Home
PYQ PracticeFree
JEE Rank Predictor
Answer Key

Mathematics - Statistics Question with Solution | TestHub

MathematicsStatisticsMeasures of DispersionMedium2 minPYQ_2020

MathematicsMediumsingle choice

Let $x_{i} (1 \leq i \leq 10)$ be ten observation of a random variable $X$ . If $\sum_{i = 1}^{10} (x_{i} - p) = 3$ and $\sum_{i = 1}^{10} {(x_{i} - p)}^{2} = 9$ where $0 \neq p \in R$ , then the standard deviation of these observations is:

Options:

Answer:

C

Solution:

Standard Deviation $(S . D .) = \sqrt{\frac{\sum_{i = 1}^{10} {(x_{i} - p)}^{2}}{10} - {(\frac{\sum_{i = 1}^{10} (x_{i} - p)}{10})}^{2}}$
$= \sqrt{\frac{9}{10} - {(\frac{3}{10})}^{2}} = \frac{9}{10}$

Stream:JEESubject:MathematicsTopic:StatisticsSubtopic:Measures of Dispersion

⏱ 2mℹ️ Source: PYQ_2020

Doubts & Discussion

Loading discussions...