Question

Math

Posted 2 months ago

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The median number of magazine appearances made by 7 models is 5 . The range of number of magazine appearances by those models is 5 .
Determine if the following statement is true, is false, or does not contain enough information.
The fewest magazine appearances could be 1.
Choose 1 answer:
(A) True
(B) False
(c) Not enough information
```

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Answer from Sia

Posted 2 months ago

Solution by Steps

step 2

The median is the middle number in a sorted list of numbers. With 7 models, the 4th appearance number is the median, which is 5

step 3

The range is the difference between the highest and lowest values. A range of 5 means that the difference between the most and least number of appearances is 5

step 4

If the fewest appearances were 1, then the highest number of appearances could be 1 + 5 = 6 to maintain the range of 5

step 5

Since the median is 5, there must be three values less than or equal to 5 and three values greater than or equal to 5. Having 1 as the fewest number does not contradict this requirement

A

Key Concept

Median and Range

Explanation

The median is the middle value in a sorted list, and the range is the difference between the highest and lowest values. The statement "The fewest magazine appearances could be 1" is consistent with the given median and range.

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