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Henrico County Public Schools, Virginia
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 Algebra and Functions Data Analysis SOL Review Materials Frequently Asked Questions
The student will analyze the normal distribution. Key concepts include:
a)   characteristics of normally distributed data;
b)   percentiles;
c)   normalizing data using z-scores; 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 z-score data normalization.
Vertical Articulation
1. 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.
2. SOL 6.15 - a) describe mean as balance point; b) decide which measure of center is appropriate
3. SOL A.9 - given a set of data, interpret variation in real‐world contexts/calculate/interpret mean absolute deviation/stand dev/z‐scores.
4. SOL AII.11 - identify properties of normal distribution, apply properties to determine probabilities associated with areas under the standard normal curve.
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