Algebra and Functions 

Data Analysis 

SOL Review Materials 




The student will analyze the normal distribution. Key concepts include:
a) characteristics of normally distributed data;
b) percentiles;
c) normalizing data using zscores; and
d) area under the standard normal curve and probability. 
Essential Knowledge and Skills 
 Interpret mean, median, mode, range, interquartile range, variance, and standard deviation of a univariate data set in terms of the problem’s context.
 Explain the influence of outliers on a univariate data set.
 Explain ways in which standard deviation addresses dispersion by examining the formula for standard deviation.
 Identify the properties of a normal probability distribution.
 Describe how the standard deviation and the mean affect the graph of the normal distribution.
 Determine the probability of a given event, using the normal distribution.

Essential Understandings 
 Analysis of the descriptive statistical information generated by a univariate data set includes the relationships between central tendency, dispersion, and position.
 The normal distribution curve is a family of symmetrical curves defined by the mean and the standard deviation.
 Areas under the curve represent probabilities associated with continuous distributions.
 The normal curve is a probability distribution and the total area under the curve is 1.
 The mean of the data in a standard normal density function is 0 and the standard deviation is 1. This allows for the comparison of unlike data.
 The amount of data that falls within 1, 2, or 3 standard deviations of the mean is constant and the basis of zscore data normalization.


Vertical Articulation 
 SOL 5.16  a) describe
mean/median/mode; b) describe
mean as fair share; c) find the
mean/median/mode/range; d)
describe range as a measure of
variation.
 SOL 6.15  a) describe mean as balance
point; b) decide which measure of
center is appropriate
 SOL A.9  given a set of data, interpret
variation in real‐world
contexts/calculate/interpret mean
absolute deviation/stand dev/z‐scores.
 SOL AII.11  identify properties of normal
distribution, apply properties to
determine probabilities associated
with areas under the standard
normal curve.

Instructional Materials 
 AFDA.7ab  Notes: Normal Curve (ppt)
 AFDA.7c  Notes: Zscores (ppt)
 AFDA.7d  Area Under the Curve (ppt)

Frederick County Resources 

Real World Lessons 

Practice 

Skills 

Videos 

Explore
Learning 

Websites 

Common Core
Standards 

