In this chapter, we will be learning about measures of dispersion for ungrouped data. Dispersion refers to how spread out or scattered the data is. We will learn about different measures of dispersion, such as range, mean deviation, and standard deviation. We will also learn how to compare and interpret the dispersion of two or more sets of data using stem-and-leaf plots and dot plots. By the end of this chapter, we will be able to draw conclusions based on the dispersion of the data.
• Explain the meaning of dispersion
• Compare and interpret dispersion of two or more sets of data based on the stem-and-leaf plots and dot plots, hence make conclusion
• Determine the range, interquartile range, variance and standard deviation as a measure to describe dispersion of an ungrouped data.
• Explain the advantages and disadvantages of various measures of dispersion to describe ungrouped data.
• Construct and interpret the box plot for a set of ungrouped data.
• Determine the effect of data changes on dispersion based on: (i) the value of measure of dispersion (ii) graphical representation
• Compare and interpret two or more sets of ungrouped data, based on the appropriate measures of dispersion, hence make conclusion.
• Solve problems involving measures of dispersion
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