In this chapter, we will be learning about measures of dispersion for grouped data. Dispersion refers to how spread out the data is. We will learn how to construct a histogram and frequency polygon for a set of grouped data. These graphs will help us visualize the data and understand its dispersion. We will also learn how to compare and interpret the dispersions of two or more sets of grouped data using the histogram and frequency polygon. This will allow us to make conclusions about the data sets.
• Construct histogram and frequency polygon for a set of grouped data.
• Compare and interpret the dispersions of two or more sets of grouped data based on histogram and frequency polygon, hence make conclusion.
• Construct an ogive for a set of grouped data and determine the quartiles.
• Determine range, interquartile range, variance and standard deviation as a measure to describe dispersion for grouped data
• Construct and interpret a box plot for a set of grouped data.
• Compare and interpret two or more sets of grouped data, based on measures of dispersion hence make conclusion.
• Solve problems involving measures of dispersion for grouped data.
• Design and conduct a mini-project involving statistical investigations based on measures of central tendency and measures of dispersion and hence interpret and communicate research findings.
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