Wide Awake typically sells more coffee per hour, with a higher mean value of approximately 6.26 gallons, compared to Coffee Ground's mean value of 5.25 gallons. (option B)
To determine which shop typically sells the most amount of coffee per hour, we need to compare the measures of center (mean and median) for each shop. Calculating the mean and median for both shops:
Wide Awake:
- Mean: (12 + 1.5 + 20 + 3.5 + 2.5 + 10 + 4 + 12 + 2 + 5 + 18 + 4 + 3 + 11 + 7 + 2.5 + 3 + 6.5 + 15 + 9.5 + 3 + 5 + 6 + 5 + 2.5) / 25
6.26
- Median: = 5
Coffee Ground:
- Mean: (4.5 + 2 + 6.5 + 15 + 9.5 + 3 + 5 + 6 + 5 + 2.5) / 10 = 5.25
- Median: 5
Comparing the measures of center:
- Wide Awake: Mean ≈ 6.26, Median = 5
- Coffee Ground: Mean = 5.25, Median = 5
The correct answer is:
B: Wide Awake, with a mean value of about 6.26 gallons.
The complete question is:
The data given represents the number of gallons of coffee sold per hour at two different coffee shops
Coffee Ground. Wide Awake 12
1.5 20 3.5 2.5 10 4
12 2 5 18 4 3
11 7 2.5 3 6.5 15
9.5 3 5 6 5 2.5
Compare the data and use the correct measure of center to determine which shop typically sells the most amount of coffee per hour
A:Wide Awake, with a median value of 4.5 gallons
B:Wide Awake, with a mean value of about 4.5 gallons
C:Coffee Ground, with a mean value of about 5 gallons
D:Coffee Ground, with a median value of 5 gallons