9th Class Mathematics Statistics Question Bank Statistics

  • question_answer
    The mean of 20 items of a data is 5; and if each item is multiplied by 3, then the mean will be

    A) 5                                 

    B) 10

    C) 15                  

    D) 20

    Correct Answer: C

    Solution :

    Let the 20 items be\[{{x}_{1}},{{x}_{2}},........{{x}_{20}},\]then sum of these \[={{x}_{1}}+{{x}_{2}}+..........{{x}_{20}}=20\times 5=100\] Multiplying each item by 3 and adding the result, we get \[3{{x}_{1}}+3{{x}_{2}}+..........3{{x}_{20}}=3\times 20\times 5=300\] Hence, the new mean \[=\frac{300}{20}=15.\]       


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