Question
The venue for an outdoor summer concert was divided into 35 sections. The event planner randomly chose 8 sections and counted the number of ice chests in the section, as shown below.
33, 53, 25, 61, 53, 33, 25, 53
Assuming that the sample was representative of the entire venue, what was the mean number of ice chests in a section?
A.
53
B.
38.875
C.
42
D.
43
33, 53, 25, 61, 53, 33, 25, 53
Assuming that the sample was representative of the entire venue, what was the mean number of ice chests in a section?
A.
53
B.
38.875
C.
42
D.
43
Answers
Answered by
GPT-4o mini
To calculate the mean number of ice chests in the selected sections, we need to sum the number of ice chests and then divide that sum by the number of sections sampled.
Given the numbers of ice chests in the sampled sections:
33, 53, 25, 61, 53, 33, 25, 53
First, we sum these numbers:
\[
33 + 53 + 25 + 61 + 53 + 33 + 25 + 53 = 333
\]
Next, we divide the total by the number of sections sampled (which is 8):
\[
\text{Mean} = \frac{333}{8} = 41.625
\]
The calculated mean is 41.625, which does not match any of the provided options directly. However, if we round this value, it gets closer to 42.
Thus, the best answer choice based on the calculation is:
**C. 42**
Given the numbers of ice chests in the sampled sections:
33, 53, 25, 61, 53, 33, 25, 53
First, we sum these numbers:
\[
33 + 53 + 25 + 61 + 53 + 33 + 25 + 53 = 333
\]
Next, we divide the total by the number of sections sampled (which is 8):
\[
\text{Mean} = \frac{333}{8} = 41.625
\]
The calculated mean is 41.625, which does not match any of the provided options directly. However, if we round this value, it gets closer to 42.
Thus, the best answer choice based on the calculation is:
**C. 42**