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15 Apr 2019, 07:00
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E
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Difficulty:
5%
(low)
Question Stats:
89% (00:49) correct
11%
(01:11)
wrong
based on 120
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If two ballet classes have 15 children each, is the range of the heights of the children in one of the classes equal to the range of the heights of the children in the other class?
(1) In each class, the average (arithmetic mean) height of the children is 130 centimeters.
(2) In each class, the height of the tallest child is 140 centimeters.
(1) In each class, the average (arithmetic mean) height of the children is 130 centimeters.
(2) In each class, the height of the tallest child is 140 centimeters.
Chethan92
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15 Apr 2019, 10:16
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Range = Max - Min
From S1:
Average is 130cms.
Clearly Insufficient.
From S2:
Height of the tallest child is 140cms.
Still Insufficient as the height of the shortest is unknown.
Combining both:
Still Insufficient.
E is the answer.
From S1:
Average is 130cms.
Clearly Insufficient.
From S2:
Height of the tallest child is 140cms.
Still Insufficient as the height of the shortest is unknown.
Combining both:
Still Insufficient.
E is the answer.
20 Apr 2020, 09:44
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Caroline1606
If two ballet classes have 15 children each, is the range of the heights of the children in one of the classes equal to the range of the heights of the children in the other class?
(1) In each class, the average (arithmetic mean) height of the children is 130 centimeters.
(2) In each class, the height of the tallest child is 140 centimeters.
(1) In each class, the average (arithmetic mean) height of the children is 130 centimeters.
(2) In each class, the height of the tallest child is 140 centimeters.
Given: Two ballet classes have 15 children each
Target question: Is the range of the heights of the children in one of the classes equal to the range of the heights of the children in the other class?
When I SCAN the two statements, they both feel insufficient, AND I’m pretty sure I can identify some cases with conflicting answers to the target question. So, I’m going to head straight to……
Statements 1 and 2 combined
There are several possible scenarios that satisfy BOTH statements. Here are two:
Case a:
Heights in class X: 120, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 140 (range = 140 - 120 = 20)
Heights in class Y: 120, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 140 (range = 140 - 120 = 20)
In this case, the answer to the target question is YES, the two ranges are equal
Case b:
Heights in class X: 120, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 140 (range = 140 - 120 = 20)
Heights in class Y: 110, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 140, 140 (range = 140 - 110 = 30)
In this case, the answer to the target question is NO, the two ranges are not equal
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
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