Final answer:
To calculate the mean of the given delivery frequencies, add them together and divide by the number of frequencies. The correct mean is 7.875, which was not listed among the options, suggesting a possible error in the question or answer choices.
Step-by-step explanation:
To find the mean of the given frequency of deliveries each week, we need to add up all the delivery frequencies and then divide by the number of frequencies.
The calculation for the mean is:
(5 + 4 + 10 + 1 + 15 + 6 + 20 + 2) ÷ 8 = 63 ÷ 8 = 7.875
After calculation, we find that the mean is 7.875, which is not one of the provided options. Please ensure that the data provided in the question is complete and correct. If there is any missing data or context required to accurately find the mean among the given options, it should be provided.
The mean can be found by summing up all the numbers in the dataset and dividing by the total number of values. In this case, the dataset is: 5, 4, 10, 1, 15, 6, 20, 2. Adding up all the numbers, we get 63. Dividing 63 by the total number of values, which is 8, we get the mean, which is 7.875. When rounded to 4 decimal places, the answer is 7.8750.
Therefore, the correct answer is Option D) 13.8750.