fs <- read.csv("C:/Users/User/Downloads/StudentsPerformance.csv")
print(fs)## gender race.ethnicity parental.level.of.education lunch
## 1 female group B bachelor's degree standard
## 2 female group C some college standard
## 3 female group B master's degree standard
## 4 male group A associate's degree free/reduced
## 5 male group C some college standard
## 6 female group B associate's degree standard
## 7 female group B some college standard
## 8 male group B some college free/reduced
## 9 male group D high school free/reduced
## 10 female group B high school free/reduced
## 11 male group C associate's degree standard
## 12 male group D associate's degree standard
## 13 female group B high school standard
## 14 male group A some college standard
## 15 female group A master's degree standard
## 16 female group C some high school standard
## 17 male group C high school standard
## 18 female group B some high school free/reduced
## 19 male group C master's degree free/reduced
## 20 female group C associate's degree free/reduced
## 21 male group D high school standard
## 22 female group B some college free/reduced
## 23 male group D some college standard
## 24 female group C some high school standard
## 25 male group D bachelor's degree free/reduced
## 26 male group A master's degree free/reduced
## 27 male group B some college standard
## 28 female group C bachelor's degree standard
## 29 male group C high school standard
## 30 female group D master's degree standard
## 31 female group D some college standard
## 32 female group B some college standard
## 33 female group E master's degree free/reduced
## 34 male group D some college standard
## 35 male group E some college standard
## 36 male group E associate's degree standard
## 37 female group D associate's degree standard
## 38 female group D some high school free/reduced
## 39 female group D associate's degree free/reduced
## 40 male group B associate's degree free/reduced
## 41 male group C associate's degree free/reduced
## 42 female group C associate's degree standard
## 43 female group B associate's degree standard
## 44 male group B some college free/reduced
## 45 female group E associate's degree free/reduced
## 46 male group B associate's degree standard
## 47 female group A associate's degree standard
## 48 female group C high school standard
## 49 female group D associate's degree free/reduced
## 50 male group C high school standard
## 51 male group E some college standard
## 52 male group E associate's degree free/reduced
## 53 male group C some college standard
## 54 male group D high school standard
## 55 female group C some high school free/reduced
## 56 female group C high school free/reduced
## 57 female group E associate's degree standard
## 58 male group D associate's degree standard
## 59 male group D some college standard
## 60 female group C some high school free/reduced
## 61 male group E bachelor's degree free/reduced
## 62 male group A some high school free/reduced
## 63 male group A associate's degree free/reduced
## 64 female group C associate's degree standard
## 65 female group D some high school standard
## 66 male group B some high school standard
## 67 male group D some high school free/reduced
## 68 female group C some college standard
## 69 male group B associate's degree free/reduced
## 70 female group C associate's degree standard
## 71 female group D some college free/reduced
## 72 male group D some college standard
## 73 female group A associate's degree free/reduced
## 74 male group C some high school free/reduced
## 75 male group C some high school standard
## 76 male group B associate's degree free/reduced
## 77 male group E some high school standard
## 78 male group A bachelor's degree standard
## 79 female group D some high school standard
## 80 female group E master's degree standard
## 81 female group B associate's degree standard
## 82 male group B high school free/reduced
## 83 male group A some college free/reduced
## 84 male group E associate's degree standard
## 85 male group D high school free/reduced
## 86 female group C some college standard
## 87 female group C some college free/reduced
## 88 female group D associate's degree standard
## 89 female group A some college standard
## 90 female group D some high school standard
## 91 female group C bachelor's degree standard
## 92 male group C high school free/reduced
## 93 male group C high school standard
## 94 male group C associate's degree free/reduced
## 95 female group B some college standard
## 96 male group C associate's degree free/reduced
## 97 male group B some high school standard
## 98 female group E some college standard
## 99 female group D some college free/reduced
## 100 female group D bachelor's degree standard
## 101 male group B some college standard
## 102 male group D bachelor's degree standard
## 103 female group D associate's degree standard
## 104 male group B high school standard
## 105 male group C some college standard
## 106 female group C some college standard
## 107 female group D master's degree standard
## 108 male group E associate's degree standard
