{"id":1730,"date":"2023-04-13T16:26:40","date_gmt":"2023-04-13T16:26:40","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&p=1730"},"modified":"2024-10-18T20:54:37","modified_gmt":"2024-10-18T20:54:37","slug":"data-collection-basics-learn-it-2","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/data-collection-basics-learn-it-2\/","title":{"raw":"Data Collection Basics: Learn It 2","rendered":"Data Collection Basics: Learn It 2"},"content":{"raw":"

Sample and Statistic<\/h2>\r\n

Since surveying an entire population is often impractical, we usually select a sample<\/strong> to study.<\/p>\r\n

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sample<\/h3>\r\n

A sample<\/strong> is a smaller subset of the entire population, ideally one that is fairly representative of the whole population.<\/p>\r\n<\/div>\r\n<\/section>\r\n

We will discuss sampling methods in greater detail in a later section.\u00a0 For now, let us assume that samples are chosen in an appropriate manner.\u00a0 If we survey a sample, say [latex]100[\/latex] first-year students at your college, and find the average amount of money spent by these students on textbooks, the resulting number is called a statistic<\/strong>.<\/p>\r\n

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statistic<\/h3>\r\n

A statistic<\/strong> is a value (average, percentage, etc.) calculated using the data from a sample.<\/p>\r\n<\/div>\r\n<\/section>\r\n

[videopicker divId=\"tnh-video-picker\" title=\"Statistic vs Parameter\" label=\"Select Video\"]
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\r\n[\/videopicker]\r\n\r\n

<\/p>\r\n

You can view the transcript for \u201cStatistic vs Parameter & Population vs Sample\u201d here (opens in new window).<\/a><\/p>\r\n

You can view the transcript for \u201cParameter vs Statistic\u201d here (opens in new window).<\/a><\/p>\r\n

You can view the transcript for \u201cPopulations, Samples, Parameters, and Statistics\u201d here (opens in new window).<\/a><\/p>\r\n<\/section>\r\n

A researcher wanted to know how citizens of Tacoma felt about a voter initiative. To study this, she goes to the Tacoma Mall and randomly selects [latex]500[\/latex] shoppers and asks them their opinion. [latex]60\\%[\/latex] indicate they are supportive of the initiative. What is the sample and population? Is the [latex]60\\%[\/latex] value a parameter or a statistic?
\r\n[reveal-answer q=\"55672\"]Show Solution[\/reveal-answer]
\r\n[hidden-answer a=\"55672\"]The sample is the [latex]500[\/latex] shoppers questioned. The population is less clear. While the intended population of this survey was Tacoma citizens, the effective population was mall shoppers. There is no reason to assume that the [latex]500[\/latex] shoppers questioned would be representative of all Tacoma citizens. The [latex]60\\%[\/latex] value was based on the sample, so it is a statistic.[\/hidden-answer]<\/section>\r\n
[ohm2_question hide_question_numbers=1]6908[\/ohm2_question]<\/section>\r\n
[ohm2_question hide_question_numbers=1]6911[\/ohm2_question]<\/section>","rendered":"

Sample and Statistic<\/h2>\n

Since surveying an entire population is often impractical, we usually select a sample<\/strong> to study.<\/p>\n

\n
\n

sample<\/h3>\n

A sample<\/strong> is a smaller subset of the entire population, ideally one that is fairly representative of the whole population.<\/p>\n<\/div>\n<\/section>\n

We will discuss sampling methods in greater detail in a later section.\u00a0 For now, let us assume that samples are chosen in an appropriate manner.\u00a0 If we survey a sample, say [latex]100[\/latex] first-year students at your college, and find the average amount of money spent by these students on textbooks, the resulting number is called a statistic<\/strong>.<\/p>\n

\n
\n

statistic<\/h3>\n

A statistic<\/strong> is a value (average, percentage, etc.) calculated using the data from a sample.<\/p>\n<\/div>\n<\/section>\n

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Statistic vs Parameter<\/h3>\n