The defect length of a corrosion defect in a pressurizedsteel pipe is normally distributed with mean value 30 mmand standard deviation 7.8 mm [suggested in the article“Reliability Evaluation of Corroding PipelinesConsidering Multiple Failure Modes and TimeDependentInternal Pressure” (J. of InfrastructureSystems, 2011: 216–224)].a. What is the probability that defect length is at most20 mm? Less than 20 mm?b. What is the 75th percentile of the defect length distribution—that is, the value that separates the smallest75% of all lengths from the largest 25%?c. What is the 15th percentile of the defect lengthdistribution?d. What values separate the middle 80% of the defectlength distribution from the smallest 10% and thelargest 10%?
The defect length of a corrosion defect in a pressurizedsteel pipe is normally distributed with mean value 30 mmand standard deviation 7.8 mm [suggested in the article“Reliability Evaluation of Corroding PipelinesConsidering Multiple Failure Modes and TimeDependentInternal Pressure” (J. of InfrastructureSystems, 2011: 216–224)].a. What is the probability that defect length is at most20 mm? Less than 20 mm?b. What is the 75th percentile of the defect length distribution—that is, the value that separates the smallest75% of all lengths from the largest 25%?c. What is the 15th percentile of the defect lengthdistribution?d. What values separate the middle 80% of the defectlength distribution from the smallest 10% and thelargest 10%?
The defect length of a corrosion defect in a pressurizedsteel pipe is normally distributed with mean value 30 mmand standard deviation 7.8 mm [suggested in the article“Reliability Evaluation of Corroding PipelinesConsidering Multiple Failure Modes and TimeDependentInternal Pressure” (J. of InfrastructureSystems, 2011: 216–224)].a. What is the probability that defect length is at most20 mm? Less than 20 mm?b. What is the 75th percentile of the defect length distribution—that is, the value that separates the smallest75% of all lengths from the largest 25%?c. What is the 15th percentile of the defect lengthdistribution?d. What values separate the middle 80% of the defectlength distribution from the smallest 10% and thelargest 10%?
The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard deviation 7.8 mm [suggested in the article “Reliability Evaluation of Corroding Pipelines Considering Multiple Failure Modes and TimeDependent Internal Pressure” (J. of Infrastructure Systems, 2011: 216–224)]. a. What is the probability that defect length is at most 20 mm? Less than 20 mm? b. What is the 75th percentile of the defect length distribution— that is, the value that separates the smallest 75% of all lengths from the largest 25%? c. What is the 15th percentile of the defect length distribution? d. What values separate the middle 80% of the defect length distribution from the smallest 10% and the largest 10%?
Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.
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