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The data 3, 4, 5, $x$ , 9, 11 is written in ascending order and its median is 6.5. Find the value of $x$ .

Competition practiceData & Probability

A8
B7
C6
D9

Step-by-Step Solution

With 6 observations the median is the mean of the 3rd and 4th values:

(5 + x) /2 = 6.5

, so

5 + x = 13

and

x = 8

.

Answer: A) 8

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