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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.

BranchMembership growth rate (%) per yearRegistered membersFloor area (sq m)
Harbor1.8185004200
Maple0.992002500
Orchard1.2134003100
Riverside2.3223006000
Summit-0.478001800
Cedar1.5158003500
Beacon0.3111002700
Parkview2.0172003300
Grand0.7205005200

For each of the following statements, select Yes if the statement is true based on the information presented in the table. Otherwise, select No.
Question 1: No branch has both above-median registered members and below-median floor area.

The median for the registered numbers is 15800 ( Cedar ).

The Branch above the median registered number (15800) are :

Parkview (17200), Harbor (18500), Grand (20500), and Riverside (22300).

The median Floor area is 3300.

The branches below Median Floor area = Summit, Maple, Beacon and Orchard.

There is NO match between these two categories. Hence, YES.

Question 2: 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.

Median Growth rate = 1.2 ( Orchard ). The branches below the citywide median growth rate and their membership value:


Summit (7800), Beacon (11100), Grand (20500), and Maple (9200).

The Highest value is 20500 belongs to Grand. And, Grand floor Area value ( 5200) is NOT BELOW the median floor area (3300).

Hence, NO.

Question 3: Among branches with at least 17200 members, the range of growth rates exceeds the range among branches with at most 13400 members.

The branches with at least 17200 members and their respective growth rates are as follows:

Parkview (2.0%), Harbor (1.8%), Grand (0.7%), and Riverside (2.3%).

The Range is (2.3 - 0.7) = 1.6

The branches with ATMOST 13400 members and their respective growth rates are as follows:

Summit (-0.4%), Maple (0.9%), Beacon (0.3%), and Orchard (1.2%).

The range is 1.2−(−0.4)=1.6.

Both these values are equal. Hence, NO.
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