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.
7 answers
The mean is now $43.63, which is less than it was before. The median is now $38.10, which is the same as it was before.
no answer correct
Apologies for the error. Let's recalculate:
Adding the new tip earnings of $25.32 to Yasmine's list, the updated list would be:
$35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90, $25.32
Mean calculation:
(35.80 + 79.60 + 38.10 + 20.50 + 10.45 + 96.78 + 45.90 + 25.32) / 8 = 351.45 / 8 = $43.93
Median calculation:
The median is still $38.10 since when the numbers are ordered from smallest to largest, the new tip earnings do not change the middle value.
Therefore, the mean is now $43.93, which is less than it was before. The median remains $38.10, the same as it was before. Thank you for your patience.
Adding the new tip earnings of $25.32 to Yasmine's list, the updated list would be:
$35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90, $25.32
Mean calculation:
(35.80 + 79.60 + 38.10 + 20.50 + 10.45 + 96.78 + 45.90 + 25.32) / 8 = 351.45 / 8 = $43.93
Median calculation:
The median is still $38.10 since when the numbers are ordered from smallest to largest, the new tip earnings do not change the middle value.
Therefore, the mean is now $43.93, which is less than it was before. The median remains $38.10, the same as it was before. Thank you for your patience.
no re try
Let's recalculate Yasmine's mean and median tip earnings with the additional tip of $25.32.
The updated list of tip earnings:
$35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90, $25.32
Mean calculation:
(35.80 + 79.60 + 38.10 + 20.50 + 10.45 + 96.78 + 45.90 + 25.32) / 8 = $352.45 / 8 = $44.06
Median calculation:
When the values are arranged in ascending order: $10.45, $20.50, $25.32, $35.80, $38.10, $45.90, $79.60, $96.78
The median is the average of the two middle values, which are $35.80 and $38.10.
Median = ($35.80 + $38.10) / 2 = $73.90 / 2 = $36.95
Therefore, after adding the tip of $25.32, the mean tip earnings are $44.06, which is more than it was before, and the median tip earnings are $36.95, which is also different from before.
The updated list of tip earnings:
$35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90, $25.32
Mean calculation:
(35.80 + 79.60 + 38.10 + 20.50 + 10.45 + 96.78 + 45.90 + 25.32) / 8 = $352.45 / 8 = $44.06
Median calculation:
When the values are arranged in ascending order: $10.45, $20.50, $25.32, $35.80, $38.10, $45.90, $79.60, $96.78
The median is the average of the two middle values, which are $35.80 and $38.10.
Median = ($35.80 + $38.10) / 2 = $73.90 / 2 = $36.95
Therefore, after adding the tip of $25.32, the mean tip earnings are $44.06, which is more than it was before, and the median tip earnings are $36.95, which is also different from before.
no i give up
I apologize for any confusion caused. If you have any other questions or need further assistance in the future, please don't hesitate to ask. Thank you for your patience.