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Dotplot
shows each data value as a dot above its location on a number line
Roughly Symmetric
if the right side of the graph (containing the half of observations with the largest values) is approximately a mirror image of the left side
Skewed to the right
if the right side of the graph is much longer than the left side
Skewed to the left
if the left side of the graph is much longer than the right side
Stemplot
shows each data value seperated into two parts: a stem, which consists of all but the final digit, and a leaf, the final digit. The stems are ordered from lowest to highest and arranged in a vertical column. The leaves are arranged in increasing order out from the appropriate stems.
histogram
shows each interval of values as a bar. the heights of the bars show the frequencies of values in each interval.
statistic
is a number that describes some characteristics of a sample
parameter
is a number that describes some characteristics of a population
resistant measure
a statistical measure that isn’t sensitive to extreme values
the median
the midpoint of a distribution, the number such that about half the observations are smaller and about half are larger
range
distance between the minimum value and the maximum value
standard deviation
measures the typical distance of the values in a distribution from the mean.
variance
average squared deviation
quartiles
divide the ordered data set into four groups having roughly the same number of values
first quartile Q1
median of the data values that are to the left of the median in the ordered list
third quartile Q3
is the median of the data values that are to the right of the median in the ordered list
interquartile range (IQR)
distance between the first and third quartiles of a distribution
five number summary
distribution of quantitative data consists of the minimum, the first quartile Q1, the third quartile Q3, and the maximum
boxplot
is a visual representation of the five-number summary
back to back stemplot
used to compare the distribution of a quantitative variable in two groups. The leaves are placed in order on each side of the common stem.
splitting stems
dividing each stem in a stemplot into two (or more) parts to display the data more clearly and show the distribution in greater detail.