{"id":206885,"date":"2025-04-17T07:05:24","date_gmt":"2025-04-17T07:05:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=206885"},"modified":"2025-04-17T07:05:27","modified_gmt":"2025-04-17T07:05:27","slug":"classify-each-as-nominal-level-ordinal-level-interval-level-or-ratio-level-measurement","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/17\/classify-each-as-nominal-level-ordinal-level-interval-level-or-ratio-level-measurement\/","title":{"rendered":"Classify each as nominal-level, ordinal-level, interval-level, or ratio-level measurement"},"content":{"rendered":"\n

Classify each as nominal-level, ordinal-level, interval-level, or ratio-level measurement.<\/p>\n\n\n\n

a. Pages in the city of Cleveland telephone book.<\/p>\n\n\n\n

b. Rankings of tennis players.<\/p>\n\n\n\n

c. Weights of air conditioners.<\/p>\n\n\n\n

d. Temperatures inside 10 refrigerators.<\/p>\n\n\n\n

e. Salaries of the top five CEOs in the United States.<\/p>\n\n\n\n

f. Ratings of eight local plays (poor, fair, good, excellent).<\/p>\n\n\n\n

g. Times required for mechanics to do a tune-up.<\/p>\n\n\n\n

h. Ages of students in a classroom.<\/p>\n\n\n\n

i. Marital status of patients in a physician’s office.<\/p>\n\n\n\n

j. Horsepower of tractor engines.<\/p>\n\n\n\n

The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n

Sure! Here’s the classification along with a detailed explanation:<\/p>\n\n\n\n

\n\n\n\n

Measurement Level Classifications:<\/strong><\/h3>\n\n\n\n

a. Pages in the city of Cleveland telephone book<\/strong> \u2013 Ratio<\/strong>
b. Rankings of tennis players<\/strong> \u2013 Ordinal<\/strong>
c. Weights of air conditioners<\/strong> \u2013 Ratio<\/strong>
d. Temperatures inside 10 refrigerators<\/strong> \u2013 Interval<\/strong>
e. Salaries of the top five CEOs in the United States<\/strong> \u2013 Ratio<\/strong>
f. Ratings of eight local plays (poor, fair, good, excellent)<\/strong> \u2013 Ordinal<\/strong>
g. Times required for mechanics to do a tune-up<\/strong> \u2013 Ratio<\/strong>
h. Ages of students in a classroom<\/strong> \u2013 Ratio<\/strong>
i. Marital status of patients in a physician’s office<\/strong> \u2013 Nominal<\/strong>
j. Horsepower of tractor engines<\/strong> \u2013 Ratio<\/strong><\/p>\n\n\n\n

\n\n\n\n

Explanation (300 words):<\/strong><\/h3>\n\n\n\n

Understanding levels of measurement helps determine what kind of statistical analysis is appropriate. There are four main levels: nominal, ordinal, interval,<\/strong> and ratio<\/strong>.<\/p>\n\n\n\n

Nominal<\/strong> level is the lowest; it classifies data into distinct categories without any order. For example, marital status (i)<\/strong> only labels individuals (e.g., single, married) without implying any order.<\/p>\n\n\n\n

Ordinal<\/strong> level data involves order or ranking but does not measure the exact difference between ranks. Tennis player rankings (b)<\/strong> and ratings of plays (f)<\/strong> fall into this category. While we know the order (e.g., excellent > good), we don\u2019t know the precise difference between them.<\/p>\n\n\n\n

Interval<\/strong> level has ordered categories with known, equal intervals between values, but no true zero point. Temperatures in refrigerators (d)<\/strong> are interval because 0\u00b0F does not mean “no temperature.” You can measure differences but not ratios.<\/p>\n\n\n\n

Ratio<\/strong> level includes all properties of interval data, plus a meaningful zero point, which allows for comparison using multiplication or division. Weights (c), ages (h), times (g), horsepower (j), salaries (e),<\/strong> and number of pages (a)<\/strong> are all ratio data. A weight of 0 means no weight, and 20 lbs is twice as heavy as 10 lbs.<\/p>\n\n\n\n

In summary, nominal<\/strong> is categorical with no order, ordinal<\/strong> is ordered without meaningful intervals, interval<\/strong> has ordered and evenly spaced values but no true zero, and ratio<\/strong> has all of those properties including a true zero, enabling the most comprehensive statistical analysis.<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

Classify each as nominal-level, ordinal-level, interval-level, or ratio-level measurement. a. Pages in the city of Cleveland telephone book. b. Rankings of tennis players. c. Weights of air conditioners. d. Temperatures inside 10 refrigerators. e. Salaries of the top five CEOs in the United States. f. Ratings of eight local plays (poor, fair, good, excellent). g. […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-206885","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/206885","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=206885"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/206885\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=206885"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=206885"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=206885"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}