Let x 1 , x 2 , … , x n be n observations such that ∑ x i 2 = 400 and ∑ x i = 80 . Then a possible value of n among the following is

n ∑ x i 2 ≥ ( n ∑ x i ) 2 ⇒ n ≥ 16

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Mathematics - Statistics Question with Solution | TestHub

MathematicsStatisticsMeanEasy2 minPYQ_2005

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Let $x_{1}, x_{2}, \dots, x_{n}$ be $n$ observations such that $\sum x_{i}^{2} = 400$ and $\sum x_{i} = 80$ . Then a possible value of $n$ among the following is

Options:

Answer:

Solution:

$\frac{\sum x _{i}^{2}}{n} \geq (\frac{\sum x _{i}}{n})^{2} \Rightarrow n \geq 16$

Stream:JEESubject:MathematicsTopic:StatisticsSubtopic:Mean

⏱ 2mℹ️ Source: PYQ_2005

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