Refer to the Buena School District bus data. Prepare a report on the maintenance
ID: 3204762 • Letter: R
Question
Refer to the Buena School District bus data. Prepare a report on the maintenance cost for
last month. Be sure to answer the following questions in your report.
a. Around what values do the data tend to cluster? Specifically what was the mean maintenance
cost last month? What is the median cost? Is one measure more representative
of the typical cost than the others?
b. What is the range of maintenance costs? What is the standard deviation? About 95% of
the maintenance costs are between what two values?
Maintenance 329 503 505 466 359 546 427 474 382 422 433 474 558 561 357 329 497 459 355 489 436 455 514 503 380 432 478 406 471 444 493 452 461 496 469 442 414 459 457 462 570 439 369 390 469 381 501 432 392 441 448 468 467 478 515 411 504 504 392 423 410 529 477 540 450 390 424 433 428 494 396 458 493 475 476 403 337 492 426 449Explanation / Answer
putting data into ascneding order
as we can see that around value 433 the data tends to cluster .
mean =450.2875
median =(n+1)/2 th value =40.5 th value =(40th +41 st)/2 value =(455+457)/2 =456
as both values are near, hence no.
b)range =maxi,mum -minimum = 570-329=241
std deviation 53.69
About 95% of
the maintenance costs are two deviation away from mean and equa to =mean +/-2*std deviation =342.92 ; 557.66
Maintenance(X SS=(X-Xbar)^2 329 14710.66 329 14710.66 337 12834.06 355 9079.71 357 8702.56 359 8333.41 369 6607.66 380 4940.33 381 4800.76 382 4663.18 390 3634.58 390 3634.58 392 3397.43 392 3397.43 396 2947.13 403 2236.11 406 1961.38 410 1623.08 411 1543.51 414 1316.78 422 800.18 423 744.61 424 691.03 426 589.88 427 542.31 428 496.73 432 334.43 432 334.43 433 298.86 433 298.86 436 204.13 439 127.41 441 86.26 442 68.68 444 39.53 448 5.23 449 1.66 450 0.08 452 2.93 455 22.21 457 45.06 458 59.48 459 75.91 459 75.91 461 114.76 462 137.18 466 246.88 467 279.31 468 313.73 469 350.16 469 350.16 471 429.01 474 562.28 474 562.28 475 610.71 476 661.13 477 713.56 478 767.98 478 767.98 489 1498.66 492 1739.93 493 1824.36 493 1824.36 494 1910.78 496 2089.63 497 2182.06 501 2571.76 503 2778.61 503 2778.61 504 2885.03 504 2885.03 505 2993.46 514 4059.28 515 4187.71 529 6195.66 540 8048.33 546 9160.88 558 11601.98 561 12257.26 570 14331.08 total 36023 227692.39 mean=total/n 450.2875 Std deviation=(SS total/(n-1))^0.5 53.69