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Median for Ungrouped Data

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Question

The following observations are arranged in ascending order. The median of the data is $25.$ Find the value of $x .$

$17, x, 24, x + 7, 35, 36, 46$

A

25

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B

18

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C

17

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D

35

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Solution

The correct option is B 18
The median value is given as $25.$

The median of the data: $17, x, 24, x + 7, 35, 36, 46$ is $x + 7.$
We know that then median is the middle most value of the given data.

$\Rightarrow x + 7 = 25$

$\Rightarrow x = 18$

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