Convert the following and express your answers in standard form: (i) 31 days into minutes; (ii) 6 hours into seconds.

The given data set is $2, 3, (4m-3), (3m+1), 11, 13$.
There are $n=6$ data points.

For an even number of data points, the median is the average of the two middle terms when the data is arranged in ascending order. The middle terms are the $\frac{n}{2}$-th term and the $(\frac{n}{2}+1)$-th term.
In this case, $n=6$, so the middle terms are the $\frac{6}{2}=3$rd term and the $(\frac{6}{2}+1)=4$th term.

Assuming the given data set is already in ascending order (which is consistent with the solution for $m$), the 3rd term is $(4m-3)$ and the 4th term is $(3m+1)$.

The median is given as 6.

Combine like terms in the numerator:

Multiply both sides by 2:

Add 2 to both sides:

Divide by 7:

Substitute $m=2$ back into the data set:
$2, 3, (4(2)-3), (3(2)+1), 11, 13$
$2, 3, (8-3), (6+1), 11, 13$
$2, 3, 5, 7, 11, 13$
The sorted list is $2, 3, 5, 7, 11, 13$. The 3rd term is 5 and the 4th term is 7.
The median is $\frac{5+7}{2} = \frac{12}{2} = 6$. This matches the given median.

The value of $m$ is: