- ahmad alhayek

 

2-15. The following data are the numbers of cycles to failure of aluminum test coupons subjected to repeated alternating stress at 21,000 psi, 18 cycles per second: 1115 1310 1540 1502 1258 1315 1085 798 1020 865 2130 1421 1109 1481 1567 1883 1203 1270 1015 845 1674 1016 1102 1605 706 2215 785 885 1223 375 2265 1910 1018 1452 1890 2100 1594 2023 1315 1269 1260 1888 1782 1522 1792 1000 1820 1940 1120 910 1730 1102 1578 758 1416 1560 1055 1764 1330 1608 1535 1781 1750 1501 1238 990 1468 1512 1750 1642 (a) Construct a stem-and-leaf display for these data (b) Does it appear likely that a coupon will survive beyond 2000 cycles? Justify your answer.

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    Minimum:375
    Maximum:2265
    Count:70
    Sum:98256
    Mean:1404
    Median:1456
    Mode:1315
    Standard Deviation:402.7
    Variance:162200

    Stem and Leaf Display

       Stems Leaves
           2|23
           2|011
           1|888888899999
           1|666666677
           1|45555555555
           1|22223333333
           1|0000001111111
           0|8888999
           0|7
           0|4
    

    Multiply stems by 1000. Multiply leaves by 100 if stem is positve or by -100 if stem is negative.

    Thus, 2000 is likely to be in the tail-portion of the plot.

    Now,

    11151567122317821055
    1310188337515221764
    15401203226517921330
    15021270191010001608
    12581015101818201535
    1315845145219401781
    10851674189011201750
    798101621009101501
    10201102159417301238
    865160520231102990
    2130706131515781468
    1421221512697581512
    1109785126014161750
    1481885188815601642
    Median=1436.5
    Q1=1102
    Q3=1716
    5th percentile=790.85
    95th Percentile=2065.35
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ahmad alhayek تصميم ahmad alhayek جميع الحقوق محفوظة 2016

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