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

Understand and calculate the (sample) standard deviation, 𝑠𝑥, of a dataset, using technology only.

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Question 1

A calculator is used to determine the sample standard deviation of the daily temperature (in °C) recorded at a warehouse over eight days. The data is shown in the table below. What is the sample standard deviation, rounded to two decimal places?

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Question 2

A marine biologist measures the shell length (in millimetres) of ten abalone specimens collected from a coastal reef near Adelaide. The data are shown in the table below. (a) Calculate the sample standard deviation of the shell lengths, using technology. (b) Use this value to determine whether a specimen with shell length 98 mm lies within one standard deviation of the mean.

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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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Understand and calculate the mean, median, mode, range and interquartile range (IQR) of a dataset, with and without technology.  mean: 𝑥̅ = ∑ 𝑥 𝑛  median: (𝑛+1 2)th data value
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