Answer :
For the Hawkins Company, the monthly percentages of all shipments received on time over the past 12 months are as follows: 80%, 82%, 84%, 83%, 83%, 84%, 85%, 84%, 82%, 83%, 84%, and 83%. From these percentages, we can see that the Hawkins Company has been consistently receiving shipments on time, with only slight fluctuations in the percentages from month to month. To further analyze these percentages, we can calculate the mean (average) and median (middle value) of the data set.
The mean can be found by adding up all of the percentages and dividing by the number of data points:
(80 + 82 + 84 + 83 + 83 + 84 + 85 + 84 + 82 + 83 + 84 + 83) / 12 = 83.33%.
This means that on average, the Hawkins Company received 83.33% of their shipments on time over the past 12 months. The median can be found by arranging the data set in order from smallest to largest and finding the middle value: 80%, 82%, 82%, 83%, 83%, 83%, 84%, 84%, 84%, 84%, 85%, and 84%.
The middle value is the average of the two middle numbers, which in this case are 83% and 84%.
(83 + 84) / 2 = 83.5%.
This means that the median percentage of shipments received on time for the Hawkins Company over the past 12 months is 83.5%.
Overall, the Hawkins Company has a good track record of receiving shipments on time, with an average percentage of 83.33% and a median percentage of 83.5%. However, it's important to note that there may be other factors at play that could affect the company's shipment delivery, such as supplier delays or unforeseen circumstances, which could impact these percentages.
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Final answer:
The question involves analyzing statistical data and probabilities, which requires mathematical knowledge typically taught in high school or introductory college statistics courses.
Explanation:
The subject matter presented here involves analysis of data represented in the form of monthly percentages, probability calculations, and understanding of statistical concepts such as percentile and sample mean, which are all topics within the Mathematical field, more specifically within statistics.
This includes a focus on a range of examples such as the percent of shipments received on time by the Hawkins company, consumer behavior in terms of return and new percentages, the handling of exceeded time allowances by customers, and the probability of defective cars in a sample from an assembly line.
The scenarios mentioned involve computations to determine trends, averages, and probabilities, which are typically covered in a high school statistics curriculum.
This practical application of statistical methods may also extend to a college-level introductory statistics course.
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