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25 Sep 2025, 03:46
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No branch has both above-median registered members and below-median floor area.: Yes
Among branches with growth below the citywide median growth rate, the branch with the highest membership has a floor area below the citywide median floor area.: No
Among branches with at least 17200 members, the range of growth rates exceeds the range among branches with at most 13400 members.: No
The table shows the annual membership growth rate (in percent), the number of registered members, and the total floor area of nine branches of a national fitness association.
For each of the following statements, select Yes if the statement is true based on the information presented in the table. Otherwise, select No.
| Branch | Membership growth rate (%) per year | Registered members | Floor area (sq m) |
|---|---|---|---|
| Harbor | 1.8 | 18500 | 4200 |
| Maple | 0.9 | 9200 | 2500 |
| Orchard | 1.2 | 13400 | 3100 |
| Riverside | 2.3 | 22300 | 6000 |
| Summit | -0.4 | 7800 | 1800 |
| Cedar | 1.5 | 15800 | 3500 |
| Beacon | 0.3 | 11100 | 2700 |
| Parkview | 2.0 | 17200 | 3300 |
| Grand | 0.7 | 20500 | 5200 |
For each of the following statements, select Yes if the statement is true based on the information presented in the table. Otherwise, select No.
| Yes | No | |
| No branch has both above-median registered members and below-median floor area. | ||
| Among branches with growth below the citywide median growth rate, the branch with the highest membership has a floor area below the citywide median floor area. | ||
| Among branches with at least 17200 members, the range of growth rates exceeds the range among branches with at most 13400 members. |
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Official Answer
No branch has both above-median registered members and below-median floor area.: Yes
Among branches with growth below the citywide median growth rate, the branch with the highest membership has a floor area below the citywide median floor area.: No
Among branches with at least 17200 members, the range of growth rates exceeds the range among branches with at most 13400 members.: No
25 Sep 2025, 03:46
Kudos
Bookmarks
Official Solution:
• No branch has both above-median registered members and below-median floor area.
The median membership count is 15800 (Cedar) and the median area is 3300 sq m (Parkview). The branches above the median in members are Parkview, Harbor, Grand, and Riverside; all have areas of at least 3300 sq m, so none is below-median in area.
Answer: Yes
• Among branches with growth below the citywide median growth rate, the branch with the highest membership has a floor area below the citywide median floor area.
Citywide median growth rate is 1.2. The below-median group is Summit, Beacon, Grand, Maple; the highest membership among them is Grand at 20500. Citywide median floor area is 3300; Grand’s area is 5200, which is not below the median.
Answer: No
• Among branches with at least 17200 members, the range of growth rates exceeds the range among branches with at most 13400 members.
Among ≥17200 members: growth rates 2.3, 0.7, 1.8, 2.0; range = 1.6. Among ≤13400 members: growth rates -0.4, 0.9, 0.3, 1.2; range = 1.6. The ranges are equal, so the claim is false.
Answer: No
Correct answer:
No branch has both above-median registered members and below-median floor area. "Yes"
Among branches with growth below the citywide median growth rate, the branch with the highest membership has a floor area below the citywide median floor area. "No"
Among branches with at least 17200 members, the range of growth rates exceeds the range among branches with at most 13400 members. "No"
bb
• No branch has both above-median registered members and below-median floor area.
The median membership count is 15800 (Cedar) and the median area is 3300 sq m (Parkview). The branches above the median in members are Parkview, Harbor, Grand, and Riverside; all have areas of at least 3300 sq m, so none is below-median in area.
Answer: Yes
• Among branches with growth below the citywide median growth rate, the branch with the highest membership has a floor area below the citywide median floor area.
Citywide median growth rate is 1.2. The below-median group is Summit, Beacon, Grand, Maple; the highest membership among them is Grand at 20500. Citywide median floor area is 3300; Grand’s area is 5200, which is not below the median.
Answer: No
• Among branches with at least 17200 members, the range of growth rates exceeds the range among branches with at most 13400 members.
Among ≥17200 members: growth rates 2.3, 0.7, 1.8, 2.0; range = 1.6. Among ≤13400 members: growth rates -0.4, 0.9, 0.3, 1.2; range = 1.6. The ranges are equal, so the claim is false.
Answer: No
Correct answer:
No branch has both above-median registered members and below-median floor area. "Yes"
Among branches with growth below the citywide median growth rate, the branch with the highest membership has a floor area below the citywide median floor area. "No"
Among branches with at least 17200 members, the range of growth rates exceeds the range among branches with at most 13400 members. "No"
