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The mean of seven numbers is 10. If six of the numbers are 2, 4,...

Mathematics
JAMB 2013

The mean of seven numbers is 10. If six of the numbers are 2, 4, 8, 14, 16 and 18, find the mode.
  • A. 6
  • B. 8
  • C. 14
  • D. 2
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Correct Answer: Option B
Explanation
Using x = \(\frac{\sum x}{N}\) in each case, we get;

\(\sum_{6}^{i=1} x_i\) = 10 x 7 = 70

\(\sum_{7}^{i=1} x_i\) = 2 + 4 + 8 + 14 + 16 + 18 = 62

Hence the missing number can be obtained from

\(\sum_{6}^{i=1} x_i - \sum_{7}^{i=1} x_i\) = 70 - 62 = 8

So, all the seven numbers are 2, 4, 8, 8, 14, 16, 18

Mode = 8

There is an explanation video available below.


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Explanation Video

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