Question

A manufacturing company produces steel housings for electrical equipment. The main component part of the housing is a steel trough that is made out of a 14-gauge steel coil. It is produced using a 250 ton progressive punch press with a wipe down operation putting two – 90 degree forms in the flat steel to make the trough. The distance from one side of the form to the other is critical because of weatherproofing in outdoor applications. The company require is that the width of the trough be between 8.31inches and 8.61 inches. The following are the widths of the trough in inches for a sample of n=49

8.312 8.343 8.317 8.383 8.348 8.410 8.351 8.373 8.481 8.422 8.476 8.382 8.484 8.403 8.414 8.419 8.385 8.465 8.498 8.447 8.436 8.413 8.489 8.414 8.481 8.415 8.479 8.429

8.458 8.462 8.460 8.444 8.429 8.460 8.412 8.420 8.410 8.405 8.323 8.420 8.396 8.447

8.405 8.439 8.411 8.427 8.420 8.498 8.409

a. create an ordered array

b. Create intervals in a chart ( hint: you will have 10 intervals, starting with 8.310)

c. Construct a frequency distribution and percentage distribution

d. Plot the histogram

Answer 1

a) Ordered array is the array in which we arrange the values in ascending or descending order and duplicate values can be there.

Ordered Array

8.312

8.317

8.323

8.343

8.348

8.351

8.373

8.382

8.383

8.385

8.396

8.403

8.405

8.409

8.41

8.411

8.412

8.413

8.414

8.415

8.419

8.42

8.422

8.427

8.429

8.436

8.439

8.444

8.447

8.458

8.46

8.462

8.465

8.476

8.479

8.481

8.484

8.489

8.498

Frequency Distribution Table

Values Frequency Cumulative Frequency

8.312 1 1

8.317 1 2

8.323 1 3

8.343 1 4

8.348 1 5

8.351 1 6

8.373 1 7

8.382 1 8

8.383 1 9

8.385 1 10

8.396 1 11

8.403 1 12

8.405 2 14

8.409 1 15

8.41 2 17

8.411 1 18

8.412 1 19

8.413 1 20

8.414 2 22

8.415 1 23

8.419 1 24

8.42 3 27

8.422 1 28

8.427 1 29

8.429 2 31

8.436 1 32

8.439 1 33

8.444 1 34

8.447 2 36

8.458 1 37

8.46 2 39

8.462 1 40

8.465 1 41

8.476 1 42

8.479 1 43

8.481 2 45

8.484 1 46

8.489 1 47

8.498 2 49

Frequency Distribution Table And Percentage Distribution Table With Class Intervals

Class-Intervals Frequency Cumulative Frequency Percentage Distribution

8.31-8.34 3 3 6.122449

8.34-8.37 3 6 6.122449

8.37-8.40 5 11 10.20408

8.4-8.43 20 31 40.81633

8.43-8.46 8 39 16.32653

8.46-8.49 8 47 16.32653

8.49-8.52 2 49 4.081633

8.52-855 0 49 0 0

8.55-8.58 0 49 0 0

8.58-8.61 0 49 0 0

total 49 100