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

Understand and calculate the mean, median, mode, range and interquartile range (IQR) of a dataset, with and without technology. ο‚§ mean: π‘₯Μ… = βˆ‘ π‘₯ 𝑛 ο‚§ median: (𝑛+1 2)th data value

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Question 1

A wildlife conservation team records the number of koalas observed in a eucalyptus forest over seven consecutive monitoring days. The data collected is shown in the table below. Calculate the following statistics for this dataset: (a) the mean number of koalas observed [1 mark] (b) the median number of koalas observed [1 mark] (c) the range [1 mark] (d) the interquartile range (IQR) [1 mark]

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Question 2

The number of visitors to a small museum on nine consecutive Saturdays is recorded in the table below. (a) Calculate the mean number of visitors. [1] (b) Determine the median number of visitors. [1] (c) Calculate the range of visitor numbers. [1]

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Question 3

Calculate the interquartile range (IQR) for the dataset shown.

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Understand and calculate the (sample) standard deviation, 𝑠π‘₯, of a dataset, using technology only.
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