The following table presents the number of goals scored by the winning team in a

Question

The following table presents the number of goals scored by the winning team in a sample of championship games in the World Cup soccer tournament. Final answer is 1.02 but i got something different. Step by step explanation please

Goals

1

2

3

4

5

Frequency

2

4

8

4

1

Consider these games to be a population. Let X be the number of goals scored in a game randomly chosen from this population. Compute the population standard deviation.

Write only a number as your answer. Round to two decimal place (for example: 1.74).

Goals

1

2

3

4

5

Frequency

2

4

8

4

1

Explanation / Answer

f=   19  
fx =   55  
      
Mean = fx / f =   2.8947  
Mean square = f x^2 / f =   9.4211  
      
Varriance = (Mean square) - (Mean)^2      
      
Varriance = f x^2 - Mean^2 =   1.042  
Stadard Dev= Var =   1.021  
      

Values ( X ) Frequency(f) fx ( X^2) f x^2 1 2 2 1 2 2 4 8 4 16 3 8 24 9 72 4 4 16 16 64 5 1 5 25 25

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