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. The range of the original dataset is $35.45, and the range of the new dataset is $87.75.
2. The range of the original dataset is $86.33, and the range of the new dataset is $87.75.
3. The range of the original dataset is $10.10, and the range of the new dataset is $62.40.
4. The range of the original dataset is $10.10, and the range of the new dataset is also $10.10.
4. The range of the original dataset is $10.10, and the range of the new dataset is also $10.10.
To find the range of a dataset, you subtract the minimum value from the maximum value.
For the original dataset:
Maximum value = $96.78
Minimum value = $10.45
Range = $96.78 - $10.45 = $86.33
For the new dataset with the additional data point of $98.20:
Maximum value = $98.20
Minimum value = $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 is $87.75.