If the mean of 20 observations, namely is , then what is the value of the expression: यदि 20 प्रेक्षणों , अर्थात is , का माध्य 1.414 है , तो का मान क्या है ?

13656 Explanation: 1. Determine the sum of observations: Given the mean of 20 observations is , we can find the sum of these observations ( ) using the formula for the arithmetic mean: 2. Simplify the given expression: We need to calculate the value of . We can factor out the constants and use the linearity property of summation: 3. Substitute the values and calculate: Now, substitute into the equation: Correct Option: (d) 13656

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NDA 2026 — Mathematics PYQ

NDA | Mathematics | 2026

If the mean of 20 observations, namely $x_{1}, x_{2}, x_{3}, \dots, x_{20}$ is $1.414$ , then what is the value of the expression:

$\sum_{i = 1}^{20} 100 (2 x_{i} + 4)$

यदि 20 प्रेक्षणों, अर्थात $x_{1}, x_{2}, x_{3}, \dots, x_{20}$ is $1.414$ , का माध्य 1.414 है, तो $\sum_{i = 1}^{20} 100 (2 x_{i} + 4)$ का मान क्या है ?

Choose the correct answer: