1.

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»

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

Total number of observations = 9

\(Mean = \cfrac{The\,sum \,of\, all \,observatiojns \,in \,the \,data }{Total \,number \,of \,observations}\)

= \(\frac{5+4+0+2+2+4+4+3+3}{9}\)

= \(\frac{27}{9}\)

∴ 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 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.


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