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Question

The lower quartile is the value of the middle of the first set, where 25% of the values are _____ than Q1 and 75% are larger.

A
longer
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B
larger
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C
smaller
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D
higher
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Solution

The correct option is C smaller
The lower quartile is the value of the middle of the first set, where 25% of the values are smaller than Q1 and 75% are larger.
Example: 2,5,5,6,8,10,11
Here the median is the middle number =6
So, the first quartile is the median of the lower half of the data.
Then, the lower quartile of the first half will be 2,5,5 which is 25% of the given data
So, the remaining 75% numbers can be considered as larger.

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