
## 97 female group E associate's degree standard
## 98 male group B high school free/reduced
## 99 male group A some college standard
## 100 male group B associate's degree standard
## 101 male group C some college free/reduced
## 102 male group C some college standard
## 103 male group E high school standard
## 104 male group D high school standard
## 105 female group B some college standard
## 106 female group D bachelor's degree standard
## 107 male group D high school standard
## 108 male group A bachelor's degree standard
## 109 male group B associate's degree standard
## 110 male group C some college free/reduced
## 111 female group C some college standard
## 112 female group D some high school standard
## 113 female group C master's degree standard
## 114 male group A bachelor's degree free/reduced
## 115 male group D high school standard
## 116 male group B associate's degree standard
## 117 female group E some college free/reduced
## 118 male group C associate's degree standard
## 119 male group B bachelor's degree free/reduced
## 120 female group D some high school standard
## 121 female group C high school standard
## 122 female group D bachelor's degree standard
## 123 female group C bachelor's degree standard
## 124 female group C some high school standard
## 125 female group D associate's degree standard
## 126 male group C master's degree standard
## 127 male group D associate's degree standard
## 128 male group C some high school standard
## 129 male group E some college standard
## 130 female group D associate's degree free/reduced
## 131 female group E associate's degree free/reduced
## 132 male group C high school standard
## 133 male group B some college standard
## 134 male group D associate's degree standard
## 135 male group E some college standard
## 136 male group C some high school free/reduced
## 137 male group A some college standard
## 138 female group B associate's degree standard
## 139 male group D some college free/reduced
## 140 female group C some high school free/reduced
## 141 male group B associate's degree free/reduced
## 142 female group D some college free/reduced
## 143 female group D bachelor's degree standard
## 144 female group B associate's degree standard
## 145 male group B master's degree standard
## 146 female group B high school free/reduced
## 147 female group B some high school standard
## 148 male group E some college standard
## 149 female group E bachelor's degree standard
## 150 male group A associate's degree free/reduced
## 151 female group C some college standard
## 152 female group C high school free/reduced
## 153 female group B associate's degree standard
## 154 male group D bachelor's degree standard
## 155 female group C associate's degree free/reduced
## 156 female group C some college standard
## 157 male group B high school free/reduced
## 158 female group E associate's degree free/reduced
## 159 female group D associate's degree free/reduced
## 160 male group E some high school free/reduced
## 161 female group D associate's degree standard
## 162 male group D associate's degree free/reduced
## 163 female group C bachelor's degree standard
## 164 female group B some high school standard
## 165 male group A bachelor's degree standard
## 166 female group D bachelor's degree standard
## 167 male group B bachelor's degree standard
## 168 female group B some high school standard
## 169 female group C master's degree standard
## 170 female group A high school standard
## 171 female group B high school standard
## 172 female group D some college standard
## 173 female group C some college free/reduced
## 174 male group A some high school free/reduced
## 175 male group B some college standard
## 176 female group D some college free/reduced
## 177 female group C bachelor's degree standard
## 178 male group B some high school free/reduced
## 179 female group D some college free/reduced
## 180 male group D high school standard
## 181 female group D some high school standard
## 182 female group C some college standard
## 183 female group E bachelor's degree standard
## 184 female group C associate's degree standard
## 185 female group C associate's degree standard
## 186 female group C master's degree standard
## 187 male group B high school standard
## 188 male group E some high school free/reduced
## 189 male group D high school standard
## 190 male group B some high school free/reduced
## 191 male group B some high school standard
## 192 female group B some high school standard
## 193 male group E some high school free/reduced
## 194 female group C associate's degree standard
## 195 female group C bachelor's degree standard
## 196 female group D some high school free/reduced
## 197 male group D bachelor's degree standard
## 198 male group A master's degree free/reduced
## 199 female group B associate's degree standard
## 200 male group D high school standard
## 201 female group D associate's degree standard
## 202 male group E associate's degree standard
## 203 male group C some college standard
## 204 female group B some high school standard
## 205 female group D associate's degree free/reduced
## 206 male group B some high school standard
## 207 female group A master's degree standard
## 208 male group C some college standard
## 209 female group A some college standard
## 210 female group B associate's degree standard
## 211 female group D high school free/reduced
## 212 male group D associate's degree standard
## 213 male group C some college standard
## 214 male group C some high school standard
## 215 female group E some high school standard
## 216 female group B bachelor's degree free/reduced
## 217 female group B associate's degree standard
## 218 female group D some college free/reduced
## 219 male group B high school free/reduced
## 220 male group C associate's degree standard
## 221 male group D some college standard
## 222 male group C associate's degree standard
## 223 female group B some high school standard
## 224 female group D master's degree standard
## 225 male group D bachelor's degree standard
## 226 male group D some high school standard
## 227 male group D some college free/reduced
## 228 female group D bachelor's degree free/reduced
## 229 female group D high school standard
## 230 male group C associate's degree free/reduced
## 231 female group C high school standard
## 232 male group B some college standard
## 233 male group C some college free/reduced
## 234 male group C some college standard
## 235 female group B bachelor's degree standard
## 236 male group C associate's degree standard
## 237 female group C bachelor's degree standard
## 238 female group D high school standard
## 239 male group B associate's degree standard
## 240 male group C bachelor's degree standard
## 241 female group D some college standard
## 242 male group D associate's degree standard
## 243 male group D some high school standard
## 244 male group C some college standard
## 245 male group B some high school standard
## 246 male group C high school standard
## 247 female group C some high school free/reduced
## 248 male group D some high school standard
## 249 male group C associate's degree standard
## 250 female group D associate's degree free/reduced
## 251 female group D some college free/reduced
## 252 male group B some high school standard
## 253 male group D some high school standard
## 254 female group B associate's degree standard
## 255 female group C high school free/reduced
## 256 female group D some high school standard
## 257 male group A bachelor's degree standard
## 258 female group E some high school standard
## 259 female group B some high school free/reduced
## 260 female group D associate's degree free/reduced
## 261 female group A some high school standard
## 262 female group C high school standard
## 263 male group D some high school standard
## 264 male group D associate's degree standard
## 265 male group D some high school standard
## 266 male group D some high school standard
## 267 male group C associate's degree standard
## 268 female group D associate's degree standard
## 269 female group B some college standard
## 270 female group E some college standard
## 271 female group C some high school standard
## 272 female group D some high school standard
## 273 male group B high school standard
## 274 female group E high school standard
## 275 female group B some high school standard
## 276 female group E some high school standard
## 277 female group D high school free/reduced
## 278 female group E associate's degree standard
## 279 female group B high school standard
## 280 male group D high school standard
## 281 male group D some high school standard
## 282 male group E associate's degree standard
## 283 female group B some college free/reduced
## 284 male group D some college free/reduced
## 285 male group B bachelor's degree free/reduced
## 286 male group C associate's degree standard
## 287 female group D high school standard
## 288 male group C some college standard
## 289 female group C some high school free/reduced
## 290 male group B high school standard
## 291 male group C associate's degree standard
## 292 female group B high school free/reduced
## 293 male group D some college free/reduced
## 294 female group D high school free/reduced
## 295 female group C bachelor's degree free/reduced
## 296 female group C some high school standard
## 297 male group D some high school free/reduced
## 298 female group E bachelor's degree free/reduced
## 299 male group B high school standard
## 300 male group D high school standard
## 301 male group B some college free/reduced
## 302 male group A some high school free/reduced
## 303 male group C high school free/reduced
## 304 male group C some college standard
## 305 male group D bachelor's degree standard
## 306 female group B some college standard
## 307 male group C high school standard
## 308 male group A master's degree standard
## 309 female group D bachelor's degree standard
## 310 male group C bachelor's degree standard
## 311 male group D associate's degree free/reduced
## 312 female group C some high school standard
## 313 male group C associate's degree free/reduced
## 314 male group E some college standard
## 315 male group C associate's degree standard
## 316 female group C associate's degree standard
## 317 female group C high school standard
## 318 male group C some college standard
## 319 female group D some high school free/reduced
## 320 male group D some college standard
## 321 male group E high school free/reduced
## 322 female group C some college free/reduced
## 323 female group C high school standard
## 324 male group D associate's degree standard
## 325 male group E some high school standard
## 326 female group C some high school standard
## 327 male group B associate's degree free/reduced
## 328 female group A high school standard
## 329 male group D some college free/reduced
## 330 male group D associate's degree standard
## 331 male group C some college standard
## 332 female group C bachelor's degree free/reduced
## 333 male group C some college standard
## 334 male group D some high school standard
## 335 male group C high school standard
## 336 male group C associate's degree standard
## 337 male group D some college free/reduced
## 338 female group E high school free/reduced
## 339 female group C associate's degree standard
## 340 female group A high school standard
## 341 female group E some high school standard
## 342 male group C some high school free/reduced
## 343 male group C associate's degree free/reduced
## 344 female group D some high school standard
## 345 male group B high school standard
## 346 male group D some college free/reduced
## 347 female group B master's degree standard
## 348 male group A associate's degree standard
## 349 female group B some college free/reduced
## 350 female group B some high school standard
## 351 female group E some high school free/reduced
## 352 female group E master's degree standard
## 353 female group D bachelor's degree standard
## 354 male group D bachelor's degree free/reduced
## 355 female group D high school standard
## 356 female group B associate's degree standard
## 357 female group B high school free/reduced
## 358 female group B bachelor's degree standard
## 359 male group C some high school free/reduced
## 360 male group D some high school free/reduced
## 361 female group A some college free/reduced
## 362 male group C some college free/reduced
## 363 female group B some high school standard
## 364 male group A some college standard
## 365 male group C high school standard
## 366 female group D associate's degree standard
## 367 female group C associate's degree free/reduced
## 368 male group B some high school standard
## 369 female group C some high school free/reduced
## 370 female group A high school standard
## 371 male group D some high school standard
## 372 female group B some college standard
## 373 female group C bachelor's degree free/reduced
## 374 male group E some college free/reduced
## 375 female group E bachelor's degree standard
## 376 male group E high school free/reduced
## 377 female group A high school standard
## 378 male group B some college free/reduced
## 379 female group C bachelor's degree standard
## 380 female group D some college standard
## 381 female group E high school standard
## 382 female group D high school standard
## 383 female group E some high school standard
## 384 male group E associate's degree standard
## 385 female group D high school standard
## 386 female group D some high school free/reduced
## 387 female group D some high school free/reduced
## 388 male group C some high school free/reduced
## 389 male group A associate's degree free/reduced
## 390 male group C bachelor's degree free/reduced
## 391 female group C some college standard
## 392 female group C high school free/reduced
## 393 female group C some college free/reduced
## 394 male group D some college free/reduced
## 395 male group C some high school standard
## 396 female group B some high school standard
## 397 female group D associate's degree standard
## 398 female group B associate's degree standard
## 399 male group B bachelor's degree standard
## 400 female group A some college free/reduced
## 401 male group C some college standard
## 402 male group A associate's degree standard
## 403 female group C some high school standard
## 404 female group B some college standard
## 405 female group A high school standard
## 406 male group C associate's degree standard
## 407 male group D some college standard
## 408 female group B associate's degree standard
## 409 male group A high school standard
## 410 male group D some college standard
## 411 male group C high school standard
## 412 female group B bachelor's degree free/reduced
## 413 female group C master's degree free/reduced
## 414 male group C some high school free/reduced
## 415 female group D some high school standard
## 416 male group E high school standard
## 417 male group E some college free/reduced
## 418 female group C some high school standard
## 419 male group A some college standard
## 420 female group C some high school free/reduced
## 421 female group A bachelor's degree standard
## 422 male group D some high school standard
## 423 male group C some college free/reduced
## 424 male group D associate's degree standard
## 425 male group C high school standard
## 426 female group E some college standard
## 427 female group A master's degree free/reduced
## 428 male group C associate's degree standard
## 429 male group C associate's degree free/reduced
## 430 male group B some college standard
## 431 male group C bachelor's degree standard
## 432 male group E bachelor's degree standard
## 433 female group C associate's degree free/reduced
## 434 female group D some college standard
## 435 male group C associate's degree standard
## 436 female group E some high school standard
## 437 male group C some high school standard
## 438 male group C some college standard
## 439 male group D associate's degree standard
## 440 male group B associate's degree free/reduced
## 441 female group C high school standard
## 442 female group C master's degree standard
## 443 male group E some high school free/reduced
## 444 male group C some college standard
## 445 male group D bachelor's degree standard
## 446 female group E high school standard
## 447 male group C some college free/reduced
## 448 male group D some high school standard
## 449 female group C high school free/reduced
## 450 female group C some college standard
## 451 female group B high school standard
## 452 male group C high school standard
## 453 female group C some high school standard
## 454 male group C master's degree free/reduced
## 455 male group C associate's degree standard
## 456 male group B some high school standard
## 457 male group B some college standard
## 458 female group B master's degree standard
## 459 male group C some college free/reduced
## 460 male group C some high school standard
## 461 male group B some college free/reduced
## 462 male group A some high school free/reduced
## 463 female group C some college free/reduced
## 464 female group C bachelor's degree free/reduced
## 465 female group D some high school free/reduced
## 466 male group B some high school standard
## 467 female group B some college free/reduced
## 468 female group C bachelor's degree standard
## 469 female group C some college standard
## 470 male group C some college standard
## 471 female group D some college standard
## 472 male group B some college standard
## 473 female group C associate's degree standard
## 474 male group B some college standard
## 475 female group B some college standard
## 476 male group D some college standard
## 477 female group C some high school free/reduced
## 478 male group E bachelor's degree free/reduced
## 479 male group C some college free/reduced
## 480 male group C associate's degree free/reduced
## 481 female group B some high school standard
## 482 female group C bachelor's degree free/reduced
## 483 female group E master's degree free/reduced
## 484 female group C some college free/reduced
## 485 male group D some college free/reduced
## 486 male group B master's degree standard
## 487 female group B associate's degree free/reduced
## 488 female group D some high school standard
## 489 male group C bachelor's degree standard
## 490 female group D bachelor's degree standard
## 491 male group D master's degree standard
## 492 female group D master's degree standard
## 493 female group C some high school standard
## 494 female group C some high school standard
## 495 male group D high school free/reduced
## 496 male group E some college standard
## 497 female group B some high school free/reduced
## 498 male group E some college free/reduced
## 499 male group B bachelor's degree standard
## 500 male group B associate's degree standard
## 501 female group B high school free/reduced
## 502 female group C associate's degree standard
## 503 male group D associate's degree standard
## 504 male group D high school standard
## 505 female group C high school free/reduced
## 506 female group C associate's degree standard
## 507 male group E some high school standard
## 508 female group E some high school free/reduced
## 509 male group C some college standard
## 510 female group D high school standard
## 511 male group E some college free/reduced
## 512 female group A some high school standard
## 513 female group E associate's degree standard
## 514 female group C master's degree standard
## 515 female group C some high school standard
## 516 male group C bachelor's degree free/reduced
## 517 male group B associate's degree standard
## 518 male group B high school standard
## 519 male group B associate's degree free/reduced
## 520 female group E bachelor's degree standard
## 521 male group C bachelor's degree standard
## 522 female group C bachelor's degree standard
## 523 male group D associate's degree standard
## 524 female group D high school standard
## 525 male group D some college free/reduced
## 526 female group D master's degree free/reduced
## 527 female group E some college standard
## 528 female group D some college standard
## 529 male group A associate's degree free/reduced
## 530 female group A bachelor's degree standard
## 531 female group C some college standard
## 532 female group D associate's degree standard
## 533 female group B some college free/reduced
## 534 female group E some high school standard
## 535 male group D