I just need some guidance on where to even start. Thanks! Here is a data set: 49

Question

I just need some guidance on where to even start. Thanks!

Here is a data set: 494 527 | 583 | 453 584 539 442 517 503 588 621 502 525 531 452 593 386 467 552 484 427 525 457 521 379 458 507 523 The goal is to construct a grouped frequency distribution table (GFDT) for this data set. The GFDT should have 10 classes with a "nice" class width. Each class should contain its lower class limit, and the lower class limits should all be multiples of the class width. This problem is to determine what the class width and the first lower class limit should be. What is the best class width for this data set? optimal class width = What should be the first lower class limit? 1st lower class limit =

Explanation / Answer

From the data

largest observation L = 621

Smallest observation = 379

Number of classes = 10

Class width of each class = (L-S) / 10 = (621-379)/10=242 /10 = 24.2 = 25 ( next integer)

Since upper and lower limit of each class is multiple of class width ( i.e. 25)

Hence the classes are

a) Optimal Class width = 25

b) First lower class limit = 375

Class No. Class 1 375-400 2 400-425 3 425-450 4 450-475 5 475-500 6 500-525 7 525-550 8 550-575 9 575-600 10 600-625

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