Question

11) An article in the journal of statistical engineering describes an experiment to test the yield strength of circular tubes with caps welded to the ends. The first yields (in KN) are given using the following frequency distribution: (20 points) X: Yields (in KN) I f Idole for 1454.00 96 = £32.18 102 104 2 0011 108 1 o.or - 126 20.11 10. 128 Modiat 140 156 160 164 170 2.1 Mode is #oppening the most time 10.06 1 10.06 (ol oppears 3 times 2 0.14 1 10.06 Median of samples is odde 1 10.06 nedion is in the conteu botu 1-18 Jodlin - 14,02 from top und s from botta n=11 8 a) Mean: 131. 18 Delusive frequency Find the followings: 12622 a) Mean: b) Mode: c) Median: 128 beste al free d) Relative frequency corresponding to score 128 402 tant element in safety.

Answer 1

d. Relative frequency corresponding to 128 from the table is 0.11 or 11.11 %

96 Relatile freq (+1) Mode 1102 104 0.67 0.11 Tos 0.05 126 1128 140 156 160 164 170 192 306 208 108 252 256 140 156 320 164 170 2 0.05 o.os- 011 0.05 o.os- Total - Efi= 18 Exifi= 2272 2272 a. Meass = - = 12.6-22 Exifi Efi Mode is b. Mode = the yields which has Highest frequency In the table 102 has highest frequency. Mode = 102 . c. Median - It is the Middle most value of the data. No of Observation is 18. As this is even so median will be average of 18 = 9th and 18 + 1 = 10th data. We can see 9th and loth both are 126. : Median - 126+124, 126. . Median= 126.