College

If the mean of a positively skewed distribution is 122, which of these values could be the median of the distribution?

A. 130
B. 122
C. 118
D. 126

Answer :

A positively skewed distribution is one in which the long tail is on the right side, which means that the mean is greater than the median. Given that the mean is [tex]$122$[/tex], we must choose a median value that is less than [tex]$122$[/tex].

The options provided are:
[tex]$$130,\quad 122,\quad 118,\quad 126.$$[/tex]

Since [tex]$130$[/tex], [tex]$122$[/tex], and [tex]$126$[/tex] are all greater than or equal to [tex]$122$[/tex], the only option that is less than [tex]$122$[/tex] is:
[tex]$$\boxed{118}.$$[/tex]

Thus, the median of the distribution could be [tex]$118$[/tex].