# 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?

#### 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

Concept: Variance and Standard Deviation - Standard Deviation
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#### APPEARS IN

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