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  1. A student was asked to find the arithmetic mean of the following 12 numbers :
    3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and y
    He found the mean to be 12. The value of y will be :
    1. 3
    2. 7
    3. 17
    4. 31
Correct Option: B

As we know that ,

Average or Mean =
Sum of quantities
Total number of quantities

Mean =
3 + 11 + 9 + 7 + 15 + 13 + 8 + 19 + 17 + 21 + 14 + y
12

According to question,
12 =
137 + y
12

∴ 137 + y = 144
∴ y = 144 - 137 = 7



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