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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 Standarddeviation 1.25 Goals. Find Which Team May Be Considered More Consistent? - Mathematics

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?

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Solution

The mean and the standard deviation of goals scored by team A are calculated as follows.

No. of goals scored No. of matches fixi xi2 fixi2

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

 

25

50

 

130

The standard deviation of team B is 1.25 goals.

The 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

 

  Is there an error in this question or solution?
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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 15 Statistics
Q 4 | Page 376
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