{"id":998,"date":"2022-01-11T19:43:32","date_gmt":"2022-01-11T19:43:32","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=998"},"modified":"2022-02-04T20:25:27","modified_gmt":"2022-02-04T20:25:27","slug":"4b","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/4b\/","title":{"raw":"4B","rendered":"4B"},"content":{"raw":"\"Two\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Hurricane Damage (in millions of dollars)<\/strong>\r\n\r\n\u00a0<\/strong>()<\/td>\r\nDeviation from the Mean (in millions of dollars)<\/strong><\/td>\r\n<\/tr>\r\n
105,840<\/td>\r\n<\/td>\r\n<\/tr>\r\n
45,561<\/td>\r\n<\/td>\r\n<\/tr>\r\n
27,790<\/td>\r\n<\/td>\r\n<\/tr>\r\n
20,587<\/td>\r\n<\/td>\r\n<\/tr>\r\n
19,832<\/td>\r\n<\/td>\r\n<\/tr>\r\n
15,820<\/td>\r\n<\/td>\r\n<\/tr>\r\n
12,775<\/td>\r\n<\/td>\r\n<\/tr>\r\n
11,797<\/td>\r\n<\/td>\r\n<\/tr>\r\n
11,760<\/td>\r\n<\/td>\r\n<\/tr>\r\n
11,227<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\"A\r\n
\r\n\r\n\r\n\r\n\r\n\r\n
Rating<\/td>\r\nMean<\/td>\r\nMedian<\/td>\r\nStandard Deviation<\/td>\r\nVariance<\/td>\r\n<\/tr>\r\n
G<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
R<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\"A\r\n
\r\n\r\n\r\n\r\n\r\n\r\n
Rating<\/td>\r\nMean<\/td>\r\nMedian<\/td>\r\nStandard Deviation<\/td>\r\nVariance<\/td>\r\n<\/tr>\r\n
G rating with the outlier<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
G rating without the outlier<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n\"Three \"Four\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Region<\/td>\r\nMean<\/td>\r\nMedian<\/td>\r\nStandard Deviation<\/td>\r\nVariance<\/td>\r\n<\/tr>\r\n
West<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Midwest<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
South<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Northeast<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n \r\n\r\n\"Four\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Skill or Concept: I can . . .<\/td>\r\nQuestions to check your understanding<\/td>\r\nRating\r\nfrom 1 to 5<\/td>\r\n<\/tr>\r\n
Visually assess the differences in variability, given comparative histograms or dotplots.<\/td>\r\n1, 2<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Understand the summary statistics feature of the Describing and Exploring Quantitative Variables<\/em> tool.<\/td>\r\n3, 4<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Use technology to calculate measures of variability: standard deviation, variance, and range.<\/td>\r\n5\u20137<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nGlossary\r\n
\r\n \t
deviation from the mean<\/dt>\r\n \t
the distance between an observation (x<\/span><\/span><\/span><\/span><\/span><\/span>x<\/mi><\/mrow><\/math><\/span><\/span>) in a dataset and the mean\u00a0(<\/span><\/span>\u00af<\/span><\/span><\/span>x<\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>(<\/mo>x<\/mi>\u00af<\/mo><\/mover><\/mrow>)<\/mo><\/mrow><\/math><\/span><\/span>\u00a0of the dataset.<\/dd>\r\n<\/dl>\r\n
\r\n \t
variability<\/dt>\r\n \t
a measure of how dispersed (spread out) the data are. It is often referred to as the spread, or dispersion, of a dataset.<\/dd>\r\n<\/dl>\r\n
\r\n \t
standard deviation<\/dt>\r\n \t
a measure of how spread out observations are from the mean.<\/dd>\r\n<\/dl>\r\n
\r\n \t
\u03c3<\/span><\/span><\/span><\/span>\u03c3<\/mi><\/math><\/span><\/span><\/strong><\/dt>\r\n \t
the standard deviation of a population of observations.<\/dd>\r\n<\/dl>\r\n
\r\n \t
s<\/span><\/span><\/span><\/span>s<\/mi><\/math><\/span><\/span><\/strong><\/dt>\r\n \t
the standard deviation of a sample of observations.<\/dd>\r\n<\/dl>\r\n
\r\n \t
variance<\/dt>\r\n \t
the standard deviation squared.<\/dd>\r\n<\/dl>\r\n
\r\n \t
\u03c3<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c3<\/mi>2<\/mn><\/mrow><\/msup><\/math><\/span><\/span><\/strong><\/dt>\r\n \t
the variance of a population of observations.<\/dd>\r\n<\/dl>\r\n
\r\n \t
s<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>s<\/mi>2<\/mn><\/mrow><\/msup><\/math><\/span><\/span><\/strong><\/dt>\r\n \t
the variation of a sample of observations.<\/dd>\r\n<\/dl>\r\n
\r\n \t
range<\/dt>\r\n \t
the maximum (or largest) value\u00a0\u2013 the minimum (or smallest) value.<\/dd>\r\n<\/dl>\r\n<\/div>\r\n<\/div>","rendered":"

