Subject

    গণিত

    Topic

    Algebra

    Define the arithmetic mean (AM) of positive numbers x1, …, xn.

    ক)
    AM = (x1 + … + xn)/(n − 1)
    খ)
    AM = (x1 + … + xn)/n
    গ)
    AM = n/(x1 + … + xn)
    ঘ)
    AM = sqrt((x1^2 + … + xn^2)/n)

    Explanation

    The Arithmetic Mean (AM) is fundamentally defined as the sum of all values divided by the count of those values. Therefore, for nn positive numbers (x1,…,xnx_1, \ldots, x_n), the formula is simply the total sum divided by nn. Option A incorrectly uses n−1n-1 in the denominator, which is related to the sample standard deviation's calculation, not the mean. Option C is the reciprocal of the AM. Option D represents the Root Mean Square (RMS), not the Arithmetic Mean.

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