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Central tendency

31 26 26 25 29 31 34 28 24 34
25 31 28 32 29 25 25 36 38 25
25 29 34 24 32 26 31 30 27 31
25 25 36 31 23 29 27 34 37 32

(a) Find the mean age of the players
(b) Find the median age of the players
(c) Identify the modal age of the players if one exist.

Solution This solution is FREE courtesy of BrainMass!

(a)

Mean = Sum of all the ages/number of players = 1170/40 = 29.25 year

(b)

Arrange data in ascending order then the middle two numbers will be 29 and 29.

Median = (29+29)/2 = 29 year

(c)

Mode is the most frequent number. Here most number of the players are of the age 25.

Modal age = 25 years