Standards Database Logo
Home | Browse | Search | Purpose | History | Process | Acknowledgment| Reference

 


 


Topic: Data distribution 

Mathematics

 Standard 6.  Understands and applies basic and advanced concepts of statistics and data analysis
  Level II (Grade 3-5)
   Benchmark 2.Understands that spreading data out on a number line helps to see what the extremes are, where the data points pile up, and where the gaps are
    Knowledge/skill statements
     1.Understands the concept of gaps in data
     2.Understands the concept of extremes in data
     3.Understands the concept of clusters in data
     4.Uses a number line to see gaps in data
     5.Uses a number line to see extremes in data
     6.Uses a number line to see clusters in data
   Benchmark 3.Understands that a summary of data should include where the middle is and how much spread there is around it
    Knowledge/skill statements
     1.Understands the concept of the middle of the data distribution
     2.Understands the concept of the spread of data
     3.Understands the concept of summarizing data
  Level III (Grade 6-8)
   Benchmark 1.Understands basic characteristics of measures of central tendency (i.e., mean, mode, median)
    Knowledge/skill statements
     1. Understands the concept of central tendency
     2. Understands the concept of the mean
     3. Computes mean
     4.Understands the concept of the mode
     5.Computes mode
     6. Understands the concept of the median
     7. Computes median
   Benchmark 2.Understands basic characteristics of frequency and distribution (e.g., range, varying rates of change, gaps, clusters)
    Knowledge/skill statements
     1.Understands the concept of gaps
     2.Understands the concept of varying rates of change
     3.Understands the concept of a frequency distribution
     4.Understands the concept of clusters
     5.Understands the concept of range
     6.Computes range
   Benchmark 3.Understands the basic concepts of center and dispersion of data
    Knowledge/skill statements
     1.Understands the concept of dispersion
     2. Understands the concept of data dispersion around the center
   Benchmark 9.Understands the basic concept of outliers
    Knowledge/skill statements
     1. Understands the concept of outliers
  Level IV (Grade 9-12)
   Benchmark 2.Understands measures of central tendency and variability (e.g., standard deviation, range, quartile deviation) and their applications to specific situations
    Knowledge/skill statements
     1.Computes standard deviation
     2.Understands the concept of range
     3.Understands the concept of quartile deviation
     4.Computes quartile deviation
     5.Understands the concept of standard deviation
     6.Understands the relationship between central tendency and dispersion
     7.Computes range
     8.Understands the concept of quartiles
     9.Computes quartiles
   Benchmark 3.Understands the concept of correlation (e.g., the difference between a "true" correlation and a "believable" correlation; when two variables are correlated)
    Knowledge/skill statements
     1.Understands the relationship between causality and correlation
     2.Understands the concept of spurious correlation
     3. Understands the concept of correlation
   Benchmark 4.Understands different methods of curve-fitting (e.g., median-fit line, regression line) and various applications (e.g., making predictions)
    Knowledge/skill statements
     1. Understands the median-fit method of curve fitting
     2.Understands the least squares method of curve fitting
     3.Understands prediction as it relates to curve fitting
     4.Understands the concept of curve fitting
   Benchmark 5.Understands how outliers may affect various representations of data (e.g., a regression line might be strongly influenced by a few aberrant points, whereas the scatter plot for the same data might suggest that the aberrant points represent mistakes)
    Knowledge/skill statements
     1.Understands how outliers can affect a regression line
     2.Understands how a scatter plot helps identify outliers
   Benchmark 7.Understands sampling distributions, the central limit theorem, and confidence intervals
    Knowledge/skill statements
     1.Understands the concept of sampling distribution
     2.Understands the concept of confidence intervals
     3.Understands the concept of the central limit theorem
 Standard 7.  Understands and applies basic and advanced concepts of probability
  Level IV (Grade 9-12)
   Benchmark 5.Understands the properties of the normal curve (i.e., the graph used to approximate the distribution of data for many real-world phenomena) and how the normal curve can be used to answer questions about sets of data
    Knowledge/skill statements
     1.Understands how the normal curve can be used to answers questions about data
     2.Understands the properties of the normal curve