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
A. The range of the original dataset is $86.33, and the range of the new dataset is $87.75.
B. The range of the original dataset is $10.10, and the range of the new dataset is also $10.10.
C. The range of the original dataset is $35.45, and the range of the new dataset is $87.75.
D. The range of the original dataset is $10.10, and the range of the new dataset is $62.40.
The range of a dataset is calculated by subtracting the minimum value from the maximum value.
Original dataset: {$35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90}
Maximum: $96.78
Minimum: $10.45
Range = $96.78 - $10.45 = $86.33
New dataset with additional data point of $98.20: {$35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90, $98.20}
Maximum: $98.20
Minimum: $10.45
Range = $98.20 - $10.45 = $87.75
Therefore, the range of the original dataset is $86.33, and the range of the new dataset with the additional data point is $87.75.
Answer: A. The range of the original dataset is $86.33, and the range of the new dataset is $87.75.