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    ​Correct relation for the numbers 10, 7, 8, 5, 6, 8, 5, 8, 6 is:​
    Question

    Correct relation for the numbers 10, 7, 8, 5, 6, 8, 5, 8, 6 is:

    A.

    mean = median

    B.

    mean > median

    C.

    mean < median

    D.

    mean > mode

    Correct option is A

    Given:
    Numbers: 10, 7, 8, 5, 6, 8, 5, 8, 6
    Median:
    Arrange in ascending order: 5, 5, 6, 6, 7, 8, 8, 8, 10
    Since there are 9 numbers (odd),
    Median = middle value = 5th term = 7
    Mode:
    Most frequent number = 8 (appears 3 times)
    Mean
    Mean = Sum of all observationsNumber of observationsSum = 10+7+8+5+6+8+5+8+6 = 63Number of observations = 9Mean = 639 = 7\text{Mean} \;=\; \frac{\text{Sum of all observations}}{\text{Number of observations}} \\[6pt]\text{Sum} \;=\; 10 + 7 + 8 + 5 + 6 + 8 + 5 + 8 + 6 \;=\; 63 \\[6pt]\text{Number of observations} \;=\; 9 \\[6pt]\text{Mean} \;=\; \frac{63}{9} \;=\; 7​​
    From the above 
    Mean = 7
    Median = 7
    Mode = 8
    Thus: mean = median 
    Correct answer is (A)

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