JEE Main & Advanced JEE Main Paper Phase-I (Held on 08-1-2020 Evening)

  • question_answer
    The mean and variance of 20 observations are found to be 10 and 4, respectively. On rechecking, it was found that an observation 9 was incorrect and the correct observation was 11. Then the correct variance is [JEE MAIN Held on 08-01-2020 Evening]

    A) 3.98                 

    B) 4.02

    C) 3.99     

    D) 4.01

    Correct Answer: C

    Solution :

    \[\sum{{{x}_{i}}=200}\] and \[\sum{x_{_{i}}^{2}=2080}\] Now Actual Mean \[=\frac{200+11-9}{20}=\frac{202}{20}\] \[\therefore \] Actual variance \[=\frac{2080-81+121}{20}={{\left( \frac{202}{20} \right)}^{2}}\] \[106-{{\left( 10.1 \right)}^{2}}=106-102.01=3.99\]


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