jee-main 2024 Q70

jee-main · India · session1_27jan_shift1 Measures of Location and Spread

Let $\mathrm { a } _ { 1 } , \mathrm { a } _ { 2 } , \ldots , \mathrm { a } _ { 10 }$ be 10 observations such that $\sum _ { \mathrm { k } = 1 } ^ { 10 } \mathrm { a } _ { \mathrm { k } } = 50$ and $\sum _ { \forall \mathrm { k } < \mathrm { j } } \mathrm { a } _ { \mathrm { k } } \cdot \mathrm { a } _ { \mathrm { j } } = 1100$. Then the standard deviation of $a _ { 1 } , a _ { 2 } , \ldots , a _ { 10 }$ is equal to:
(1) 5
(2) $\sqrt { 5 }$
(3) 10
(4) $\sqrt { 115 }$

Let $\mathrm { a } _ { 1 } , \mathrm { a } _ { 2 } , \ldots , \mathrm { a } _ { 10 }$ be 10 observations such that $\sum _ { \mathrm { k } = 1 } ^ { 10 } \mathrm { a } _ { \mathrm { k } } = 50$ and $\sum _ { \forall \mathrm { k } < \mathrm { j } } \mathrm { a } _ { \mathrm { k } } \cdot \mathrm { a } _ { \mathrm { j } } = 1100$. Then the standard deviation of $a _ { 1 } , a _ { 2 } , \ldots , a _ { 10 }$ is equal to:\\
(1) 5\\
(2) $\sqrt { 5 }$\\
(3) 10\\
(4) $\sqrt { 115 }$

Paper Questions

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