Question

In a diagnostic test in mathematics given to students, the following marks (out of $100$) are recorded: $46,52,48,11,41,62,54,53,96,40,98,44$. Which ‘average’ will be a good representative of the above data and why?

Answer 1

Determine the best average for the given data:

The given data: $46,52,48,11,41,62,54,53,96,40,98,44$.

It is clear that each value occurs once.

The rearranged data is $11,40,41,44,46,48,52,53,54,62,96,98$.

Thus, the data is influenced by extreme values.

Hence, the average of the given data can be best represented by the Median.

Therefore, the average can be best represented by the Median.