C. The breaking strength of 80 test pieces of a certain alloy is given in the...
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C. The breaking strength of 80 "test pieces" of a certain alloy is given in the following table, the unit being given to the nearest thousand grams per square inch. Breaking strength 44-46 46-48 48-50 50-52 52-54 Number of pieces 3 24 27 21 5 (i) Calculate the average breaking strength (ii) Calculate the standard deviation of the breaking strength. Page 2 of 4 [4 Marks] [4 Marks] (iii) Calculate the percentage of observations lying between two standard deviations of the mean. [4 Marks] C. The breaking strength of 80 "test pieces" of a certain alloy is given in the following table, the unit being given to the nearest thousand grams per square inch. Breaking strength 44-46 46-48 48-50 50-52 52-54 Number of pieces 3 24 27 21 5 (i) Calculate the average breaking strength (ii) Calculate the standard deviation of the breaking strength. Page 2 of 4 [4 Marks] [4 Marks] (iii) Calculate the percentage of observations lying between two standard deviations of the mean. [4 Marks]
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