## 109 female group B associate's degree free/reduced
## 110 female group B some high school standard
## 111 female group D associate's degree free/reduced
## 112 male group C high school standard
## 113 male group A associate's degree standard
## 114 female group D some college standard
## 115 female group E bachelor's degree standard
## 116 male group C high school standard
## 117 female group B bachelor's degree free/reduced
## 118 female group D bachelor's degree standard
## 119 female group D some high school standard
## 120 female group C some college standard
## 121 female group C bachelor's degree standard
## 122 male group B associate's degree standard
## 123 female group C some college standard
## 124 male group D high school free/reduced
## 125 male group E some college standard
## 126 female group B high school standard
## 127 male group B some high school standard
## 128 male group D some college standard
## 129 male group D master's degree standard
## 130 female group A bachelor's degree standard
## 131 male group D master's degree standard
## 132 male group C some high school free/reduced
## 133 male group E some college free/reduced
## 134 female group C some college standard
## 135 male group D bachelor's degree free/reduced
## 136 male group C bachelor's degree standard
## 137 male group B some high school standard
## 138 male group E high school standard
## 139 female group C associate's degree standard
## 140 male group D some college standard
## 141 female group D some high school standard
## 142 female group C some college free/reduced
## 143 female group E some college free/reduced
## 144 male group A high school standard
## 145 male group D some college standard
## 146 female group C some college free/reduced
## 147 male group B some high school standard
## 148 male group C associate's degree free/reduced
## 149 female group D bachelor's degree standard
## 150 male group E associate's degree free/reduced
## 151 male group A some high school standard
## 152 male group A bachelor's degree standard
## 153 female group B associate's degree standard
## 154 male group D bachelor's degree standard
## 155 male group D some high school standard
## 156 female group C some college standard
## 157 female group E high school free/reduced
## 158 male group B some college free/reduced
## 159 female group B associate's degree standard
## 160 male group D associate's degree free/reduced
## 161 male group B associate's degree free/reduced
## 162 female group E some college free/reduced
## 163 male group B master's degree free/reduced
## 164 male group C high school standard
## 165 female group E master's degree standard
## 166 female group C bachelor's degree standard
## 167 male group C high school free/reduced
## 168 female group B master's degree free/reduced
## 169 female group B high school standard
## 170 female group C some college free/reduced
## 171 male group A high school standard
## 172 male group E some high school standard
## 173 female group D some college standard
## 174 female group C associate's degree standard
## 175 female group C bachelor's degree free/reduced
## 176 female group C master's degree standard
## 177 female group B high school free/reduced
## 178 female group C associate's degree standard
## 179 female group B master's degree free/reduced
## 180 female group D some high school standard
## 181 male group C master's degree free/reduced
## 182 female group C some college free/reduced
## 183 female group E high school standard
## 184 female group D associate's degree standard
## 185 male group C some high school free/reduced
## 186 male group C associate's degree free/reduced
## 187 male group E high school standard
## 188 male group D some high school standard
## 189 male group B some high school free/reduced
## 190 female group C bachelor's degree standard
## 191 female group E associate's degree standard
## 192 male group D some college standard
## 193 female group B some high school standard
## 194 male group D some college standard
## 195 female group C master's degree standard
## 196 male group D associate's degree standard
## 197 male group C some high school free/reduced
## 198 male group E high school free/reduced
## 199 female group B some college free/reduced
## 200 female group B bachelor's degree free/reduced
## 201 female group C associate's degree standard
## 202 female group D some college free/reduced
## 203 male group C associate's degree standard
## 204 female group B associate's degree standard
## 205 male group C some college standard
## 206 male group D some high school standard
## 207 male group E bachelor's degree standard
## 208 male group E high school standard
## 209 female group B some college free/reduced
## 210 female group B some college free/reduced
## 211 male group D some high school free/reduced
## 212 male group C some college free/reduced
## 213 female group C high school free/reduced
## 214 male group C associate's degree free/reduced
## 215 male group E high school standard
## 216 male group B some high school standard
## 217 female group E associate's