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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 x. He found the mean to be 12. The value of x will be -


1. 3
2. 7
3. 17
4. 31

1 Answer

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Best answer
Correct Answer - Option 2 : 7

Given

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 x. He found the mean to be 12. 

Concept used

Average

Calculation

Mean means average 

Mean = 12 (Given)

⇒ \(\frac{{3 + 11 + 7 + 9 + 15 + 13 + 8 + 19 + 17 + 21 + 14 + x}}{{12}} = 12\)

⇒ 137 + x = 144

⇒ x = 7

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