Question:
The following observations have been arranged in the ascending order. If the median of the data 2, 3, x, x + 2, 11, 17 is 9, then the value of 3x + 1 is ________.
निम्नलिखित प्रेक्षणों को आरोही क्रम में व्यवस्थित किया गया है। यदि आंकड़ों 2, 3, x, x + 2, 11, 17 की माध्यिका 9 है, तो 3x + 1 का मान ________ है।
Options:
- 12
- 25
- 20
- 8
- 12
- 25
- 20
- 8
Correct Answer: c)
Explanation:
Median of 6 ordered observations is \(\dfrac{x + (x+2)}{2} = x + 1 = 9 \implies x = 8\).
Value of \(3x + 1 = 3(8) + 1 = 25\) (option c).
माध्यिका \(= \dfrac{x + (x+2)}{2} = x + 1 = 9 \implies x = 8\)।
\(3x + 1 = 3(8) + 1 = 25\)।