degree free/reduced
## 218 female group C high school free/reduced
## 219 male group B high school free/reduced
## 220 male group B some high school standard
## 221 female group D high school standard
## 222 male group B associate's degree standard
## 223 female group C some high school free/reduced
## 224 male group D some high school standard
## 225 female group B associate's degree standard
## 226 female group E master's degree free/reduced
## 227 female group C some college standard
## 228 male group D high school standard
## 229 male group A some high school free/reduced
## 230 female group C some college standard
## 231 male group D some college standard
## 232 male group C associate's degree standard
## 233 female group B bachelor's degree standard
## 234 male group E some high school standard
## 235 male group C bachelor's degree standard
## 236 male group D associate's degree standard
## 237 male group D bachelor's degree free/reduced
## 238 female group D some high school standard
## 239 male group B some college standard
## 240 male group C associate's degree standard
## 241 male group D high school free/reduced
## 242 female group E bachelor's degree standard
## 243 female group D high school standard
## 244 male group E some college standard
## 245 male group D some high school standard
## 246 male group C associate's degree standard
## 247 male group E associate's degree standard
## 248 female group B high school standard
## 249 female group B high school standard
## 250 male group C high school standard
## 251 male group A some high school standard
## 252 female group D some college free/reduced
## 253 female group B some high school standard
## 254 male group D master's degree standard
## 255 male group D high school standard
## 256 female group E some college standard
## 257 female group C associate's degree free/reduced
## 258 male group C associate's degree standard
## 259 female group B some college standard
## 260 female group C master's degree free/reduced
## 261 female group C some high school free/reduced
## 262 male group C some college standard
## 263 female group C some high school free/reduced
## 264 female group E high school standard
## 265 male group D high school standard
## 266 male group D some high school free/reduced
## 267 female group C bachelor's degree standard
## 268 female group D high school standard
## 269 female group D associate's degree standard
## 270 female group E some college free/reduced
## 271 male group C bachelor's degree standard
## 272 male group C some college standard
## 273 female group D associate's degree free/reduced
## 274 female group D some college standard
## 275 male group B some college standard
## 276 male group C bachelor's degree standard
## 277 female group C some high school standard
## 278 female group E high school standard
## 279 female group C some high school free/reduced
## 280 male group B bachelor's degree free/reduced
## 281 male group D high school standard
## 282 male group D high school standard
## 283 female group D bachelor's degree free/reduced
## 284 female group D some college free/reduced
## 285 female group B some high school standard
## 286 male group B associate's degree standard
## 287 male group E associate's degree standard
## 288 female group B some high school standard
## 289 male group B bachelor's degree free/reduced
## 290 male group E some high school standard
## 291 male group C associate's degree standard
## 292 male group D some high school standard
## 293 male group C some high school standard
## 294 female group E bachelor's degree standard
## 295 male group D high school free/reduced
## 296 male group B associate's degree free/reduced
## 297 male group A some high school standard
## 298 male group E associate's degree standard
## 299 male group C high school free/reduced
## 300 male group D associate's degree free/reduced
## 301 male group A some college free/reduced
## 302 male group D some high school free/reduced
## 303 female group C associate's degree standard
## 304 male group B associate's degree standard
## 305 female group C associate's degree standard
## 306 male group A some college standard
## 307 male group E some college standard
## 308 male group C some high school standard
## 309 female group B associate's degree free/reduced
## 310 female group D high school free/reduced
## 311 female group B associate's degree standard
## 312 male group B bachelor's degree standard
## 313 male group D bachelor's degree standard
## 314 female group C associate's degree free/reduced
## 315 female group C bachelor's degree standard
## 316 male group C high school standard
## 317 female group D master's degree standard
## 318 male group C associate's degree standard
## 319 male group B bachelor's degree standard
## 320 female group D associate's degree free/reduced
## 321 female group C high school free/reduced
## 322 female group E high school standard
## 323 female group C some college standard
## 324 female group C some high school free/reduced
## 325 female group C high school free/reduced
## 326 female group C some