This question was asked in a statistics session in my university:
The respective means of the first 8 and last 8 values of a statistical series of 15 values are 8 and 14. Given that the mean of the series is 12, then the 8th value is:
A. 2 B. 3 C. 4 D. 5 E. None of the above
The answer key says that (C) is the correct answer.
I tried in vain to solve this problem, but I couldn't figure out how.
I thought that since 8 is the mean of the first 8 values, therefore the 8th value is for sure greater than 8.
Can someone please explain? Any help or comment is appreciated. Thanks.