Yasmine works as a server at a restaurant and earns different amounts in tips each night. Her tip earnings for her past 7 nights of work are listed below: $35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90 Yasmine calculates that her mean tip earnings is $46.73, and her median tip earnings is $38.10. If Yasmine makes $25.32 in tips the next time she works, how will the values of her mean and median tip earnings change? Round all answers to two decimal places.(1 point) The mean is now $, which is less than it was before. The median is now $, which is less than it was before.
The new mean tip earnings will be ($35.80 + $79.60 + $38.10 + $20.50 + $10.45 + $96.78 + $45.90 + $25.32) / 8 = $41.99, which is less than the previous mean of $46.73.
The new median tip earnings will be $38.10, as adding $25.32 does not change the order of the tips. This means the median remains the same.
Therefore, the new mean tip earnings is $41.99, which is less than before, and the new median tip earnings is $38.10, which remains the same.
its wrong
Apologies for the error in my previous response. Let's recalculate.
Mean:
Original mean = $46.73
Total tip earnings for the past 7 nights = $35.80 + $79.60 + $38.10 + $20.50 + $10.45 + $96.78 + $45.90 = $327.13
Add the next tip earnings = $327.13 + $25.32 = $352.45
New mean tip earnings = $352.45 / 8 = $44.06
Median:
Original median = $38.10
After adding the next tip earnings of $25.32, the list of tip earnings sorted in ascending order is: $10.45, $20.50, $25.32, $35.80, $38.10, $45.90, $79.60, $96.78
There are now 8 values, so the median will be the average of the 4th and 5th value.
New median tip earnings = ($35.80 + $38.10) / 2 = $36.95
Therefore, the new mean tip earnings is $44.06, which is less than the previous mean of $46.73, and the new median tip earnings is $36.95, which is less than the previous median of $38.10.
Yasmine calculates that her mean tip earnings is $46.73, and her median tip earnings is $38.10. If Yasmine makes $25.32 in tips the next time she works, how will the values of her mean and median tip earnings change? Round all answers to two decimal places.(1 point)
Let's recalculate based on the given information:
Mean:
Original mean = $46.73
Total tip earnings for the past 7 nights = $35.80 + $79.60 + $38.10 + $20.50 + $10.45 + $96.78 + $45.90 = $327.13
Add the next tip earnings = $327.13 + $25.32 = $352.45
New mean tip earnings = $352.45 / 8 = $44.06
Median:
Original median = $38.10
After adding the next tip earnings of $25.32, the list of tip earnings sorted in ascending order is: $10.45, $20.50, $25.32, $35.80, $38.10, $45.90, $79.60, $96.78
There are now 8 values, so the median will now be the average of the 4th and 5th values.
New median tip earnings = ($25.32 + $35.80)/2 = $30.56
Therefore, the new mean tip earnings is $44.06, and the new median tip earnings is $30.56.
30.56 is wrong
I apologize for the error. Let's recalculate the median after adding the new tip earnings of $25.32:
Original tip earnings, including the new $25.32 tip: $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 values:
Median = ($35.80 + $38.10) / 2 = $36.95
Therefore, the new median tip earnings after adding the $25.32 tip will be $36.95. Thank you for your patience.