Using the Empirical Rule, between what two values will approximately 95% of the population be? The Empirical Rule states that approximately 95% of the data will be between<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n Correct Answer:<\/strong> Mean – 2(Standard Deviation)<\/strong> and Mean + 2(Standard Deviation)<\/strong><\/p>\n\n\n\n Explanation:<\/strong> According to the Empirical Rule:<\/p>\n\n\n\n Focusing on the 95% part, this rule tells us that nearly all values in a normally distributed population will be found within the interval defined by subtracting and adding two standard deviations from the mean. For example, if the mean test score in a class is 80 and the standard deviation is 5, then about 95% of students scored between:<\/p>\n\n\n\n 80 \u2212 2(5) = 70 and So, approximately 95% of the scores lie between 70 and 90.<\/p>\n\n\n\n This rule is helpful in many real-life applications, such as quality control, grading exams, predicting outcomes, and analyzing patterns. It allows statisticians and analysts to quickly assess the spread and concentration of values within a dataset. However, the Empirical Rule assumes the data is symmetrically distributed and shaped like a bell curve. If the data is skewed or not normally distributed, this rule may not give accurate results.<\/p>\n\n\n\n In summary, when a dataset is normally distributed, around 95% of the population values lie between mean minus 2 standard deviations<\/strong> and mean plus 2 standard deviations<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":" Using the Empirical Rule, between what two values will approximately 95% of the population be? The Empirical Rule states that approximately 95% of the data will be between The correct answer and explanation is: Correct Answer:Approximately 95% of the data will be between two standard deviations below the mean and two standard deviations above the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-29568","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29568","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=29568"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29568\/revisions"}],"predecessor-version":[{"id":29570,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29568\/revisions\/29570"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=29568"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=29568"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=29568"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Approximately 95% of the data will be between two standard deviations below the mean and two standard deviations above the mean<\/strong>. This means:<\/p>\n\n\n\n
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The Empirical Rule is a statistical guideline that applies to data sets with a normal (bell-shaped) distribution. It provides an easy way to understand how data values are spread in relation to the mean (average).<\/p>\n\n\n\n\n
80 + 2(5) = 90<\/p>\n\n\n\n