JEE Main & Advanced Mathematics Statistics Question Bank Self Evaluation Test - Statistics

  • question_answer
    If the combined mean of two groups is \[\frac{40}{3}\] and if the mean of one group with 10 observations is 15, then the mean of the other group with 8 observation is equal to

    A) \[\frac{46}{3}\]

    B) \[\frac{35}{4}\]

    C) \[\frac{45}{4}\]

    D) \[\frac{41}{4}\]

    Correct Answer: C

    Solution :

    [c] Let total no. of obs \[=18\] Let mean of one group \[={{a}_{1}}=15\] And mean of other group \[={{a}_{2}}\] Given: Combined mean \[=\frac{40}{3}\] Now, combined mean \[=\frac{({{a}_{1}}\times 10)+({{a}_{2}}\times 5)}{18}\] \[\Rightarrow \frac{40}{3}=\frac{150+8{{a}_{2}}}{18}\Rightarrow {{a}_{2}}=\frac{45}{4}\]


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