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.
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 $35.45, and the range of the new dataset is $87.75.
C- The range of the original dataset is $10.10, and the range of the new dataset is $62.40.
D- The range of the original dataset is $10.10, and the range of the new dataset is also $10.10.
A- The range of the original dataset is $86.33, and the range of the new dataset is $87.75.
To calculate the range of the original dataset, we need to find the difference between the maximum and minimum values:
Range = $96.78 - $10.45 = $86.33
After adding the new data point of $98.20 to the dataset, the new maximum value is $98.20 and the new minimum value is $10.45. The range of the new dataset is calculated as:
Range = $98.20 - $10.45 = $87.75