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Flowers were planted in two gardens (Garden A and Garden B) - HSC - SSCE Mathematics Advanced - Question 16 - 2024 - Paper 1
Question 16
Flowers were planted in two gardens (Garden A and Garden B). On a particular day, 25 flowers were randomly selected from each garden and their heights measured in m... show full transcript
Worked Solution & Example Answer:Flowers were planted in two gardens (Garden A and Garden B) - HSC - SSCE Mathematics Advanced - Question 16 - 2024 - Paper 1
Step 1
Compare the skewness of the distributions
Answer
The dataset for Garden A is negatively skewed, indicated by a longer tail on the left-hand side of the box-plot. This suggests that the heights of flowers in Garden A are clustered towards the higher values, with fewer shorter flowers. In contrast, the dataset for Garden B is positively skewed, as reflected in a longer tail on the right-hand side, indicating that the lower heights are more spread out, with most flowers being relatively shorter.
Step 2
Step 3
Compare the measures of spread
Answer
The interquartile range (IQR) of Garden A is larger than the IQR of Garden B. This indicates that the heights of flowers in Garden A have a greater variability compared to those in Garden B. Additionally, the overall range of heights in Garden A is larger than the range in Garden B, further illustrating the spread of the data.