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Q. The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.
Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?
Indicate all such statements.
- a)The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.
- b)The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.
- c)The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Directions: Select all the answer choices that apply.Q. The penguins ...
Choice A tells you that the tallest Gentoo penguin is 5.8 centimeters taller than the tallest Chinstrap penguin. You can combine this information with the given information about the Gentoo and Chinstrap height ranges to place four penguins—the shortest Gentoo, the shortest Chinstrap, the tallest Gentoo, and the tallest Chinstrap— in relative order according to height, as shown in the figure below.
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You can see from the figure that the tallest penguin must be a Gentoo and the shortest penguin must be a Chinstrap. You can also see the difference in height between those two penguins, which is the range of the heights of the all the penguins. Therefore, Choice A provides sufficient additional information to determine the range.
Choice B provides information about one of the centers of the data—the median; it does not say anything about how spread out the data are around that center. You are given that the median height of the Gentoos is 1.1 centimeters greater than that of the Chinstraps. First note that it is possible for two different sets of data to have the same median but have very different ranges. Choice B gives the difference between the medians of the Gentoo heights and the Chinstrap heights, without giving the actual medians. However, even if you knew the medians, the fact that the ranges can vary widely indicates that the range of the heights of the all the penguins can also vary widely.
It is possible to construct examples of heights of penguins that satisfy all of the information in the question and in Choice B but have different ranges for the heights of the all the penguins. Here are two such examples, each of which has only three Chinstraps and three Gentoos. Although the examples are small, they illustrate the fact that the range of the heights of the all the penguins can vary. In both examples, the range of Chinstrap heights is 13.2 centimeters, the range of Gentoo heights is 15.4 centimeters, and the difference between the median heights is 1.1 centimeters.
Therefore, Choice B does not provide sufficient additional information to determine the range of the heights of the all the penguins.
Choice C provides information about another center of the data—the average. You are given that the average height of the Gentoos is 4.6 centimeters greater than that of the Chinstraps. However, like Choice B, the statement gives no information about how spread out the data are around that center. Again, it is possible for two different sets of data to have the same average but have very different ranges. Examples similar to the two examples above can be constructed that satisfy all of the information in the question and in Choice C but have different ranges for the heights of the all the penguins. Therefore, Choice C does not provide sufficient additional information to determine the range of the heights of the all the penguins.
The correct answer consists of Choice A.
Most Upvoted Answer
Directions: Select all the answer choices that apply.Q. The penguins ...
Choice A tells you that the tallest Gentoo penguin is 5.8 centimeters taller than the tallest Chinstrap penguin. You can combine this information with the given information about the Gentoo and Chinstrap height ranges to place four penguins—the shortest Gentoo, the shortest Chinstrap, the tallest Gentoo, and the tallest Chinstrap— in relative order according to height, as shown in the figure below.
You can see from the figure that the tallest penguin must be a Gentoo and the shortest penguin must be a Chinstrap. You can also see the difference in height between those two penguins, which is the range of the heights of the all the penguins. Therefore, Choice A provides sufficient additional information to determine the range.
Choice B provides information about one of the centers of the data—the median; it does not say anything about how spread out the data are around that center. You are given that the median height of the Gentoos is 1.1 centimeters greater than that of the Chinstraps. First note that it is possible for two different sets of data to have the same median but have very different ranges. Choice B gives the difference between the medians of the Gentoo heights and the Chinstrap heights, without giving the actual medians. However, even if you knew the medians, the fact that the ranges can vary widely indicates that the range of the heights of the all the penguins can also vary widely.
It is possible to construct examples of heights of penguins that satisfy all of the information in the question and in Choice B but have different ranges for the heights of the all the penguins. Here are two such examples, each of which has only three Chinstraps and three Gentoos. Although the examples are small, they illustrate the fact that the range of the heights of the all the penguins can vary. In both examples, the range of Chinstrap heights is 13.2 centimeters, the range of Gentoo heights is 15.4 centimeters, and the difference between the median heights is 1.1 centimeters.
Therefore, Choice B does not provide sufficient additional information to determine the range of the heights of the all the penguins.
Choice C provides information about another center of the data—the average. You are given that the average height of the Gentoos is 4.6 centimeters greater than that of the Chinstraps. However, like Choice B, the statement gives no information about how spread out the data are around that center. Again, it is possible for two different sets of data to have the same average but have very different ranges. Examples similar to the two examples above can be constructed that satisfy all of the information in the question and in Choice C but have different ranges for the heights of the all the penguins. Therefore, Choice C does not provide sufficient additional information to determine the range of the heights of the all the penguins.
The correct answer consists of Choice A.
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Community Answer
Directions: Select all the answer choices that apply.Q. The penguins ...
Analysis:
Statement A:
- This statement provides a direct comparison between the tallest Gentoo penguin and the tallest Chinstrap penguin.
- By knowing that the tallest Gentoo penguin is 5.8 centimeters taller than the tallest Chinstrap penguin, we can determine the range of heights for all penguins on the island.
- Since the range of heights for each type of penguin is given, this additional information allows us to find the overall range of heights for all the penguins.
Therefore, statement A individually provides sufficient information to determine the range of heights of all the penguins on the island.
Statement A:
- This statement provides a direct comparison between the tallest Gentoo penguin and the tallest Chinstrap penguin.
- By knowing that the tallest Gentoo penguin is 5.8 centimeters taller than the tallest Chinstrap penguin, we can determine the range of heights for all penguins on the island.
- Since the range of heights for each type of penguin is given, this additional information allows us to find the overall range of heights for all the penguins.
Therefore, statement A individually provides sufficient information to determine the range of heights of all the penguins on the island.
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Directions: Select all the answer choices that apply.Q. The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?Indicate all such statements.a)The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.b)The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.c)The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.Correct answer is option 'A'. Can you explain this answer? for GRE 2025 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Select all the answer choices that apply.Q. The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?Indicate all such statements.a)The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.b)The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.c)The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GRE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Select all the answer choices that apply.Q. The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?Indicate all such statements.a)The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.b)The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.c)The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.Correct answer is option 'A'. Can you explain this answer?.
Directions: Select all the answer choices that apply.Q. The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?Indicate all such statements.a)The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.b)The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.c)The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.Correct answer is option 'A'. Can you explain this answer? for GRE 2025 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Select all the answer choices that apply.Q. The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?Indicate all such statements.a)The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.b)The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.c)The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GRE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Select all the answer choices that apply.Q. The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?Indicate all such statements.a)The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.b)The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.c)The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Directions: Select all the answer choices that apply.Q. The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?Indicate all such statements.a)The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.b)The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.c)The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
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Here you can find the meaning of Directions: Select all the answer choices that apply.Q. The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?Indicate all such statements.a)The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.b)The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.c)The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: Select all the answer choices that apply.Q. The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?Indicate all such statements.a)The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.b)The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.c)The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Directions: Select all the answer choices that apply.Q. The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?Indicate all such statements.a)The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.b)The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.c)The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Directions: Select all the answer choices that apply.Q. The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?Indicate all such statements.a)The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.b)The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.c)The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: Select all the answer choices that apply.Q. The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?Indicate all such statements.a)The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.b)The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.c)The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice GRE tests.
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