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Question
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chloe has the following data: v, 2, 6, 5, 1
if the median is 5, which number should v be?
Step1: Arrange data in ascending - order possibilities
The data set has 5 values. For a set of 5 values, the median is the 3rd value when the data is arranged in ascending order. Given values are 1, 2, 5, 6. If the median is 5, then v must be greater than or equal to 5 so that 5 remains the middle value.
Step2: Determine v value
Since v should not change the position of 5 as the middle - value, v can be any number such that when the data set is ordered, 5 is the 3rd value. Among the given options, if v = 10, when we order the data set as 1, 2, 5, 6, 10, the median is 5.
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