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Chapter 8: Exploring data and statistics

Chapter 8: Exploring data and statistics

pp. 189-214

Authors

, University of New England, Australia, , University of Tasmania, , University of Tasmania
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Summary

LEARNING OUTCOMES

By the end of this chapter, you will:

  • • be able to choose suitable questions for investigation for children of different ages

  • • understand the importance of variation in data and different types of variable

  • • understand the difference between a population and a sample

  • • recognise different ways of displaying data to ‘tell a story’

  • • understand the importance of drawing inferences from data, and the uncertainty associated with these inferences

  • • be able to draw on technology to support the development of statistical understanding.

  • KEY TERMS

    There are many specialist words used in statistics. The ones listed here are the most commonly encountered in primary mathematics. The explanations provided are not definitions as such. For detailed mathematical definitions, go to your favourite mathematics dictionary.

  • Column or bar graph: A way of displaying categorical data using vertical columns or horizontal bars and frequency counts

  • Data: Information collected in a systematic way

  • Distribution: The look or shape of the data when displayed systematically on an axis

  • Interquartile range: Contains the ‘middle half’ of the data set

  • Mean: A balancing point that provides a summary of the data

  • Median: The middle value of an ordered set of data

  • Mode: The most frequently occurring value

  • Pictograph: A column graph that uses pictures or symbols to show the data

  • Pie chart: A sector graph based on a circle, with each sector in proportion to the percentage of the whole

  • Population: The entire group of interest – for example, all Year 3 students in the school

  • Range: A measure of the spread of the data

  • Sample: A sub-group of the population, often intended to be representative of the whole group – for example, Ms Pitt's Year 3 class is a sample of the population of Year 3 children in the school

  • Scootle: An online repository of digital resources for Australian teachers

  • Standard deviation: A measure of the variability or spread of a set of data

  • Stem-and-leaf plot: A display based on splitting each data value into a ‘stem’ and ‘leaves’ – particularly useful for comparing two groups on the same attribute

  • Variation: The concept that underpins statistics.

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