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28 July, 05:29

The average (arithmetic mean) of 6 numbers is q. When one number is discarded, the average becomes q-2. In terms of q, what is the discarded number?

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  1. 28 July, 09:13
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    Answer: q + 10

    Step-by-step explanation: considering the numbers a, b, c, d, e and f

    Mean would be

    a+b+c+d+e+f/6 = q (1)

    Considering we remove f, the new mean would be

    a+b+c+d+e/5 = q-2 (2)

    From (1):

    a+b+c+d+e+f = 6q

    from (2)

    a+b+c+d+e = 5 (q-2)

    a+b+c+d+e = 5q - 10

    Substituting (2) in (1)

    a+b+c+d+e+f = 6q

    5q - 10 + f = 6q

    f = 6q - 5q + 10

    f = q + 10
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