college standard
## 327 male group C some college standard
## 328 male group A some college free/reduced
## 329 male group C associate's degree standard
## 330 female group B some high school standard
## 331 male group C high school standard
## 332 male group C associate's degree standard
## 333 male group E associate's degree standard
## 334 male group B associate's degree standard
## 335 female group C bachelor's degree standard
## 336 female group B some college free/reduced
## 337 male group D some high school standard
## 338 male group C associate's degree standard
## 339 female group B some high school free/reduced
## 340 female group D some high school free/reduced
## 341 male group C high school free/reduced
## 342 female group C high school standard
## 343 female group B high school standard
## 344 male group D associate's degree standard
## 345 male group D some college standard
## 346 female group C high school standard
## 347 male group B some college standard
## 348 female group C bachelor's degree standard
## 349 male group D high school free/reduced
## 350 male group E associate's degree standard
## 351 female group B bachelor's degree standard
## 352 male group E some college standard
## 353 female group C some college standard
## 354 female group C associate's degree standard
## 355 female group C some college standard
## 356 female group B bachelor's degree standard
## 357 male group A associate's degree standard
## 358 female group C some college free/reduced
## 359 male group D some college free/reduced
## 360 female group D some college standard
## 361 female group B high school standard
## 362 male group B some high school standard
## 363 female group C some college standard
## 364 female group D some high school free/reduced
## 365 male group C some college standard
## 366 male group A bachelor's degree free/reduced
## 367 male group C high school standard
## 368 male group C bachelor's degree free/reduced
## 369 female group A some high school free/reduced
## 370 female group D some high school standard
## 371 male group E some college standard
## 372 female group C some college free/reduced
## 373 male group D some high school standard
## 374 female group D some college standard
## 375 female group D bachelor's degree standard
## 376 male group E associate's degree free/reduced
## 377 female group D some high school standard
## 378 female group D master's degree free/reduced
## 379 female group A some high school standard
## 380 male group A bachelor's degree standard
## 381 female group B associate's degree standard
## 382 male group C associate's degree standard
## 383 male group C master's degree free/reduced
## 384 female group E some high school free/reduced
## 385 female group A some high school free/reduced
## 386 female group E some college standard
## 387 female group E bachelor's degree standard
## 388 female group C associate's degree free/reduced
## 389 female group D high school standard
## 390 male group D master's degree standard
## 391 male group E some high school free/reduced
## 392 female group D some college standard
## 393 male group E some college standard
## 394 male group C associate's degree standard
## 395 female group C some high school standard
## 396 male group A high school free/reduced
## 397 female group B high school free/reduced
## 398 female group C associate's degree standard
## 399 male group B some high school standard
## 400 male group D some high school standard
## 401 female group C some high school standard
## 402 male group A some college standard
## 403 female group A some college free/reduced
## 404 female group D high school standard
## 405 female group C high school standard
## 406 female group C some high school standard
## 407 male group B associate's degree standard
## 408 female group B associate's degree standard
## 409 female group D high school free/reduced
## 410 male group D associate's degree standard
## 411 female group D master's degree standard
## 412 male group E some college standard
## 413 male group D associate's degree standard
## 414 male group B some high school standard
## 415 female group C bachelor's degree free/reduced
## 416 male group E high school standard
## 417 male group C bachelor's degree standard
## 418 male group C associate's degree standard
## 419 male group D some college standard
## 420 male group E high school free/reduced
## 421 female group C associate's degree free/reduced
## 422 female group D high school standard
## 423 female group D master's degree free/reduced
## 424 female group A some high school standard
## 425 male group B some college free/reduced
## 426 female group C some college free/reduced
## 427 male group C bachelor's degree standard
## 428 male group C some high school free/reduced
## 429 male group A some high school free/reduced
## 430 male group C some high school free/reduced
## 431 male group C associate's degree free/reduced
## 432 female group C high school standard
## 433 male group C high school standard
## 434 female group A some high school free/reduced
## 435 male group C some high school