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Mathematics

Median of the numbers 4, 4, 5, 7, 6, 7, 7, 3, 12 is

  1. 4

  2. 5

  3. 6

  4. 7

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Answer

Arranging given data in ascending order :

3, 4, 4, 5, 6, 7, 7, 7, 12.

No. of observation (n) = 9.

Here, n is odd.

By formula,

Median=(n+1)2th observation=9+12th observation=102th observation=5th observation=6.\text{Median} = \dfrac{(n + 1)}{2} \text{th observation} \\[1em] = \dfrac{9 + 1}{2} \text{th observation} \\[1em] = \dfrac{10}{2} \text{th observation} \\[1em] = 5 \text{th observation} \\[1em] = 6.

Hence, Option 3 is the correct option.

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