10th Class Mathematics Statistics Question Bank Statistics

  • question_answer
    If 7, 2, 9 and 5 occur with frequencies 2, 3, 6 and 4 respectively, then the arithmetic mean is ___.

    A)  \[6.25\]                       

    B)  \[6.75\]                       

    C)  \[6.27\]                       

    D)  \[6.42\]                       

    Correct Answer: C

    Solution :

    Arithmetic mean \[=\frac{{{x}_{1}}{{f}_{1}}+{{x}_{2}}{{f}_{2}}+.....+{{x}_{n}}{{f}_{n}}}{{{f}_{1}}+{{f}_{2}}+.....+{{f}_{n}}}\] \[=\frac{(7\times 2)+(2\times 3)+(9\times 6)+(5\times 4)}{2+3+6+4}\] \[=\frac{14+6+54+20}{15}=\frac{94}{15}=6.27\]


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