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

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
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.

Explanation Video

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