In this Grade 7 lesson from Pengi Math Chapter 9, students learn to construct and interpret side-by-side box plots to compare two populations. They analyze variability using interquartile range (IQR), whisker length, and box height to draw informal comparative inferences. Students then use these statistical measures to make predictions about populations based on their box plot analysis.
Section 1
Introduction to Box-and-Whisker Plots
A box-and-whisker plot displays data distribution using five key values: minimum, first quartile (), median (), third quartile (), and maximum. The box represents the interquartile range (IQR) where , and the whiskers extend to the minimum and maximum values.
Section 2
Comparing Populations Using Box Plots
Box plots allow us to visually compare two or more populations by displaying their five-number summaries side by side. When comparing populations, we can analyze differences in center (median position), spread (box width and whisker length), and overall distribution shape to draw conclusions about how the populations differ.
Expand to review the lesson summary and core properties.
Section 1
Introduction to Box-and-Whisker Plots
A box-and-whisker plot displays data distribution using five key values: minimum, first quartile (), median (), third quartile (), and maximum. The box represents the interquartile range (IQR) where , and the whiskers extend to the minimum and maximum values.
Section 2
Comparing Populations Using Box Plots
Box plots allow us to visually compare two or more populations by displaying their five-number summaries side by side. When comparing populations, we can analyze differences in center (median position), spread (box width and whisker length), and overall distribution shape to draw conclusions about how the populations differ.