Question

The points scored by a basket ball team in a series of matches are as follows

17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28 Find the median and mode for the data.

Answer 1

First, arrange the given points scored in ascending order

2, 5, 7, 7, 8,10, 10, 10, 14, 17,18, 24, 25, 27, 28, 48

Here, number of given observations is n = 16 (even)

Since, n is even, so we use the formula for median,

We know that, mode is the observation which is repeated maximum number of times. Here, we see in the given data, 10 is repeated 3 times.

So, mode of a given data is 10.

Hence, median and mode for the given data are 12 and 10, respectively.