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Every branch with average weekly visitors between 1,500 and 2,000 has fewer study rooms than the system-wide average.: False
There is a positive correlation between the number of public computers and the average number of weekly visitors.: True
Branches with fewer study rooms than the system-wide average are less likely to have a makerspace than branches with more study rooms than the system-wide average.: True
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
67% (02:03) correct
33%
(02:14)
wrong
based on 115
sessions
History
Date
Time
Result
Not Attempted Yet
A city library system compared 11 of its branches. The table shows the number of study rooms and public computers at each branch, whether the branch has a makerspace, café, and parking, and its average number of weekly visitors. System-wide averages are included where appropriate.
For each of the following statements, select True if the statement can be verified to be true based on the information provided. Otherwise, select False.
| Branch | Study rooms | Public computers | Makerspace | Café | Parking | Average weekly visitors |
|---|---|---|---|---|---|---|
| Aster | 6 | 24 | yes | no | yes | 1,850 |
| Birch | 4 | 18 | no | yes | yes | 1,420 |
| Cedar | 8 | 30 | yes | yes | no | 2,380 |
| Delta | 2 | 12 | no | no | yes | 980 |
| Elm | 10 | 28 | yes | yes | yes | 2,650 |
| Frost | 6 | 16 | no | yes | no | 1,560 |
| Grove | 4 | 20 | yes | no | yes | 1,710 |
| Harbor | 12 | 32 | yes | yes | yes | 3,020 |
| Ivory | 2 | 14 | no | no | no | 1,100 |
| Juniper | 6 | 26 | yes | no | yes | 2,140 |
| Keystone | 8 | 22 | no | yes | yes | 1,990 |
| System-wide average | 6.18 | 22 | — | — | — | 1,890.91 |
For each of the following statements, select True if the statement can be verified to be true based on the information provided. Otherwise, select False.
| True | False | |
| Every branch with average weekly visitors between 1,500 and 2,000 has fewer study rooms than the system-wide average. | ||
| There is a positive correlation between the number of public computers and the average number of weekly visitors. | ||
| Branches with fewer study rooms than the system-wide average are less likely to have a makerspace than branches with more study rooms than the system-wide average. |
ShowHide Answer
Official Answer
Every branch with average weekly visitors between 1,500 and 2,000 has fewer study rooms than the system-wide average.: False
There is a positive correlation between the number of public computers and the average number of weekly visitors.: True
Branches with fewer study rooms than the system-wide average are less likely to have a makerspace than branches with more study rooms than the system-wide average.: True
17 Sep 2026, 06:15
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Official Solution:
• Every branch with average weekly visitors between 1,500 and 2,000 has fewer study rooms than the system-wide average.
Sort by Average weekly visitors and consider only the branches with values between 1,500 and 2,000.
Then check their Study rooms values against the system-wide average of 6.18.
Keystone has 1,990 average weekly visitors but 8 study rooms, which is more than the system-wide average.
Since one counterexample is enough to disprove an “every” statement, the statement is false.
Answer: False.
• There is a positive correlation between the number of public computers and the average number of weekly visitors.
A positive correlation means that as one variable increases, the other generally tends to increase as well.
Sort by Public computers from lowest to highest and compare the corresponding Average weekly visitors values.
The branches with relatively few public computers generally have lower visitor counts, while branches with relatively many public computers generally have higher visitor counts. Although the relationship is not perfectly exact for every pair of branches, the overall pattern clearly increases.
Therefore, the two variables are positively correlated.
Answer: True.
• Branches with fewer study rooms than the system-wide average are less likely to have a makerspace than branches with more study rooms than the system-wide average.
Sort by Study rooms and separate the branches into those below and those above the system-wide average of 6.18.
Among the 7 branches below the average, 3 have a makerspace.
Thus, the proportion is:
3/7 ≈ 0.43
Among the 4 branches above the average, 3 have a makerspace.
Thus, the proportion is:
3/4 = 0.75
Since 0.43 is less than 0.75, branches with fewer than the average number of study rooms are less likely to have a makerspace.
Answer: True.
Correct answer:
Statement 1: "False"
Statement 2: "True"
Statement 3: "True"
General Discussion
10 Sep 2026, 00:37
Kudos
Bookmarks
One branch with average weekly visitors between 1,500 and 2,000 doesnt have fewer study rooms than the system-wide average. So, False
yes, There is a positive correlation between the number of public computers and the average number of weekly visitors. 8 out of 11 data points are increasingly in a pattern. So, True.
yes, Branches with fewer study rooms than the system-wide average (3/7 probability) are less likely to have a makerspace than branches with more study rooms than the system-wide average (3/4 probability). So, True.
yes, There is a positive correlation between the number of public computers and the average number of weekly visitors. 8 out of 11 data points are increasingly in a pattern. So, True.
yes, Branches with fewer study rooms than the system-wide average (3/7 probability) are less likely to have a makerspace than branches with more study rooms than the system-wide average (3/4 probability). So, True.
