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A student needed to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What is the value of x?
  • a)
    12
  • b)
    5
  • c)
    7
  • d)
    9
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A student needed to find the arithmetic mean of the numbers 3, 11, 7, ...
Mean = Sum  / Total count  
12 = (3+11+7+9+15+13+8+19+17+21+14+x) / 12
12*12 = 137 + x
144 = 137 + x
x = 144 - 137
x = 7
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Most Upvoted Answer
A student needed to find the arithmetic mean of the numbers 3, 11, 7, ...
To find the value of x, we need to calculate the sum of all the given numbers and then subtract the sum of the other numbers from the sum of all the numbers to find the value of x.

Let's calculate the sum of the given numbers first:
3 + 11 + 7 + 9 + 15 + 13 + 8 + 19 + 17 + 21 + 14 = 137

Now, let's calculate the sum of the other numbers (excluding x):
137 - 12 = 125

To find the value of x, we need to subtract the sum of the other numbers from the sum of all the numbers:
137 - 125 = 12

So, the value of x is 12.

Therefore, the correct answer is option C) 12.
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Community Answer
A student needed to find the arithmetic mean of the numbers 3, 11, 7, ...
7
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A student needed to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What is the value of x?a)12b)5c)7d)9Correct answer is option 'C'. Can you explain this answer?
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