Descriptive Statistics
Descriptive Statistics
14.4 Measures of
Spread
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Descriptive Statistics
Conclusion
Descriptive Statistics
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The Standard Deviation of a Data Set
Let A denote the mean of the data set. For
each number x in the data set, compute its
deviation from the mean (x – A), and square
each of these numbers. These are called the
squared deviations.
Find the average of the squared deviations.
This number is called the variance V.
The standard deviation is the square root of
the variance ( σ = V ).
Range
The difference between the highest and lowest
values of the data and is denoted by R. Thus,
R = Max - Min.
Interquartile Range
The difference between the third quartile and
the first quartile (IQR = Q3 – Q1), and it tells us
how spread out the middle 50% of the data
values are.
Basic concepts in statistics
Graphical summaries
Numerical summaries
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