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Dave works as a waiter. He is calculating his average tips from the past two weeks. His total tips from each night can be found in the table below, with all values in dollars.

| Day | Sun | Mon | Tue | Wed | Thu | Fri | Sat |
|--------|--------|--------|--------|--------|--------|--------|--------|
| Week 1 | 100.85 | 166.57 | 135.74 | 148.12 | 113.94 | 190.13 | 235.31 |
| Week 2 | 102.57 | 124.02 | 142.40 | 108.60 | 110.50 | 163.82 | 183.01 |

Find the mean of Dave's nightly tips. Round to the nearest cent, if necessary.

a. [tex]$168.08
b. $[/tex]144.68
c. [tex]$139.07
d. $[/tex]133.56



Answer :

GinnyAnswer
To find the mean of Dave's nightly tips over the past two weeks, we need to follow these steps:

1. List the tips from each day for both weeks:

Week 1:
- Sunday: [tex]$100.85 - Monday: $[/tex]166.57
- Tuesday: [tex]$135.74 - Wednesday: $[/tex]148.12
- Thursday: [tex]$113.94 - Friday: $[/tex]190.13
- Saturday: [tex]$235.31 Week 2: - Sunday: $[/tex]102.57
- Monday: [tex]$124.02 - Tuesday: $[/tex]142.40
- Wednesday: [tex]$108.60 - Thursday: $[/tex]110.50
- Friday: [tex]$163.82 - Saturday: $[/tex]183.01

2. Combine all tips into a single list to represent the 14 days:

[tex]\[100.85, 166.57, 135.74, 148.12, 113.94, 190.13, 235.31, 102.57, 124.02, 142.40, 108.60, 110.50, 163.82, 183.01 \][/tex]

3. Calculate the total sum of tips:

Add all the tips together:
[tex]\[ 100.85 + 166.57 + 135.74 + 148.12 + 113.94 + 190.13 + 235.31 + 102.57 + 124.02 + 142.40 + 108.60 + 110.50 + 163.82 + 183.01 = 2025.08 \][/tex]

4. Count the number of days:

There are 7 days in each week, and since Dave is calculating tips over two weeks:
[tex]\[ 7 \text{ days/week} \times 2 \text{ weeks} = 14 \text{ days} \][/tex]

5. Calculate the mean (average) nightly tips:

Divide the total sum by the number of days:
[tex]\[ \frac{2025.08}{14} \approx 144.68 \][/tex]

6. Round to the nearest cent:

[tex]\[ 144.68 \][/tex]

Thus, the mean of Dave's nightly tips over the past two weeks, rounded to the nearest cent, is [tex]\(\$144.68\)[/tex].

Therefore, the correct answer is:
b. [tex]\(\$144.68\)[/tex]

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