Question

The number of goals scored by a football team is given below. 

Find the mode and median for the data of 2 ,3, 2, 4, 6, 1, 3, 2, 4, 1, 6.

Answer 1

Arranging the given data in ascending order: 1, 1, 2, 2, 2, 3, 3, 4, 4, 6, 6

Clearly 2 occurs at the maximum of 3 times and so mode = 2 

Here number of data of data n = 11, odd. 

∴ Median = (\(\frac{n+1}{2}\))^th term 

= (\(\frac{11+1}{2}\))^th term 

= (\(\frac{12}{2}\))^th term 

= 6^th term 

Median = 3