Question

The mean of seven numbers is 10. If six of the numbers are 2, 4, 8, 14, 16, & 18, find the mode
14
5
9
8

Answer 1

Answer on Question #58333 – Math – Statistics and Probability

Question

The mean of seven numbers is 10. If six of the numbers are 2, 4, 8, 14, 16, 18, find the mode 14

5

9

8

Solution

Mean of seven numbers $= \frac{x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7}{7}$

$$= \frac {2 + 4 + 8 + 14 + 16 + 18 + x _ {7}}{7} = 10$$ $$\begin{array}{l} \left(x _ {1} + x _ {2} + x _ {3} + x _ {4} + x _ {5} + x _ {6}\right) + x _ {7} = 7 0 \\ (2 + 4 + 8 + 14 + 16 + 18) + x _ {7} = 7 0 \\ 6 2 + x _ {7} = 7 0 \\ x _ {7} = 8 \\ \end{array}$$

Therefore, the numbers are 2, 4, 8, 8, 14, 16, 18.

Number 8 is the most frequent, therefore, it is the mode.

Answer: 8.

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