Construct a stem and leaf plot and answer the following: 2-15. The following dat
ID: 3124583 • Letter: C
Question
Construct a stem and leaf plot and answer the following:
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.Explanation / Answer
Stem and Leaf Display
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,
Minimum: 375 Maximum: 2265 Count: 70 Sum: 98256 Mean: 1404 Median: 1456 Mode: 1315 Standard Deviation: 402.7 Variance: 162200