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The following is ht record of goals scor...

The following is ht record of goals scored by team A in a football session    
   
     For the team b, mean number of goals scored per match was 2 with a standard deviation 1.25 goals. Find which team may be considered more consistent?

Text Solution

Verified by Experts

For Team A,
Mean,
`\overline{x} = \frac{1}{N}\sum_{i=1}^{n}f_ix_i =\frac{50}{25}= 2`
`We know, Variance, \sigma^2 = \frac{1}{N^2}\left [N\sum f_ix_i^2 - (\sum f_ix_i)^2 \right ]`
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Knowledge Check

  • Study the given information carefully and answer the following questions. There was a football tournament of three teams i.e. A, B and C in which each team played 2 matches. Score pattern of the tournament is: • A team gets 2 points for scoring a goal against the opponent team. • A team gets 3 points for scoring a goal against the opponent team from the outside area. • There is a penalty of 1 point if a team concedes a goal. • Only three players from each team scored the goals. A – B Match: B is the winner of this game. Total points scored by B in this match is 4 . Also, team A scored 2 goals and none of the players scored the goal from the outside area. A – C Match: C scored 0 points in the match. Only one player from team A scored a goal from outside area. A scored 4 points in this match. B – C Match: B gets 6 points from match. Team C scored 1 goal more than Team B. One player from team B scored a goal from outside area but none from team C. Find the ratio between the number of goals sored by team B in its match against team C to the number of goals scored by team A in its match against team C

    A
    `2:1`
    B
    `3:1`
    C
    `4:3`
    D
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  • Study the given information carefully and answer the following questions. There was a football tournament of three teams i.e. A, B and C in which each team played 2 matches. Score pattern of the tournament is: • A team gets 2 points for scoring a goal against the opponent team. • A team gets 3 points for scoring a goal against the opponent team from the outside area. • There is a penalty of 1 point if a team concedes a goal. • Only three players from each team scored the goals. A – B Match: B is the winner of this game. Total points scored by B in this match is 4 . Also, team A scored 2 goals and none of the players scored the goal from the outside area. A – C Match: C scored 0 points in the match. Only one player from team A scored a goal from outside area. A scored 4 points in this match. B – C Match: B gets 6 points from match. Team C scored 1 goal more than Team B. One player from team B scored a goal from outside area but none from team C. What is the maximum possible sum of the total number of goals scored by those players of all three teams, who score more than one goal in a tournament?

    A
    18
    B
    14
    C
    12
    D
    15

  • Study the given information carefully and answer the following questions. There was a football tournament of three teams i.e. A, B and C in which each team played 2 matches. Score pattern of the tournament is: • A team gets 2 points for scoring a goal against the opponent team. • A team gets 3 points for scoring a goal against the opponent team from the outside area. • There is a penalty of 1 point if a team concedes a goal. • Only three players from each team scored the goals. A – B Match: B is the winner of this game. Total points scored by B in this match is 4 . Also, team A scored 2 goals and none of the players scored the goal from the outside area. A – C Match: C scored 0 points in the match. Only one player from team A scored a goal from outside area. A scored 4 points in this match. B – C Match: B gets 6 points from match. Team C scored 1 goal more than Team B. One player from team B scored a goal from outside area but none from team C. Find the total number of goals scored by team A and team B together in the tournament.

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