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Mathematics

If the median of 5, 9, 11, 3, 4, x, 8 is 6, find the value of x.

Measures of Central Tendency

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Answer

Arranging the numbers in ascending order we get,

3, 4, 5, x, 8, 9, 11.

Here n (no. of observations) = 7

Median=n+12th observation=7+12=82=4th observation.\therefore \text{Median} = \dfrac{n + 1}{2} \text{th observation} \\[1em] = \dfrac{7 + 1}{2} \\[1em] = \dfrac{8}{2} \\[1em] = 4 \text{th observation}.

Given, median = 6.

∴ 6 = 4th observation = x.

Hence, the value of x = 6.

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