Question on: JAMB Mathematics - 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 Option: B
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
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