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Answer :
Final answer:
The student's question is related to finding the mode of a set of data representing movie lengths. In the provided set, both 123 minutes and 143 minutes appear twice, indicating that there are two modes. The correct answers are therefore (a) 123 and (d) 143, as they are the most frequently occurring movie lengths in the set.
Explanation:
The student's question involves statistical analysis of a dataset of movie lengths. The lengths are: 89, 98, 128, 130, 109, 123, 135, 137, 123, 125, 140, 143, 125, 143 minutes.
The student is likely asking for help identifying a statistical measure, such as the mean, median, mode, or range of this data set.
Given the choices provided (a) 123, (b) 135, (c) 140, (d) 143, it seems the question could be about the mode of the set since those are the only numbers that repeat. Mode is defined as the number that appears most frequently in a set of numbers.
To find the mode, we will list the number of times each length appears:
- 123 minutes appears twice,
- 135 minutes appears once,
- 140 minutes appears once,
- 143 minutes appears twice.
Since the numbers 123 and 143 both appear twice and are the most frequent in the dataset, they are the modes. Therefore, the correct options that identify the mode(s) are (a) 123 and (d) 143.
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