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: 8
Explanation
Using x = ∑x/N in each case, we get;
∑i=16 xi
= 10 x 7 = 70
∑i=17xi
= 2 + 4 + 8 + 14 + 16 + 18 = 62
Hence the missing number can be obtained from
∑i=16xi −
∑i=17xi
= 70 - 62 = 8
So, all the seven numbers are 2, 4, 8, 8, 14, 16, 18
Mode = 8
Using x = ∑x/N in each case, we get;
∑i=16 xi
= 10 x 7 = 70
∑i=17xi
= 2 + 4 + 8 + 14 + 16 + 18 = 62
Hence the missing number can be obtained from
∑i=16xi −
∑i=17xi
= 70 - 62 = 8
So, all the seven numbers are 2, 4, 8, 8, 14, 16, 18
Mode = 8
