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Question
consider the data set 11, 3, 8, 2, 9, 1, 4. jennifer said the median of the set is 2, because it is the middle value in the data set. explain why you do or do not agree with her.
Step1: Arrange data in ascending order
$1,2,3,4,8,9,11$
Step2: Determine the middle - value
There are 7 values. The middle value is the 4th one when arranged in order. So the median is 4.
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I do not agree with her. The median of the data - set is 4, not 2. The median is the middle value when the data is arranged in ascending order. Since there are 7 values, the middle value is the 4th one after arranging the data as 1, 2, 3, 4, 8, 9, 11.