Find the median of the following:

The runs scored by players of a cricket team are as given—

57, 17, 26, 91, 115, 26, 83, 41, 57, 0, 26.

Find the median and mode of these runs.

For Mean -

We know that,

Where, = Mean, x_i = observations and n = no. of observations.

⇒ = 49

For Median -

Firstly, we’ll arrange the numbers in ascending order -

0, 17, 26, 26, 26, 41, 57, 57, 91, 115

Now, since there are 11 no.s and n = 11 is odd

⇒ Median = 41

For Mode -

We know that, the mode is one with highest frequency, i.e., the one repeats the most.

Here, 26 is repeated three times.

⇒ Mode = 26