AP Statistics Chapter 1 - Exploring Data
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20 Terms
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quartile
The 3rd ________ (Q3) is the middle number of the values that are greater than the median.
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Distribution
________ The ________ of a variable tells us what values the variable takes and how often it takes these variables.
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Low outlier cutoff
________: Therefore, the 2 is an outlier.
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numerical values
A quantitative variable takes ________ for which arithmetic operations such as adding and averaging make sense.
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third quartile
Max The Interquartile Range (IQR) The IQR is the distance between the first and ________, IQR= Q3- Q1 Outliers: The 1.5 x IQR Criterion Call an observation an outlier if it falls more than 1.5 x IQR below the first quartile or above the ________.
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quartile
The 1st ________ (Q1) is middle number of the values that are less than the median.
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Quartiles
The ________ (Q1 and Q3) To calculate the ________, arrange the observations in increasing order and locate the median M in the ordered list of observations.
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AP Statistics Chapter 1 Notes -Exploring Data 1.1/2
Categorical Variables and Displaying Distributions with Graphs Individuals and Variables Individuals are objects described by a set of data
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Describing the SHAPE of a distribution
Symmetric and Skewed Distributions
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1.3
Describing Distributions with Numbers The Mean ( x ) To find the mean of a set of observations, add their values and divide by the number of observations
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To find the median of distribution
Arrange all observation in order of size, from smallest to largest
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Max The Interquartile Range (IQR) The IQR is the distance between the first and third quartiles, IQR = Q3 -Q1 Outliers
The 1.5 x IQR Criterion Call an observation an outlier if it falls more than 1.5 x IQR below the first quartile or above the third quartile
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Low outlier cutoff
Therefore, the 2 is an outlier
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High outlier cutoff
no outlier Boxplot A boxplot is a graph of the five-number summary, with outliers plotted individually
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xi
mean
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6
4.8 = 1.2
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3
4.8 = -1.8
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8
4.8 = 3.2
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5
4.8 = 0.2
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2
4.8 = -2.8
