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.
2,5,7,7,8,10,10,14,17,18,24,25,27,28,48
Here, number of given observations is n=16 (even)
Since, n is even, so we use the formula for median,
Median`=((n/2)"observation"+(n/2+1)"observation")/(2)`
`=((16/2)"observation" + (16/2+1) "Observation")/(2)` [put n=16]
`=("8th observation + 9th observation")/(2)`
`=(10+14)/2=24/2=12`
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, made of a given data is 10.
Hence, median and mode for the given data are 12 and 10, respectively.