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General Mathematics · Unit 2 · Univariate data analysis 1 · Making sense of data relating to a single statistical variable

Select, construct and justify an appropriate graphical display to describe the distribution of a numerical dataset, including dot plot, stem-and-leaf plot, column chart and histogram.

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Question 1

A biologist records the daily water consumption (in litres) of 24 plants over one month. The measurements range from 0.8 L to 4.2 L, with several plants consuming exactly 1.5 L, 2.0 L, and 2.8 L. Which graphical display is most appropriate to show the distribution and identify the most frequently occurring values?

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Question 2

A sports coach records the number of training sessions attended by players in a basketball squad over a six-week period. Use the data to construct a histogram with appropriate class intervals and explain whether the distribution shows that most players are meeting the coach's expectation of at least 10 sessions.

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More in Making sense of data relating to a single statistical variable

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Describe a graphical display in terms of the number of modes, shape (symmetric versus positively or negatively skewed), measures of centre and spread, and outliers, and interpret this information in the context of the data.
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