Course 2 Online!
Henrico County Public Schools, Virginia
7.11 - Statistical Graphs
Number, Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Probability and Statistics
Focus: Applications of Statistics and Probability


The student, given data for a practical situation, will
a)   construct and analyze histograms; and
b)   compare and contrast histograms with other types of graphs presenting information from the same data set. 
Essential Knowledge and Skills 
  • Collect, analyze, display, and interpret a data set using histograms. For collection and display of raw data, limit the data to 20 items.
  • Determine patterns and relationships within data sets (e.g., trends).
  • Make inferences, conjectures, and predictions based on analysis of a set of data.
  • Compare and contrast histograms with line plots, circle graphs, and stem-and-leaf plots presenting information from the same data set.
Essential Understandings
  • What types of data are most appropriate to display in a histogram? Numerical data that can be characterized using consecutive intervals are best displayed in a histogram.
Vertical Articulation
  • SOL 5.15 - collect/organize/interpret data, using stem-and-leaf plots/line graphs
  • SOL 6.14abc - a) construct circle graphs; b) draw conclusions/make predictions, using circle graphs; c) compare/contrast graphs
  • SOL 8.13ab - a) make comparisons/predictions/inferences, using information displayed in graphs; b) construct/analyze scatterplots
  • SOL A.10 - compare/contrast multiple univariate data sets with box-and-whisker plots
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Numbers in a Name (PDF) - Constructing, analyzing, comparing, and contrasting histograms (Word)
  2. Notes: Statistics Lesson Plan (pdf)
  3. Notes: Histogram (flipchart)
  4. Guided Notes: Histogram (pdf)
  5. Project: Graphical Methods (doc)
  6. VDOE Algebra Readiness Curriculum Companion: Exploring Statistics (pdf)
Real World Lessons
Practice
  1. Worksheet: Histograms (doc)
  2. Worksheet: Histograms to Circle Graphs (doc)
  3. Worksheet: Histograms to Other Graphs (doc)
  4. Quiz: Graphical Methods (doc)
SOL Mini Quiz
  1. SOL 7.11 Mini Quiz: Statistics (pdf) | (doc)
Skills
  1. Mathematics Assessment Project: E12:Candy Bars - Expert - In this task, you analyze a survey to decide how many candy bars students typically eat in a week.
Videos
  1. PH: Making a histogram
Explore Learning
  1. Box-and-Whisker Plots: Construct a box‑and‑whisker plot to match a line plots, and construct a line plot to match a box‑and‑whisker plots. Manipulate the line plot and examine how the box‑and‑whisker plot changes. Then manipulate the box‑and‑whisker plot and examine how the line plot changes.
  2. Describing Data Using Statistics: Investigate the mean, median, mode, and range of a data set through its graph. Manipulate the data and watch how the mean, median, mode, and range change (or, in some cases, how they don't change).
  3. Histograms: Change the values in a data set and examine how the dynamic histogram changes in response. Adjust the interval size of the histogram and see how the shape of the histogram is affected.
  4. Line Plots: Build a data set using a line plot. Find its mean, median, mode, and range. Change the data values by dragging the points, and watch how the mean, median, mode, and range change (or, in some cases, do not change).
  5. Graphing Skills: Create a graph (bar graph, line graph, pie chart, or scatter plot) based on a given data set. Title the graph, label the axes, and choose a scale. Adjust the graph to fit the data, and then check your accuracy. The Gizmo can also be used to create a data table based on a given graph.
  6. Movie Reviewer (Mean and Median): Movie reviewers rate movies on a scale of 0 to 10. Each movie comes with a set of reviews that can be changed by the user. The mean of a data set can be explored using a see-saw balance model. Students can also find the median, mode, and range of the data set.
  7. Reaction Time 1 (Graphs and Statistics): Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 1 Student Exploration focuses on range, mode, and median.
  8. Reaction Time 2 (Graphs and Statistics): Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 2 Student Exploration focuses on mean.
  9. Scatter Plots - Activity A: Examine the scatter plot for a random data set with negative or positive correlation. Vary the correlation and explore how correlation is reflected in the scatter plot and the trend line.
  10. Stem-and-Leaf Plots: Build a data set and compare the line plot of the data set to the stem‑and‑leaf plot.
  11. Graphing Skills: Create a graph (bar graph, line graph, pie chart, or scatter plot) based on a given data set. Title the graph, label the axes, and choose a scale. Adjust the graph to fit the data, and then check your accuracy. The Gizmo can also be used to create a data table based on a given graph.
  12. Populations and Samples: Compare sample distributions drawn from population distributions. Predict characteristics of a population distribution based on a sample distribution and examine how well a small sample represents a given population.
Websites
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Exploring Statistics - The lessons focus on methods of data collection and use of technology to represent data with various types of graphs. Students learn that different graphs represent different types of data effectively and to use measures of center and dispersion to analyze and interpret data. (pdf)
Common Core Standards
6.SP.4
6.SP.5a
N-Q.1
N-Q.2
N-Q.3