To determine how Yasmine's mean and median tip earnings will change after she makes an additional $25.32, we'll first update her total earnings and then recalculate the mean and median.
Current Earnings:
- Night 1: $35.80
- Night 2: $79.60
- Night 3: $38.10
- Night 4: $20.50
- Night 5: $10.45
- Night 6: $96.78
- Night 7: $45.90
Current Statistics:
- Total Earnings: \( 35.80 + 79.60 + 38.10 + 20.50 + 10.45 + 96.78 + 45.90 = 326.13 \)
- Number of Nights: 7
- Mean Tip Earnings: \( \text{Mean} = \frac{326.13}{7} \approx 46.73 \) (confirmed)
- Median Tip Earnings: The sorted earnings are:
- $10.45, $20.50, $35.80, $38.10, $45.90, $79.60, $96.78
- Since there are 7 values, the median is the 4th value, which is $38.10 (confirmed).
Update for the 8th Night:
Yasmine earns $25.32 in tips next:
- New Total Earnings: \[ 326.13 + 25.32 = 351.45 \]
- New Number of Nights: \[ 7 + 1 = 8 \]
New Mean:
- Calculate the new mean: \[ \text{New Mean} = \frac{351.45}{8} \approx 43.93 \]
New Median:
- New Earnings List (including the new tip):
- $10.45, $20.50, $25.32, $35.80, $38.10, $45.90, $79.60, $96.78
- Sorted list:
- $10.45, $20.50, $25.32, $35.80, $38.10, $45.90, $79.60, $96.78
- Since there are 8 values, the median will be the average of the 4th and 5th numbers: \[ \text{New Median} = \frac{35.80 + 38.10}{2} = \frac{73.90}{2} = 36.95 \]
Summary:
- New Mean: \( 43.93 \)
- New Median: \( 36.95 \)
Thus, after earning an additional $25.32, Yasmine's new mean tip earnings is approximately $43.93 and her new median tip earnings is approximately $36.95.