some college free/reduced
## 536 female group D bachelor's degree free/reduced
## 537 male group E some college free/reduced
## 538 female group D some high school free/reduced
## 539 female group D high school standard
## 540 male group C bachelor's degree free/reduced
## 541 male group B associate's degree standard
## 542 male group B some college standard
## 543 female group E some college free/reduced
## 544 male group C associate's degree standard
## 545 female group D high school standard
## 546 male group D associate's degree standard
## 547 male group C high school standard
## 548 male group C some college free/reduced
## 549 female group C associate's degree free/reduced
## 550 female group D some high school standard
## 551 female group E some college standard
## 552 male group D some college standard
## 553 female group E master's degree free/reduced
## 554 male group E master's degree free/reduced
## 555 male group D associate's degree free/reduced
## 556 female group D bachelor's degree free/reduced
## 557 male group C bachelor's degree free/reduced
## 558 male group C some college free/reduced
## 559 female group C bachelor's degree standard
## 560 male group E high school free/reduced
## 561 female group D high school standard
## 562 female group E high school standard
## 563 female group C some high school standard
## 564 female group C some high school free/reduced
## 565 female group D some college standard
## 566 female group B some college standard
## 567 male group E some college free/reduced
## 568 female group D some college standard
## 569 male group C high school free/reduced
## 570 female group B some college standard
## 571 male group A associate's degree free/reduced
## 572 female group C high school standard
## 573 male group C associate's degree free/reduced
## 574 female group D some college free/reduced
## 575 female group D high school free/reduced
## 576 male group A bachelor's degree standard
## 577 male group C some college standard
## 578 male group C master's degree standard
## 579 female group B associate's degree standard
## 580 female group B high school free/reduced
## 581 male group E master's degree free/reduced
## 582 male group B some college free/reduced
## 583 female group D bachelor's degree standard
## 584 male group B associate's degree standard
## 585 male group C bachelor's degree standard
## 586 male group C high school standard
## 587 female group B master's degree standard
## 588 female group B some college standard
## 589 female group B associate's degree standard
## 590 female group C high school free/reduced
## 591 male group C associate's degree free/reduced
## 592 female group C associate's degree standard
## 593 female group A high school standard
## 594 male group D bachelor's degree standard
## 595 female group B some college standard
## 596 female group B some college standard
## 597 female group B high school free/reduced
## 598 female group A some college standard
## 599 male group A some high school free/reduced
## 600 female group C some high school standard
## 601 female group C some college free/reduced
## 602 female group D high school standard
## 603 male group C high school standard
## 604 female group C associate's degree standard
## 605 female group D bachelor's degree standard
## 606 male group B associate's degree standard
## 607 male group D high school free/reduced
## 608 male group D associate's degree free/reduced
## 609 male group C bachelor's degree standard
## 610 male group D some high school standard
## 611 male group E associate's degree free/reduced
## 612 female group A high school standard
## 613 female group A bachelor's degree standard
## 614 male group C high school free/reduced
## 615 female group C high school standard
## 616 female group C high school standard
## 617 female group D high school standard
## 618 male group E high school free/reduced
## 619 male group B some high school standard
## 620 female group B bachelor's degree free/reduced
## 621 female group D some high school free/reduced
## 622 female group D some college free/reduced
## 623 female group B some college standard
## 624 male group C associate's degree free/reduced
## 625 female group D associate's degree standard
## 626 female group A master's degree free/reduced
## 627 female group B master's degree standard
## 628 female group B bachelor's degree standard
## 629 male group D associate's degree standard
## 630 male group C high school standard
## 631 female group B associate's degree free/reduced
## 632 male group B some high school standard
## 633 male group B bachelor's degree free/reduced
## 634 male group C high school free/reduced
## 635 female group D master's degree standard
## 636 female group D master's degree standard
## 637 male group E bachelor's degree free/reduced
## 638 female group C some college standard
## 639 male group E high school standard
## 640 male group C associate's degree standard
## 641 male group E bachelor's degree standard
## 642 male group C high school standard
## 643 male group C master's degree free/reduced
## 644 female group C high school standard
## 645 female group C some high school standard
## 646 male group C some college free/reduced
## 647 male group D high school standard
## 648 male group D some college standard
## 649 male group D associate's degree standard
## 650 female group B high school free/reduced
## 651 male group B high school standard
## 652 male group D associate's degree free/reduced
## 653 female group C some high school standard
## 654 male group B some college free/reduced
## 655 female group B associate's degree standard
## 656 male group C associate's degree standard
## 657 female group D some high school standard
## 658 female group A associate's degree free/reduced
## 659 male group D high school standard
## 660 male group D some high school free/reduced
## 661 female group C high school standard
## 662 female group D high school free/reduced
## 663 female group C associate's degree standard
## 664 female group C some college standard
## 665 female group B some high school standard
## 666 female group D some high school standard
## 667 female group C some college standard
## 668 male group C high school free/reduced
## 669 male group B high school standard
## 670 male group C some high school standard
## 671 male group E high school standard
## 672 female group D master's degree standard
## 673 female group C some high school free/reduced
## 674 female group B associate's degree free/reduced
## 675 male group B master's degree standard
## 676 male group C associate's degree standard
## 677 male group E associate's degree free/reduced
## 678 female group C high school standard
## 679 female group C some college standard
## 680 male group C associate's degree standard
## 681 male group D associate's degree free/reduced
## 682 male group C some high school free/reduced
## 683 male group D some high school standard
## 684 male group C high school free/reduced
## 685 male group C associate's degree free/reduced
## 686 male group D high school standard
## 687 female group B some college free/reduced
## 688 male group D associate's degree standard
## 689 female group B some college free/reduced
## 690 male group C some college free/reduced
## 691 male group B bachelor's degree standard
## 692 female group D associate's degree free/reduced
## 693 female group E high school standard
## 694 male group A some college standard
## 695 male group D some college standard
## 696 male group B some high school standard
## 697 female group C some high school standard
## 698 male group E associate's degree standard
## 699 male group C some college free/reduced
## 700 female group C some college free/reduced
## 701 male group C some high school free/reduced
## 702 male group D some high school standard
## 703 male group D high school standard
## 704 male group B some high school standard
## 705 female group A high school standard
## 706 male group D associate's degree free/reduced
## 707 female group D bachelor's degree standard
## 708 female group E high school standard
## 709 male group E some college free/reduced
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## 1000 completed 65 60 62datos_interes = datos[, c(6,7,8)]
#datos_intereshead(datos_interes,10)## math.score reading.score writing.score
## 1 67 67 63
## 2 40 59 55
## 3 59 60 50
## 4 77 78 68
## 5 78 73 68
## 6 63 77 76
## 7 62 59 63
## 8 93 88 84
## 9 63 56 65
## 10 47 42 45tail(datos_interes,10)## math.score reading.score writing.score
## 991 67 55 53
## 992 87 93 88
## 993 69 63 66
## 994 58 54 58
## 995 86 82 75
## 996 73 70 65
## 997 85 91 92
## 998 32 35 41
## 999 73 74 82
## 1000 65 60 62media_mat = mean(datos_interes$math.score)
mediana_mat = median(datos_interes$math.score)
moda_mat = mfv(datos_interes$math.score)
paste("La media artitmética de Matemáticas = ",media_mat)## [1] "La media artitmética de Matemáticas = 66.396"paste("La mediana de Matemáticas = ",mediana_mat)## [1] "La mediana de Matemáticas = 66.5"paste("La moda de Matemáticas = ",moda_mat)## [1] "La moda de Matemáticas = 63"media_read = mean(datos_interes$reading.score)
mediana_read = median(datos_interes$reading.score)
moda_read = mfv(datos_interes$reading.score)
paste("La media aritmética de Lectura = ",media_read)## [1] "La media aritmética de Lectura = 69.002"paste("La mediana de Lectura = ",mediana_read)## [1] "La mediana de Lectura = 70"paste("La moda de Lectura = ",moda_read)## [1] "La moda de Lectura = 71"media_write = mean(datos_interes$writing.score)
mediana_write = median(datos_interes$writing.score)
moda_write = mfv(datos_interes$writing.score)
paste("La mediana aritmética de Escritura = ",media_write)## [1] "La mediana aritmética de Escritura = 67.738"paste("La mediana de Escritura = ",mediana_write)## [1] "La mediana de Escritura = 68"paste("La moda de Escritura = ",moda_write)## [1] "La moda de Escritura = 64" "La moda de Escritura = 71"summary(datos_interes)## math.score reading.score writing.score
## Min. : 13.0 Min. : 27 Min. : 23.00
## 1st Qu.: 56.0 1st Qu.: 60 1st Qu.: 58.00
## Median : 66.5 Median : 70 Median : 68.00
## Mean : 66.4 Mean : 69 Mean : 67.74
## 3rd Qu.: 77.0 3rd Qu.: 79 3rd Qu.: 79.00
## Max. :100.0 Max. :100 Max. :100.00