If the median of the following data is 11 then find the value of k 3 21 10 7 6 9 k 6 15 20 16 ........

Quantitative Aptitude (MTS) Average

If the median of the following data is 11, then find the value of k.

3, 21 , 10, 7, 6, 9, (k+6 ), 15, 20, 16

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SSC MTS 27th October 2021 Shift-1

- We are given a list and told the median is 11. The list is: 3, 21, 10, 7, 6, 9, (k+6), 15, 20, 16.

- First, sort the data: 3, 6, 7, 9, 10, (k+6), 15, 16, 20, 21.

- Since there are 10 numbers, the median is the average of the 5th and 6th numbers.

- The 5th number is 10, and the 6th is (k+6).

- To find the median: (10 + (k+6))/2 = 11.

- Solve for k: 10 + k + 6 = 22.

- Simplify: k + 16 = 22, so k = 6.

- The correct option for k is 6.

Correct Answer: Option 3 - 6

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