The number of goals scored by a football team in 20 matches is shown below
(begin{array}{cc} text{No. of goals} & 0 & 1 & 2 & 3 & 4 & 5 \ hline text{No. of matches} & 3 & 5 & 7 & 3 & 1 & 0 end{array})
What are the values of the mean and the mode respectively?
(begin{array}{cc} text{No. of goals} & 0 & 1 & 2 & 3 & 4 & 5 \ hline text{No. of matches} & 3 & 5 & 7 & 3 & 1 & 0 end{array})
What are the values of the mean and the mode respectively?

A.
(1.75, 5) 
B.
(1.75, 2) 
C.
(1.75, 1) 
D.
(65, 74)
Correct Answer: Option B
Explanation
(begin{array}{cc}x & f & fx\ hline 0 & 3 & 0\ 1 & 5 & 5\ 2 & 7 & 14\ 3 & 4 & 12\4 & 1 & 4\5 & 0 & 0end{array})
(sum{f}) = 20
(sum fx) = 35
Mean = (frac{sum fx}{sum f})
= (frac{35}{20})
= (frac{7}{4})
= 1.75
Mode = 2
= 1.75, 2