What is a if the mean of the set S 4 10 a 12 13 21 is same as the mode ........

Quantitative Aptitude (CDS) Statistics

Download Solution PDF

What is a if the mean of the set S={4, 10, a, 12, 13, 21} is same as the mode?

10.75

Cannot be determined

छोटे Courses बड़े Results

Master Statistics

Prepare through Micro-courses

Try Now

Explanation:

Let m be the mode and M the mean. Hence, M=(60+a)/6=10+a/6.
For the set to have a mode, a must be one of the five elements already in S i.e. 4, 10,12, 13 and 21.
As M is 10+a/6 it cannot be 4 or 10. If a=12,13,21 => M = 12, 12.167, 13.5.
Hence only for a=12 is the mean and mode same. Hence a=12.