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

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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Question 1

A sports club recorded the number of participants attending weekend training sessions over 25 consecutive weeks. The data are displayed in the histogram below. (a) Describe the shape and number of modes of the distribution. (1 mark) (b) Calculate the percentage of weeks in which fewer than 30 participants attended. (1 mark) (c) The mean number of participants is 32.8 and the median is 30.0. Use these measures to describe the skewness of the distribution and explain what this indicates about the training session attendance pattern. (2 marks)

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Question 2

A dataset records the weekly hours worked by 120 employees at a retail business. The histogram shows a distribution that is negatively skewed with one clear outlier. Which statement best describes the outlier?

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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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