# AP Statistics Curriculum 2007 EDA Statistics

### From Socr

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Variables can be summarized using statistics. | Variables can be summarized using statistics. | ||

*A '''statistic''' is a numerical measure (or a function) that describes a characteristic of the ''sample''. | *A '''statistic''' is a numerical measure (or a function) that describes a characteristic of the ''sample''. | ||

- | *A '''parameter''' is a numerical measure that describes a characteristic of the ''population''. | + | *A '''parameter''' is a numerical measure that describes a characteristic of the ''population''. We use statistics to estimate parameters. |

- | + | ||

* We use '''sample-statistics''' to estimate/understand '''population parameters''' or characteristics! | * We use '''sample-statistics''' to estimate/understand '''population parameters''' or characteristics! | ||

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* The '''dot-plot''' of the '''Calory''' content of all hotdogs in shown in the image below. Notice the '''summary statistics''' of mean and standard deviation below the graph! | * The '''dot-plot''' of the '''Calory''' content of all hotdogs in shown in the image below. Notice the '''summary statistics''' of mean and standard deviation below the graph! | ||

- | <center>[[Image: | + | <center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig7.jpg|500px]]</center> |

* The '''dot-plot''' of the '''Sodium''' content of all hotdogs in shown in the image below. Notice the '''summary statistics''' of mean and standard deviation below the graph! | * The '''dot-plot''' of the '''Sodium''' content of all hotdogs in shown in the image below. Notice the '''summary statistics''' of mean and standard deviation below the graph! | ||

- | <center>[[Image: | + | <center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig8.jpg|500px]]</center> |

<hr> | <hr> |

## Revision as of 01:31, 28 January 2008

## Contents |

## General Advance-Placement (AP) Statistics Curriculum - Statistics

### Definitions

Variables can be summarized using statistics.

- A
**statistic**is a numerical measure (or a function) that describes a characteristic of the*sample*. - A
**parameter**is a numerical measure that describes a characteristic of the*population*. We use statistics to estimate parameters. - We use
**sample-statistics**to estimate/understand**population parameters**or characteristics!

### Example

Suppose we are interested in the meancalory or mean sodium content of hot dogs. It would be difficult to obtain measures of calory and salt content for ALL hot-dogs. However, we can use the Hot dogs datafile that we discussed uearlier. This data contains a sample of 54 major hot dog brands. Some of the interesting **population papameters** are the mean-calory, mean-sodium, variance-of-calory between hot-dogs and variance-of-sodium between hot-dogs. These measures may be estimated from the sample using the corresponding **sample-statistics** (sample-averages and sample-variances).

- Using SOCR Charts and the Charts activities you can produce a number of interesting graphical summaries for this hotdogs dataset.

- The
**dot-plot**of the**Calory**content of all hotdogs in shown in the image below. Notice the**summary statistics**of mean and standard deviation below the graph!

- The
**dot-plot**of the**Sodium**content of all hotdogs in shown in the image below. Notice the**summary statistics**of mean and standard deviation below the graph!

### References

- SOCR Home page: http://www.socr.ucla.edu

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