standard
## 436 male group C some college free/reduced
## 437 male group D associate's degree standard
## 438 male group D associate's degree free/reduced
## 439 male group C high school standard
## 440 male group D some high school standard
## 441 female group C some college standard
## 442 female group D high school standard
## 443 female group A some high school free/reduced
## 444 female group B associate's degree standard
## 445 male group A some high school free/reduced
## 446 female group C some high school standard
## 447 male group D some college free/reduced
## 448 male group C high school standard
## 449 male group B high school standard
## 450 male group B associate's degree standard
## 451 female group C some college free/reduced
## 452 female group E some college standard
## 453 female group C associate's degree free/reduced
## 454 male group C some college free/reduced
## 455 female group C associate's degree free/reduced
## 456 male group C bachelor's degree free/reduced
## 457 female group D bachelor's degree standard
## 458 male group D associate's degree free/reduced
## 459 female group E bachelor's degree standard
## 460 male group B high school standard
## 461 male group C bachelor's degree free/reduced
## 462 male group B some college free/reduced
## 463 female group E some college standard
## 464 female group C some college free/reduced
## 465 male group A bachelor's degree standard
## 466 female group C some college standard
## 467 female group D associate's degree free/reduced
## 468 male group A high school free/reduced
## 469 female group A high school free/reduced
## 470 male group C some college standard
## 471 female group C associate's degree standard
## 472 female group C high school standard
## 473 female group C associate's degree standard
## 474 female group D some high school standard
## 475 female group B associate's degree standard
## 476 female group D bachelor's degree standard
## 477 male group E bachelor's degree standard
## 478 male group D associate's degree standard
## 479 female group D master's degree standard
## 480 male group E associate's degree standard
## 481 male group B high school standard
## 482 female group D associate's degree free/reduced
## 483 male group C some college free/reduced
## 484 male group A high school standard
## 485 female group B associate's degree standard
## 486 male group C high school standard
## 487 male group D some college free/reduced
## 488 female group C associate's degree free/reduced
## 489 male group B some high school standard
## 490 male group A associate's degree free/reduced
## 491 female group A associate's degree free/reduced
## 492 female group C associate's degree standard
## 493 female group C some college standard
## 494 female group C bachelor's degree standard
## 495 female group B high school standard
## 496 male group D high school standard
## 497 female group C some college standard
## 498 female group D some college free/reduced
## 499 female group B some high school standard
## 500 male group E some college standard
## 501 female group D master's degree standard
## 502 female group B associate's degree standard
## 503 male group C some college free/reduced
## 504 female group E associate's degree standard
## 505 female group D master's degree free/reduced
## 506 female group B some high school standard
## 507 male group A high school standard
## 508 male group B bachelor's degree free/reduced
## 509 male group C master's degree standard
## 510 female group C bachelor's degree standard
## 511 male group D some college standard
## 512 male group A some high school standard
## 513 male group D some high school free/reduced
## 514 female group B some high school standard
## 515 female group B master's degree free/reduced
## 516 female group C some high school standard
## 517 female group D some college standard
## 518 female group E some college standard
## 519 female group D some high school standard
## 520 female group B high school free/reduced
## 521 male group D some college standard
## 522 female group C associate's degree standard
## 523 male group D bachelor's degree standard
## 524 male group C master's degree free/reduced
## 525 male group C high school standard
## 526 male group E some college standard
## 527 male group C some high school free/reduced
## 528 female group C high school free/reduced
## 529 female group D bachelor's degree free/reduced
## 530 female group C associate's degree standard
## 531 female group C associate's degree standard
## 532 female group C some high school standard
## 533 male group E associate's degree standard
## 534 female group E associate's degree standard
## 535 male group B high school standard
## 536 female group C bachelor's degree free/reduced
## 537 male group C associate's degree standard
## 538 female group D high school standard
## 539 male group E bachelor's degree standard
## 540 male group A associate's degree standard
## 541 male group C high school standard
## 542 male group D associate's degree free/reduced
## 543 female group C associate's degree standard
## 544 female