# AP Statistics Curriculum 2007 EDA Statistics

(Difference between revisions)
 Revision as of 01:22, 28 January 2008 (view source)IvoDinov (Talk | contribs) (New page: == General Advance-Placement (AP) Statistics Curriculum - Statistics== ===Definitions=== Variables can be summarized using statistics. *A '''statistic''...)← Older edit Revision as of 01:28, 28 January 2008 (view source)IvoDinov (Talk | contribs) Newer edit → Line 13: Line 13: * Using [http://socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] and the [[SOCR_EduMaterials_ChartsActivities | Charts activities]] you can produce a number of interesting graphical summaries for [[SOCR_012708_ID_Data_HotDogs | this hotdogs dataset]]. * Using [http://socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] and the [[SOCR_EduMaterials_ChartsActivities | Charts activities]] you can produce a number of interesting graphical summaries for [[SOCR_012708_ID_Data_HotDogs | this hotdogs dataset]]. - * The histogram of the '''Calory''' content of all hotdogs in shown in the image below. Note the clear separation of the calories into 3 distinct sub-populations. Could this be related to the type of meat in the hotdogs? + * 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! +
[[Image:SOCR_EBook_Dinov_EDA_012708_Fig5.jpg|500px]]
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[[Image:SOCR_EBook_Dinov_EDA_012708_Fig3.jpg|500px]]
+ * 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 histogram of the '''Sodium''' content of all hotdogs in shown in the image below. What patterns in this histogram can you identify? Try to explain! +
[[Image:SOCR_EBook_Dinov_EDA_012708_Fig6.jpg|500px]]
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[[Image:SOCR_EBook_Dinov_EDA_012708_Fig4.jpg|500px]]
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## 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).

• 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!