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

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

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