group D associate's degree standard
## 545 female group D master's degree standard
## 546 male group E some high school free/reduced
## 547 female group A some high school standard
## 548 male group C high school standard
## 549 female group C high school free/reduced
## 550 male group C master's degree standard
## 551 male group C some high school free/reduced
## 552 male group B bachelor's degree free/reduced
## 553 female group B associate's degree standard
## 554 male group D some college free/reduced
## 555 male group E associate's degree standard
## 556 female group C some college free/reduced
## 557 female group C associate's degree standard
## 558 male group C master's degree free/reduced
## 559 female group B associate's degree free/reduced
## 560 male group D some high school standard
## 561 female group D some college standard
## 562 female group C some college standard
## 563 male group C bachelor's degree standard
## 564 female group D some college free/reduced
## 565 male group B bachelor's degree free/reduced
## 566 male group B associate's degree standard
## 567 female group E bachelor's degree free/reduced
## 568 female group D master's degree free/reduced
## 569 male group B high school free/reduced
## 570 male group D bachelor's degree free/reduced
## 571 male group B some college standard
## 572 male group A bachelor's degree standard
## 573 female group C some college standard
## 574 female group C high school free/reduced
## 575 female group E high school standard
## 576 male group A associate's degree free/reduced
## 577 male group A some college standard
## 578 female group B high school standard
## 579 female group B some college free/reduced
## 580 female group D master's degree standard
## 581 female group D some high school standard
## 582 female group E some high school standard
## 583 female group D bachelor's degree free/reduced
## 584 female group D associate's degree standard
## 585 female group D some college standard
## 586 female group C associate's degree standard
## 587 female group A high school standard
## 588 female group C bachelor's degree free/reduced
## 589 female group C some college standard
## 590 female group A some high school standard
## 591 male group C some college free/reduced
## 592 male group A some high school standard
## 593 male group E bachelor's degree standard
## 594 female group E high school standard
## 595 female group C bachelor's degree standard
## 596 female group C bachelor's degree standard
## 597 male group B high school free/reduced
## 598 male group A some high school standard
## 599 female group D high school standard
## 600 female group D some high school standard
## 601 female group D master's degree standard
## 602 female group C high school standard
## 603 female group E some college standard
## 604 male group D high school free/reduced
## 605 male group D master's degree free/reduced
## 606 male group C some high school standard
## 607 female group C associate's degree standard
## 608 female group C master's degree free/reduced
## 609 female group E some college standard
## 610 female group B associate's degree standard
## 611 male group D some college free/reduced
## 612 female group C some college standard
## 613 male group C bachelor's degree standard
## 614 female group C associate's degree standard
## 615 female group A associate's degree standard
## 616 female group C high school standard
## 617 female group E bachelor's degree standard
## 618 male group D bachelor's degree standard
## 619 male group D master's degree standard
## 620 male group C associate's degree free/reduced
## 621 female group C high school free/reduced
## 622 male group B bachelor's degree free/reduced
## 623 male group C high school free/reduced
## 624 male group A some college standard
## 625 female group E bachelor's degree free/reduced
## 626 male group D some college standard
## 627 male group B associate's degree free/reduced
## 628 male group D associate's degree standard
## 629 male group D some college free/reduced
## 630 female group C some high school standard
## 631 male group D some college standard
## 632 male group B high school standard
## 633 female group B bachelor's degree standard
## 634 female group C high school standard
## 635 male group D some high school standard
## 636 male group A high school standard
## 637 female group B high school free/reduced
## 638 female group D some high school standard
## 639 male group E some college standard
## 640 female group D associate's degree standard
## 641 male group D high school standard
## 642 female group D associate's degree free/reduced
## 643 female group B some high school free/reduced
## 644 female group E high school standard
## 645 male group B high school standard
## 646 female group B bachelor's degree standard
## 647 female group D associate's degree standard
## 648 female group E high school free/reduced
## 649 female group B high school standard
## 650 female group D some college standard
## 651 male group C some high school free/reduced
## 652 female group A high school standard
## 653 female group