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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 7 nights of work are shown in the following dataset. {$35.80,$79.60,$38.10,$20.50,$10.45,$96.78,$45.90} After Yasmine creates the dataset, she works an additional night and earns $98.20 in tips. Determine the range of the original dataset and the range of the new dataset with the new data point of $98.20 added. (1 point) Responses The range of the original dataset is $10.10, and the range of the new dataset is $62.40. The range of the original dataset is $10.10, and the range of the new dataset is $62.40. The range of the original dataset is $86.33, and the range of the new dataset is $87.75. The range of the original dataset is $86.33, and the range of the new dataset is $87.75. The range of the original dataset is $35.45, and the range of the new dataset is $87.75. The range of the original dataset is $35.45, and the range of the new dataset is $87.75. The range of the original dataset is $10.10, and the range of the new dataset is also $10.10.

1 answer

To determine the range of a dataset, you subtract the minimum value from the maximum value.

Original dataset: {$35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90}

  1. Identify the minimum and maximum values:

    • Minimum = $10.45
    • Maximum = $96.78

  2. Calculate the range:

    • Range = Maximum - Minimum
    • Range = $96.78 - $10.45 = $86.33

Now let's add the new data point of $98.20 and find the range of the new dataset.

New dataset: {$35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90, $98.20}

  1. Identify the new minimum and maximum values:

    • Minimum = $10.45
    • Maximum = $98.20

  2. Calculate the new range:

    • Range = Maximum - Minimum
    • Range = $98.20 - $10.45 = $87.75

So, the ranges are:

  • The range of the original dataset is $86.33.
  • The range of the new dataset is $87.75.

Thus, the correct response is: The range of the original dataset is $86.33, and the range of the new dataset is $87.75.