Prove that in a arithmetic sequence mean and median are equal.

$35$ households in a neighbourhood are sorted according to their monthly income in the table below.

Calculate the median income in $₹$.

The table below shows the workers in a factory sorted according to their daily wages:

Calculate the median daily wage in $₹$.

The table below gives the number of babies born in a hospital during a week, sorted according to their birth weight.

Calculate the median birth weight in $\mathrm{kg}$.

The table shows some households sorted according to their usage of electricity:

Calculate the median usage of electricity in units.

The table below shows the children in a class sorted according to their marks in the maths exam.

Calculate the median mark of the class.

The table below gives the details of the income tax paid by the employees in an office in a year:

Calculate the median income tax paid.