Practice Test Discussion

Q)

The average age of 24 females decreases by 2 months when 3 femlaes of 12 yr, 13 yr and 14 yr are replaced by 3 males. Find out the average age of 3 males?


  • Explanation

    According to the question

    We use the formula,

    Value of new observations= a - nb

    [here, Average decreases, hence '-' sign (a-nb) has been taken.]

    Here, n=24, a= 12+13+14=39 yr, b= 2 months= 212 yr

    Total age of 3 males = a-nb

    = 39-24×212 

    = 39-4= 35 yr

    Average age of 3 males= 353= 1123 yr

    Hence, Option D is correct.

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