Question

A hockey player has scored following number of goals in 9 matches: 

5, 4, 0, 2, 2, 4, 4, 3,3.

Find the mean, median and mode of the data.

Answer 1

i. Given data: 5, 4, 0, 2, 2, 4, 4, 3, 3. 

Total number of observations = 9

∴ The mean of the given data is 3. 

ii. Given data in ascending order: 

0,2, 2, 3, 3, 4, 4, 4,5 

∴ Number of observations(n) = 9 (i.e., odd) 

∴ Median is the middle most observation 

Here, the 5^th number is at the middle position, which is 3. 

∴ The median of the given data is 3.

iii. Given data in ascending order: 

0,2, 2, 3, 3, 4, 4, 4,5 

Here, the observation repeated maximum number of times = 4 

∴ The mode of the given data is 4.