Standard Deviation, SM-Bank 017
Dataset 1 has mean \(\bar x_1\) and standard deviation \(\sigma_1\).
Dataset 2 has mean \(\bar x_2\) and standard deviation \(\sigma_2\).
Consider the following statement: If \(\bar x_1 < \bar x_2\), then \(\sigma_1 < \sigma_2\).
Is this statement correct? Explain your answer. (2 marks)
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Standard Deviation, SM-Bank 004
Two data sets are represented in the dot plot diagrams below.
- Calculate the standard deviation of Data Set B, giving your answer correct to one decimal place. (1 mark)
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- Without using calculations, explain which data set has the highest standard deviation. (2 marks)
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