Question

Yasmine works as a server at a restaurant and earns different amounts in tips each night. Her tio earnings for her last 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 decimals.

Answer 1

First compute the new mean.

- Old sum = 35.80+79.60+38.10+20.50+10.45+96.78+45.90 = 327.13
- New sum = 327.13 + 25.32 = 352.45
- New mean = 352.45 / 8 = 44.05625 → $44.06 (rounded)

Change in mean: $44.06 − $46.73 = −$2.67 (mean decreases by $2.67).

Now the median. Sort the 8 values:
10.45, 20.50, 25.32, 35.80, 38.10, 45.90, 79.60, 96.78.
Median = average of 4th and 5th = (35.80 + 38.10) / 2 = 36.95 → $36.95.

Change in median: $36.95 − $38.10 = −$1.15 (median decreases by $1.15).

Answer: new mean = $44.06, new median = $36.95.