D some college standard
## 654 female group A associate's degree standard
## 655 female group B some high school standard
## 656 female group B some college standard
## 657 male group C associate's degree free/reduced
## 658 male group D some high school standard
## 659 female group D associate's degree free/reduced
## 660 male group D associate's degree standard
## 661 male group C some college free/reduced
## 662 male group C some high school standard
## 663 female group D some college free/reduced
## 664 female group C high school standard
## 665 male group D associate's degree standard
## 666 female group C some high school free/reduced
## 667 female group C some college free/reduced
## 668 female group B bachelor's degree free/reduced
## 669 male group C some college standard
## 670 male group D associate's degree standard
## 671 female group C high school free/reduced
## 672 male group D associate's degree free/reduced
## 673 female group C some college standard
## 674 female group C associate's degree standard
## 675 female group D high school standard
## 676 female group B some college standard
## 677 female group E some college standard
## 678 female group C some high school standard
## 679 male group D associate's degree free/reduced
## 680 male group D some college free/reduced
## 681 female group D high school standard
## 682 male group B high school standard
## 683 male group B high school standard
## 684 female group C some high school free/reduced
## 685 male group B some college standard
## 686 female group E master's degree standard
## 687 male group E some college standard
## 688 male group D associate's degree free/reduced
## 689 male group A high school free/reduced
## 690 male group E some college free/reduced
## 691 female group C associate's degree standard
## 692 female group E associate's degree free/reduced
## 693 female group C bachelor's degree free/reduced
## 694 female group D associate's degree standard
## 695 female group C some high school standard
## 696 female group D some college free/reduced
## 697 female group C associate's degree standard
## 698 female group A bachelor's degree standard
## 699 female group D associate's degree standard
## 700 male group C high school free/reduced
## 701 female group E bachelor's degree standard
## 702 female group B some high school standard
## 703 male group A bachelor's degree standard
## 704 female group D some college standard
## 705 female group B some high school free/reduced
## 706 male group A bachelor's degree free/reduced
## 707 male group D high school standard
## 708 male group C some college standard
## 709 male group D high school standard
## 710 female group D associate's degree free/reduced
## 711 male group C some college standard
## 712 female group E some high school standard
## 713 female group D some college standard
## 714 male group D master's degree standard
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## 1000 none 77 86 86math = (fs$math.score)
head(math)## [1] 72 69 90 47 76 71reading = (fs$reading.score)
head(reading)## [1] 72 90 95 57 78 83shapiro.test(math)##
## Shapiro-Wilk normality test
##
## data: math
## W = 0.99315, p-value = 0.0001455shapiro.test(reading)##
## Shapiro-Wilk normality test
##
## data: reading
## W = 0.99292, p-value = 0.0001055var.test(math,reading, alternative = "two.sided",conf.level = 0.95)##
## F test to compare two variances
##
## data: math and reading
## F = 1.0786, num df = 999, denom df = 999, p-value = 0.232
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 0.9527201 1.2210969
## sample estimates:
## ratio of variances
## 1.078593t.test(x=math, y=reading,
alternative = "two.sided",
paired = FALSE, var.equal = TRUE,
conf.level = 0.95)##
## Two Sample t-test
##
## data: math and reading
## t = -4.6271, df = 1998, p-value = 3.946e-06
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
## -4.385433 -1.774567
## sample estimates:
## mean of x mean of y
## 66.089 69.169print("keputusan : p-value>alpha,maka gagal Tolak H0,jadi math score = reading score(tidak ada perbedaan)")## [1] "keputusan : p-value>alpha,maka gagal Tolak H0,jadi math score = reading score(tidak ada perbedaan)"sebelum = c(3,3,2.4,2.8,2.7,2.7,2.4,2.8,2.5,2.6)
sesudah = c(3.5,2.9,2.6,4,3,2.1,3.7,2.4,3.2,3.6)
## uji normalitas
shapiro.test(sebelum-sesudah)##
## Shapiro-Wilk normality test
##
## data: sebelum - sesudah
## W = 0.95936, p-value = 0.7785print("keputusan : p-value>alpha,maka gagal Tolak H0,jadi data berdistribusi normal")## [1] "keputusan : p-value>alpha,maka gagal Tolak H0,jadi data berdistribusi normal"## Paired two sample t-test ##
t.test(sesudah,sebelum, alternative='greater',conf.level=.95, paired = TRUE)##
## Paired t-test
##
## data: sesudah and sebelum
## t = 1.9826, df = 9, p-value = 0.03937
## alternative hypothesis: true mean difference is greater than 0
## 95 percent confidence interval:
## 0.03091035 Inf
## sample estimates:
## mean difference
## 0.41print("keputusan : p-value<alpha, Tolak H0,maka pemberian suplemen efektif")## [1] "keputusan : p-value<alpha, Tolak H0,maka pemberian suplemen efektif"