Course 1 Online!
Henrico County Public Schools, Virginia
Number and Number Sense

Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

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


The student will
a)   describe mean as balance point; and
b)   decide which measure of center is appropriate for a given purpose. 
Essential Knowledge and Skills
  • Find the mean for a set of data.
  • Describe the three measures of center and a situation in which each would best represent a set of data.
  • Identify and draw a number line that demonstrates the concept of mean as balance point for a set of data.
Essential Understandings
  • What does the phrase “measure of center” mean? This is a collective term for the 3 types of averages for a set of data – mean, median, and mode.
  • What is meant by mean as balance point? Mean can be defined as the point on a number line where the data distribution is balanced. This means that the sum of the distances from the mean of all the points above the mean is equal to the sum of the distances of all the data points below the mean. This is the concept of mean as the balance point.
Vertical Articulation
  1. SOL 5.16abcd - a) describe mean/median/mode; b) describe mean as fair share; c) find the mean/median/ mode/range; d) describe range as measure of variation
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Balancing Act (PDF) - Mean as the balance point (Word)
  2. Notes: Measures of Center & Mean as a Balance Point (flipchart) - 32 slides: notes and interactive practice, multiple choice questions
  3. Notes: Measures of Center (flipchart) - interactive practice, multiple choice questions finding mean, median, mode and range
  4. Notes: Measures of Center Vocabulary (doc) - fill in notes on measure of center
  5. Notes: Mean as a Balance Point (flipchart) - 7 slides: notes (similar to above), interactive practice with measure of center, and multiple choice questions
  6. Guided Notes: Candy Mystery (flipchart) - understanding mean, median, mode and practice finding mean as a balance point
  7. Guided Practice: Measures of Center (flipchart) - two videos with practice to review mean, median mode, range and balance point
  8. Activity: Measure of Center with QR Codes (doc) - 9 multiple choice questions finding best measure of center with QR codes
  9. Activity: Haunted House Game (ppt) | Answer Key (doc) - interactive powerpoint practicing mean, meadian and mode (need to click on read only to play)
Real World Lessons
Practice
SOL Mini Quiz
  1. SOL 6.15 Mini Quiz: Measure of Center (pdf)
Skills
  1. Mathematics Assessment Project: A25:Suzi's Company - Apprentice - In this task, you must help Suzi figure out the annual salary bill for her company and check some statistics about rates of pay.
  2. Measures of Central Tendency: Test Scores (doc)
Videos
  1. YouTube: Finding the Mean of a Data Set as a "Balance Point"
  2. PH: Finding the mean
  3. PH: Finding the medium
  4. PH: Finding the mode
Explore Learning
  1. 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).
  2. 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).
  3. Mean, Median and Mode: Build a data set and find the mean, median, and mode. Explore the mean, median, and mode illustrated as frogs on a seesaw, frogs on a scale, and as frogs stacked under a bar of variable height.
  4. 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.
  5. 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.
  6. 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.
Websites
  1. Jeopardy game for Mean, Median, Mode and Range
  2. Learn Alberta: Select Statistics and Probability - Central Tendencies
  3. BrainGenie: Using Measures of Central Tendency 
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.2
6.SP.3
6.SP.5a
6.SP.5c
6.SP.5d
7.SP.3
7.SP.4
S-ID.2