Chapter 2 Flashcards
Cumulative relative frequency graph
Used to examine location within a distribution.
Cumulative relative frequency graphs begin by grouping the observations into equalwidth
classes
Density curve
A curve that (a) is always on or above the horizontal axis, and (b) has
exactly 1 area underneath it. A density curve describes the overall pattern of a
distribution
Mean of a density curve
The point at which the curve would balance if made of solid
material
Median of a density curve
The point with half the area under the curve to its left and
the remaining half of the area to its right
Normal curves
An important class of density curves that are symmetric, single-peaked, and bell-shaped.
Normal distribution
Described by a Normal density curve. Any particular Normal
distribution is completely specified by two numbers, its mean μ and standard deviation σ.
The mean of a Normal distribution is at the center of the symmetric Normal curve. The
standard deviation is the distance from the center to the change-of-curvature points on
either side
Pth percentile
The value with p percent of the observations less than it
Standard Normal distribution
The Normal distribution with mean 0 and standard
deviation 1
Standard Normal table (Table A)
A table of areas under the standard Normal curve.
The table entry for each value z is the area under the curve to the left of z
Standardized values (z-scores) I
If x is an observation from a distribution that has known
mean and standard deviation, the standardized value of x is mean
standard deviation
x
z − = . A
standardized value is often called a z-score.