The following is the record of goals scored by team $A$ in a football session :
No. of goals scored 0 1 2 3 4
No. of matches 1 9 7 5 3
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 ?

Question

The following is the record of goals scored by team

A

in a football session :

No. of goals scored	0	1	2	3	4
No. of matches	1	9	7	5	3

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 ?

Filo · Accepted Answer

xi​ fi​fi​xi​ xi2​  fi​xi2​ 0 1 0 0 0 1 9 9 1 9 2 7 14 428  3 5 15 9 454  3 12 16 48 Total 25 50 130Mean=∑i=15​fi​∑i=15​fi​xi​​=2550​=2Given mean of team B=2Mean of both the teams is same.Now,σ =N1​N∑fi​Xi2​−(∑fi​Xi​)2​  =251​25×130−(50)2​  =251​750​  =251​×27.38  =1.09The standard deviation of team B is 1.25 goalsThe average number of goals scored by both the teams is same i.e.2. Therefore, the team with lower standard deviation will be more consistent Thus team A is more consistent than team B.

Question Text	The following is the 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 ?
Answer Type	Text solution:1
Upvotes	150

The following is the record of goals scored by team $A$ in a football session :
No. of goals scored 0 1 2 3 4
No. of matches 1 9 7 5 3
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 solutionVerified

Practice questions from similar books

$x_{i}$	$f_{i}$	$f_{i} x_{i}$	$x_{i}^{2}$	$f_{i} x_{i}^{2}$
0	1	0	0	0
1	9	9	1	9
2	7	14	4	28
3	5	15	9	45
4	3	12	16	48
Total	25	50		130

The following is the record of goals scored by team A in a football session :No. of goals scored01234No. of matches 19753For 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 solutionVerified

Practice questions from similar books

The following is the record of goals scored by team $A$ in a football session :
No. of goals scored 0 1 2 3 4
No. of matches 1 9 7 5 3
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 ?