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Maeve's team plays 11 matches in a league - Junior Cycle Mathematics - Question 2 - 2022
Question 2
Maeve's team plays 11 matches in a league. The table below shows the number of goals that Maeve's team score in each of these 11 matches. 3 1 1 0 2 7 1 0 2 ... show full transcript
Worked Solution & Example Answer:Maeve's team plays 11 matches in a league - Junior Cycle Mathematics - Question 2 - 2022
Step 1
Work out the mean number of goals that Maeve's team score per match.
Answer
To find the mean number of goals scored per match, we first sum the total number of goals:
Next, we divide this total by the number of matches (which is 11):
Rounding to one decimal place, the mean number of goals scored per match is 1.9.
Step 2
Complete the pie chart below, to summarise the data showing the proportion of their games in which Maeve’s team scored 0 goals, 1 goal, and so on.
Answer
From the data:
- 0 goals: 4 matches (0,1,1)
- 1 goal: 3 matches (1)
- 2 goals: 2 matches (2,2)
- 3 goals: 2 matches (3,3)
- 7 goals: 1 match (7)
Calculate angles for the pie chart:
Total matches = 11, the total circle is 360 degrees.
-
For 0 goals:
- Proportion = ( \frac{4}{11} \times 360 = 131.4^{\circ} ) (approx 131\degree)
-
For 1 goal:
- Proportion = ( \frac{3}{11} \times 360 = 98.2^{\circ} ) (approx 98\degree)
-
For 2 goals:
- Proportion = ( \frac{2}{11} \times 360 = 65.5^{\circ} ) (approx 66\degree)
-
For 3 goals:
- Proportion = ( \frac{2}{11} \times 360 = 65.5^{\circ} ) (approx 66\degree)
-
For 7 goals:
- Proportion = ( \frac{1}{11} \times 360 = 32.7^{\circ} ) (approx 33\degree)
Conclusion:
- 0 goals: 131\degree
- 1 goal: 98\degree
- 2 goals: 66\degree
- 3 goals: 66\degree
- 7 goals: 33\degree
These angles should be drawn in the pie chart and each sector labelled accordingly.