Statistics: Median
If the median of 127 numbers is 35, which of the following must be true?
>I. At least 64 of the numbers are greater than or equal to 35.
>II. At least 64 of the numbers are smaller than 35.
>III. At most 64 numbers are greater than or equal to 35.
Incorrect.
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Check statement III again.
Correct.
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I. There are 64 numbers that are smaller than or equal to the median, and __64 numbers that are larger than or equal to the median__. Thus, it can be that exactly 64 numbers are greater than or equal to the median or that more than 64 numbers are equal to the median—for example, if all numbers in the set are equal to 35.
II. If all numbers in the set are equal to 35, then statement II is not true.
III. If all numbers in the set are equal to 35, then statement III is not true.
Incorrect.
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Incorrect.
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Incorrect.
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Check statement II again.
I only
II only
III only
I and II only
I and III only