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Yasmine works as a server in a restaurant and earns different amounts in tips each night. Her earnings in tips over the course of 8 nights of work are shown in the following dataset. Find the mode of the dataset and explain whether the mode is descriptive of the dataset. {$10.45,$10.45,$35.80,$38.10,$40.90,$45.90,$79.60,$96.78} (1 point) Responses The mode of the dataset is $39.50. The mode is descriptive of the dataset because it is in the center of the dataset. The mode of the dataset is $39.50. The mode is descriptive of the dataset because it is in the center of the dataset. The mode of the dataset is $86.33. The mode is not descriptive of the dataset because it does not describe the center of the data. The mode of the dataset is $86.33. The mode is not descriptive of the dataset because it does not describe the center of the data. The mode of the dataset is $10.45. The mode is descriptive of the dataset because it is the most common value. The mode of the dataset is $10.45. The mode is descriptive of the dataset because it is the most common value. The mode of the dataset is $10.45. The mode is not descriptive of the dataset because it does not describe the center of the data.

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To find the mode of the dataset, we need to identify the value that appears most frequently. The dataset is:

{$10.45, $10.45, $35.80, $38.10, $40.90, $45.90, $79.60, $96.78}

In this dataset, the value $10.45 appears twice, while all the other values appear only once. Therefore, the mode is $10.45.

Now let's analyze whether this mode is descriptive of the dataset. The mode is $10.45, which is the most common value. However, it is also the lowest value in the dataset, which may not fully represent the overall range of tips Yasmine earns.

Therefore, while the mode does indicate a common tip amount, it may not be a good indicator of Yasmine's typical earnings because it doesn't account for the higher values present in the dataset.

The correct response is: The mode of the dataset is $10.45. The mode is descriptive of the dataset because it is the most common value.