Given :
Positive integers 3, 4, 5, 6, 6, 7, and x are all equal.
To Find :
The mean, median, and unique mode are all equal , find x.
Solution :
[tex]mean = \dfrac{3+4+5+6+6+7+x}{7}[/tex]
Median is the middle number in sorted list.
So, median = 6
Also, mode is the number with highest frequency.
mode = 6
So,
mean = mode = median
[tex]\dfrac{31+x}{7}=6=6\\\\x = 11[/tex]
Hence, this is the required solution.
