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The shear strengths of50 spot welds in a titanium alloy follow. Find by formula

ID: 3202527 • Letter: T

Question

The shear strengths of50 spot welds in a titanium alloy follow. Find by formula the median, the quartiles (Q1, Q3), Interquartile range (IOR), and the 5th and 95^th percentiles for the weld strength data 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 Construct a cumulative frequency plot and histogram for the weld strength data from data problem 1. Use 8 bins. Use 16 bins and compare with part (a).

Explanation / Answer

given data is

5407,5469,5416,5377,5454,5375,5409,5459,5445,5429
5463,5408,5481,5453,5422,5354,5421,5406,5414,5466
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

Summary

Minimum: 5329
Quartile Q1: 5397.5
Median: 5422
Quartile Q3: 5453.5
Maximum: 54295463

Standard deviation =7676172.0304
Median: 5422
Interquartile range IQR: 56
Coefficient of variation cV=6.965903902

5th percentile = 5375.9

95th percentile= 5479.2

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