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(d) Elena realises that the top boxplot represents the data for the public transport times and the bottom boxplot represents the data for the
(d) Elena realises that the top boxplot represents the data for the public transport times and the bottom boxplot represents the data for the private transport times. She tries to interpret what the boxplots are telling her by making the statements below. For each one, state whether you agree or disagree with her interpretation, and explain why you think she is correct or incorrect. (1) On average, the travel times of those employees who took public transport to get to work was less than the travel times of those who used private transport to get to work. (i) "There was less variation in the travel times of those employees who took public transport to get to work than in the travel times of those who used private transport to get to work." (ii) More than half of the travel times of those employees who used private transport to get to work were less than the median. (e) Use the boxplot for the travel times of those employees who used private transport to get to work to say whether the data are symmetrical or skewed. If the data are skewed, then state whether they are skewed to the left or slowed to the right. Explain your reasoning briefly. (f) Elena creates (poorly presented) histograms for each of the two datasets, shown in Figures 3 and 4 below. E [2] [2] [2] E 12 Figure 3 Figure 4
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