\"Two<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Hurricane Damage (in millions of dollars)<\/strong><\/p>\n

\u00a0<\/strong>()<\/td>\n

Deviation from the Mean (in millions of dollars)<\/strong><\/td>\n<\/tr>\n
105,840<\/td>\n<\/td>\n<\/tr>\n
45,561<\/td>\n<\/td>\n<\/tr>\n
27,790<\/td>\n<\/td>\n<\/tr>\n
20,587<\/td>\n<\/td>\n<\/tr>\n
19,832<\/td>\n<\/td>\n<\/tr>\n
15,820<\/td>\n<\/td>\n<\/tr>\n
12,775<\/td>\n<\/td>\n<\/tr>\n
11,797<\/td>\n<\/td>\n<\/tr>\n
11,760<\/td>\n<\/td>\n<\/tr>\n
11,227<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\"A<\/p>\n

\n\n\n\n\n\n
Rating<\/td>\nMean<\/td>\nMedian<\/td>\nStandard Deviation<\/td>\nVariance<\/td>\n<\/tr>\n
G<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
R<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\"A<\/p>\n

\n\n\n\n\n\n
Rating<\/td>\nMean<\/td>\nMedian<\/td>\nStandard Deviation<\/td>\nVariance<\/td>\n<\/tr>\n
G rating with the outlier<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
G rating without the outlier<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

\"Three \"Four<\/p>\n\n\n\n\n\n\n\n
Region<\/td>\nMean<\/td>\nMedian<\/td>\nStandard Deviation<\/td>\nVariance<\/td>\n<\/tr>\n
West<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
Midwest<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
South<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
Northeast<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

\"Four<\/p>\n

\n\n\n\n\n\n\n
Skill or Concept: I can . . .<\/td>\nQuestions to check your understanding<\/td>\nRating
\nfrom 1 to 5<\/td>\n<\/tr>\n
Visually assess the differences in variability, given comparative histograms or dotplots.<\/td>\n1, 2<\/td>\n<\/td>\n<\/tr>\n
Understand the summary statistics feature of the Describing and Exploring Quantitative Variables<\/em> tool.<\/td>\n3, 4<\/td>\n<\/td>\n<\/tr>\n
Use technology to calculate measures of variability: standard deviation, variance, and range.<\/td>\n5\u20137<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Glossary<\/p>\n

\n
deviation from the mean<\/dt>\n
the distance between an observation (x<\/span><\/span><\/span><\/span><\/span><\/span>x<\/mi><\/mrow><\/math><\/span><\/span>) in a dataset and the mean\u00a0(<\/span><\/span>\u00af<\/span><\/span><\/span>x<\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>(<\/mo>x<\/mi>\u00af<\/mo><\/mover><\/mrow>)<\/mo><\/mrow><\/math><\/span><\/span>\u00a0of the dataset.<\/dd>\n<\/dl>\n
\n
variability<\/dt>\n
a measure of how dispersed (spread out) the data are. It is often referred to as the spread, or dispersion, of a dataset.<\/dd>\n<\/dl>\n
\n
standard deviation<\/dt>\n
a measure of how spread out observations are from the mean.<\/dd>\n<\/dl>\n
\n
\u03c3<\/span><\/span><\/span><\/span>\u03c3<\/mi><\/math><\/span><\/span><\/strong><\/dt>\n
the standard deviation of a population of observations.<\/dd>\n<\/dl>\n
\n
s<\/span><\/span><\/span><\/span>s<\/mi><\/math><\/span><\/span><\/strong><\/dt>\n
the standard deviation of a sample of observations.<\/dd>\n<\/dl>\n
\n
variance<\/dt>\n
the standard deviation squared.<\/dd>\n<\/dl>\n
\n
\u03c3<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c3<\/mi>2<\/mn><\/mrow><\/msup><\/math><\/span><\/span><\/strong><\/dt>\n
the variance of a population of observations.<\/dd>\n<\/dl>\n
\n
s<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>s<\/mi>2<\/mn><\/mrow><\/msup><\/math><\/span><\/span><\/strong><\/dt>\n
the variation of a sample of observations.<\/dd>\n<\/dl>\n
\n
range<\/dt>\n
the maximum (or largest) value\u00a0\u2013 the minimum (or smallest) value.<\/dd>\n<\/dl>\n<\/div>\n<\/div>\n","protected":false},"author":23592,"menu_order":7,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-998","chapter","type-chapter","status-publish","hentry"],"part":704,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/998","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/23592"}],"version-history":[{"count":4,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/998\/revisions"}],"predecessor-version":[{"id":2807,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/998\/revisions\/2807"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/704"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/998\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=998"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=998"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=998"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=998"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}