AP Statistics Section 2.1 B

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# AP Statistics Section 2.1 B - PowerPoint PPT Presentation

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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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

shape

center

outliers

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

center

mean and standard deviation

median and IQR

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

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.

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

idealized

density

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

divides the area under the curve in half.

The mean of a density curve is the point at which

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

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