If the median of observations 12 1 8 54 61 28 45 35 21 17 is M then what is the value of 2M 5 ........

Quantitative Aptitude (CDS) Statistics

If the median of observations

12, 1, 8, 54, 61, 28, 45, 35, 21, 17

is M, then what is the value of 2M + 5 ?

This questions was previously asked in

2023 CDS -2 MATH

- First, to find the median, arrange the numbers in increasing order: 1, 8, 12, 17, 21, 28, 35, 45, 54, 61.

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

- The 5th and 6th numbers are 21 and 28. The average of 21 and 28 is (21 + 28)/2 = 24.5.

- Therefore, the median \( M \) is 24.5.

- Calculate 2M + 5: \( 2 \times 24.5 + 5 = 49 + 5 = 54 \).

- Correct Answer: Option 4: 54

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