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F.3 Measures of Central Tendency(Means)

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The mean age of all players in a football team is 21. If the 35-year-old coach and the 51-year-old manager are included, the mean age of the team increases by 2. Find the total number of players in the football team.

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Let n be the total number of players in the football team. Total ages of players = 21n (New mean age) - (Old mean age) = 2 [(21n + 35 + 51)/(n + 2)] - 21 = 2 (21n + 86)/(n + 2) = 23 21n + 86 = 23(n + 2) 21n + 86 = 23n + 46 -2n = -40 n = 20 Ans: There are 20 players. =

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