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The stem-and-leaf plot shows the number of goals scored by a team in each of ten netball games - HSC - SSCE Mathematics Standard - Question 3 - 2021 - Paper 1
Question 3
The stem-and-leaf plot shows the number of goals scored by a team in each of ten netball games. ``` Stem | Leaf 0 | 6 8 1 | 2 4 5 2 | 1 5 5 9 3 | 5 ``` ... show full transcript
Worked Solution & Example Answer:The stem-and-leaf plot shows the number of goals scored by a team in each of ten netball games - HSC - SSCE Mathematics Standard - Question 3 - 2021 - Paper 1
Step 1
Identify the mode of this dataset
Answer
To determine the mode, we must find the number that appears most frequently in the dataset represented by the stem-and-leaf plot.
From the plot, we can extract the goals scored:
- From Stem 0: Goals are 6, 8
- From Stem 1: Goals are 2, 4, 5
- From Stem 2: Goals are 1, 5, 5, 9
- From Stem 3: Goals are 5
Now we can list the numbers:
- 6, 8, 2, 4, 5, 1, 5, 5, 9, 5
Next, we count the frequency of each goal:
- 1 appears 1 time
- 2 appears 1 time
- 4 appears 1 time
- 5 appears 4 times
- 6 appears 1 time
- 8 appears 1 time
- 9 appears 1 time
The number that appears most frequently is 5, which occurs 4 times.
Therefore, the mode of this dataset is 25 (option C).