Find the median of the data

Arranging the given data in ascending order:
33, 35, 41, 46, 55, 58, 64, 77, 87, 90, 92

Number of terms = 11 (odd)

$\therefore$ Median $=\left(\frac{n+1}{2}\right)^{\text {th }}$ term

$=\left(\frac{11+1}{2}\right)^{\text {th }}$ term

$=6^{\text {th }}$ term

$=58$

Hence, the median of the data is 58.

Now, In the above data, if 41 and 55 are replaced by 61 and 75 respectively.
Then, new data in ascending order is:
33, 35, 46, 58, 61, 64, 75, 77, 87, 90, 92

Number of terms = 11 (odd)

$\therefore$ Median $=\left(\frac{n+1}{2}\right)^{\text {th }}$ term

$=\left(\frac{11+1}{2}\right)^{\text {th }}$ term

$=6^{\text {th }}$ term

$=64$

Hence, the new median of the data is 64.