Chapter 1
Numbers and Operations
Course: Elementary Education Multiple Subjects 7001
Subject: Elementary Education Mathematics Subtest 7003
Chapter: Geometry And Measurement Data Statistics And Probability
1. Interprets various displays of data (e.g., boxplots, histograms, scatterplots)
Understanding and interpreting visual data representations is critical for developing statistical literacy. Students must be able to analyze various graph types not only by identifying key features, but also by drawing conclusions, comparing groups, and recognizing trends or anomalies.
Boxplots (Box-and-Whisker Plots)
Boxplots are graphical tools used to summarize a set of numerical data through five key statistics:
- Minimum (smallest data value)
- First Quartile (Q1, or 25th percentile)
- Median (Q2, or 50th percentile)
- Third Quartile (Q3, or 75th percentile)
- Maximum (largest data value)
The box represents the interquartile range (IQR = Q3 − Q1), showing where the middle 50% of the data lies. The whiskers extend from the box to the minimum and maximum values, unless outliers are present, in which case dots or asterisks indicate those outliers.