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.