Question

If the median of the scores $1,2,x,4,5$ (where $1<2<x<4<5$) is $3$, then the mean of the scores is

• A. $2$
• B. $3$
• C. $4$
• D. $5$

Answer 1

The correct option is B $3$

Given data is, $1,2,x,4,5$
Here number of terms is 5, and also $1<2<x<4<5$

Median $=\frac{5+1}{2}$th term = 3rd term $=x$

Thus, $x=3$

Mean $=\frac{1+2+3+4+5}{5}=3$