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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger
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The shear strengths of 100 spot welds in a titanium alloy

Chapter 6, Problem 39E

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QUESTION:

The shear strengths of 100 spot welds in a titanium alloy follow. Construct a stem-and-leaf diagram for the weld strength data and comment on any important features that you notice. What is the 95th percentile of strength?

5408 5431 5475 5442 5376 5388 5459 5422 5416 5435

5420 5429 5401 5446 5487 5416 5382 5357 5388 5457

5407 5469 5416 5377 5454 5375 5409 5459 5445 5429

5463 5408 5481 5453 5422 5354 5421 5406 5444 5466

5399 5391 5477 5447 5329 5473 5423 5441 5412 5384

5445 5436 5454 5453 5428 5418 5465 5427 5421 5396

5381 5425 5388 5388 5378 5481 5387 5440 5482 5406

5401 5411 5399 5431 5440 5413 5406 5342 5452 5420

5458 5485 5431 5416 5431 5390 5399 5435 5387 5462

5383 5401 5407 5385 5440 5422 5448 5366 5430 5418

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QUESTION:

The shear strengths of 100 spot welds in a titanium alloy follow. Construct a stem-and-leaf diagram for the weld strength data and comment on any important features that you notice. What is the 95th percentile of strength?

5408 5431 5475 5442 5376 5388 5459 5422 5416 5435

5420 5429 5401 5446 5487 5416 5382 5357 5388 5457

5407 5469 5416 5377 5454 5375 5409 5459 5445 5429

5463 5408 5481 5453 5422 5354 5421 5406 5444 5466

5399 5391 5477 5447 5329 5473 5423 5441 5412 5384

5445 5436 5454 5453 5428 5418 5465 5427 5421 5396

5381 5425 5388 5388 5378 5481 5387 5440 5482 5406

5401 5411 5399 5431 5440 5413 5406 5342 5452 5420

5458 5485 5431 5416 5431 5390 5399 5435 5387 5462

5383 5401 5407 5385 5440 5422 5448 5366 5430 5418

ANSWER:

Step 1 of 2

A stem-and-leaf diagram is a good way to obtain an informative visual display of a data set  where each number  consists of at least two digits. To construct a stem-and leaf diagram, use the following steps.

Divide each number  into two parts: a stem, consisting of one or more of the leading digits, and a leaf, consisting of the remaining digit. List the stem values in a vertical column. Record the leaf for each observation beside its stem. Write the units for stems and leaves on the display.

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