In a local tournament, the number of goals per game was tabled as follows: No. o

Question

In a local tournament, the number of goals per game was tabled as follows:

No. of goals

0

1

2

3

4

5

6

7

No. of matches

6

8

9

5

4

4

3

1

How many matches were played?

Write down the mode.

Find the median.

How many nil-all draws took place?

What is the maximum possible number of drawn matches?

Find the mean number of goals scored per match.

Find the standard deviation.

Find the coefficient of variation for this data.(i) Find the coefficient of skewness for this data.

No. of goals

0

1

2

3

4

5

6

7

No. of matches

6

8

9

5

4

4

3

1

Explanation / Answer

1. Total number of matches played = 6 + 8 + 9 + 5 + 4 + 4 + 3 + 1 = 40

2. Mode is 4 as it has the maximum number of occurances

3. Arrange the number of matches in ascending order. Take the average of 4th and 5th.

9

Median = (4 + 5)/2 = 4.5

4. nil-all draws = 6

5. Maximum possible number of drawn matches are those with even number of goals. i.e. 0, 2, 4 and 6.
Total possible numberr of matches are 6 + 9 + 4 + 3 = 22

1 3 4 4 5 6 8

9

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