The data set 14, 21, 9, x, 17 has a range of 20. If x is... | SAT One-variable data: distributions and measures of center and spread Question, Answer Explained

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Math · Problem-Solving and Data AnalysisEasy

The data set $14, 21, 9, x, 17$ has a range of $20$ . If $x$ is greater than $21$ , what is the value of $x$ ?

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Answer: 29

Because $x > 21$ , $x$ is the greatest value, and the least value is $9$ . The range is the greatest value minus the least value, so $x - 9 = 20$ and $x = 29$ .

Adding $20$ to $21$ gives $41$ , but the range is measured from the least value, $9$ , not from $21$ .

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