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AP Statistics Section 2.1 B. Data Analysis Toolbox When describing distributions, always use the following strategies: 1 . Plot your data: make a graph, usually a __________ or a __________. histogram. stemplot.

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slide2

Data Analysis ToolboxWhen describing distributions, always use the following strategies:1. Plot your data: make a graph, usually a __________ or a __________.

histogram

stemplot

2 look for the overall pattern and for striking deviations such as remember cuss
2. Look for the overall pattern: _______, _______, _________ ) and for striking deviations such as ________ . Remember: CUSS

shape

center

spread

outliers

slide4

3. Calculate a numerical summary to describe the _______ and ________.Note: If the distribution is roughly symmetrical use _________________________.If the distribution is skewed use _________________.

center

spread

mean and standard deviation

median and IQR

slide5
Sometimes, the overall pattern of a large number of observations is so regular that we can describe it using a smooth curve.
slide6

Density CurvesConsider the histogram below. We can sketch a smooth curve through the tops of the histogram for a good description of the overall pattern of the data.

slide7

The curve is a mathematical model for the distribution. A mathematical model is an _________description. This smooth curve is called a ________ curve.

idealized

density

slide8

A density curve has the following properties:*the curve is always ____ or _______ the horizontal axis, and*the area under curve represents allobservations and equals ___.

on

above

1

the median of a density curve is the point that
The median of a density curve is the point that

divides the area under the curve in half.

the mean of a density curve is the point at which
The mean of a density curve is the point at which

the curve would balance if it was made out of some solid material.

slide15
Example 2: Here is an unusual ‘broken line” density curve.a) Verify that the graph is a valid density curve.