{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-01-28T02:40:08+00:00","modifiedTime":"2017-01-28T02:40:08+00:00","timestamp":"2022-09-14T18:17:09+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"SAT","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33794"},"slug":"sat","categoryId":33794}],"title":"SAT Practice Questions: Mean versus Median","strippedTitle":"sat practice questions: mean versus median","slug":"sat-practice-questions-mean-versus-median","canonicalUrl":"","seo":{"metaDescription":"The SAT Math exam will probably contain questions about mean and median, but you may not always have to make calculations. Instead, you may be asked to explain ","noIndex":0,"noFollow":0},"content":"The SAT Math exam will probably contain questions about mean and median, but you may not always have to make calculations. Instead, you may be asked to explain the relationship between the mean and median for a set of numbers.\r\n\r\nThe following practice questions ask you to explain why the mean and median are similar and different in two separate cases.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li><strong>An auto dealer's cars have a mean value of $22,000 and a median value of $25,000. Which of the following situations could explain the difference between the mean and the median?</strong>\r\n<strong>A.</strong> A few cars are valued much less than the rest.\r\n<strong>B.</strong> Many of the cars have values between $22,000 and $25,000.\r\n<strong>C.</strong> The cars have values that are close to each other.\r\n<strong>D.</strong> A few cars are valued much more than the rest.</li>\r\n\t<li><strong>The exam scores in a German class have a mean value of 92 and a median value of 92. Which of the following situations could explain the similarity between the mean and the median?</strong>\r\n<strong>A.</strong> Most students scored below 92.\r\n<strong>B.</strong> Most students scored above 92.\r\n<strong>C.</strong> The students received extra credit.\r\n<strong>D.</strong> The exam scores are evenly spaced out.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li><strong>The correct answer is Choice (A).</strong>\r\nIf the car values were evenly spaced apart, the mean and median would be the same. However, if a few cars were valued much lower than the others, these few cars would bring the mean down to a value less than the median.</li>\r\n\t<li><strong>The correct answer is Choice (D).</strong>\r\nEvenly spaced scores would explain why the mean and the median are the same. If most students scored below 92, that would bring both the mean and the median below 92. If most scored above 92, that would bring them above 92. And if the scores were randomly spread out, the mean and median would be different. Extra credit has no bearing on the similarity between the mean and the median.</li>\r\n</ol>","description":"The SAT Math exam will probably contain questions about mean and median, but you may not always have to make calculations. Instead, you may be asked to explain the relationship between the mean and median for a set of numbers.\r\n\r\nThe following practice questions ask you to explain why the mean and median are similar and different in two separate cases.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li><strong>An auto dealer's cars have a mean value of $22,000 and a median value of $25,000. Which of the following situations could explain the difference between the mean and the median?</strong>\r\n<strong>A.</strong> A few cars are valued much less than the rest.\r\n<strong>B.</strong> Many of the cars have values between $22,000 and $25,000.\r\n<strong>C.</strong> The cars have values that are close to each other.\r\n<strong>D.</strong> A few cars are valued much more than the rest.</li>\r\n\t<li><strong>The exam scores in a German class have a mean value of 92 and a median value of 92. Which of the following situations could explain the similarity between the mean and the median?</strong>\r\n<strong>A.</strong> Most students scored below 92.\r\n<strong>B.</strong> Most students scored above 92.\r\n<strong>C.</strong> The students received extra credit.\r\n<strong>D.</strong> The exam scores are evenly spaced out.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li><strong>The correct answer is Choice (A).</strong>\r\nIf the car values were evenly spaced apart, the mean and median would be the same. However, if a few cars were valued much lower than the others, these few cars would bring the mean down to a value less than the median.</li>\r\n\t<li><strong>The correct answer is Choice (D).</strong>\r\nEvenly spaced scores would explain why the mean and the median are the same. If most students scored below 92, that would bring both the mean and the median below 92. If most scored above 92, that would bring them above 92. And if the scores were randomly spread out, the mean and median would be different. Extra credit has no bearing on the similarity between the mean and the median.</li>\r\n</ol>","blurb":"","authors":[{"authorId":8978,"name":"Ron Woldoff","slug":"ron-woldoff","description":" <p><b>Ron Woldoff is founder of National Test Prep, where he helps students succeed on the GMAT, GRE, SAT, ACT, and PSAT. 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SAT Practice Questions: Mean versus Median

By: Ron Woldoff and

Updated: 01-28-2017

From The Book: SAT

SAT

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The SAT Math exam will probably contain questions about mean and median, but you may not always have to make calculations. Instead, you may be asked to explain the relationship between the mean and median for a set of numbers.

The following practice questions ask you to explain why the mean and median are similar and different in two separate cases.

Practice questions

An auto dealer's cars have a mean value of $22,000 and a median value of $25,000. Which of the following situations could explain the difference between the mean and the median? A. A few cars are valued much less than the rest. B. Many of the cars have values between $22,000 and $25,000. C. The cars have values that are close to each other. D. A few cars are valued much more than the rest.
The exam scores in a German class have a mean value of 92 and a median value of 92. Which of the following situations could explain the similarity between the mean and the median? A. Most students scored below 92. B. Most students scored above 92. C. The students received extra credit. D. The exam scores are evenly spaced out.

Answers and explanations

The correct answer is Choice (A). If the car values were evenly spaced apart, the mean and median would be the same. However, if a few cars were valued much lower than the others, these few cars would bring the mean down to a value less than the median.
The correct answer is Choice (D). Evenly spaced scores would explain why the mean and the median are the same. If most students scored below 92, that would bring both the mean and the median below 92. If most scored above 92, that would bring them above 92. And if the scores were randomly spread out, the mean and median would be different. Extra credit has no bearing on the similarity between the mean and the median.

About This Article

This article is from the book:

SAT ,

About the book author:

Ron Woldoff is the founder of National Test Prep, where he helps students prepare for the SAT, GMAT, and GRE. He is the author of several books, including GRE For Dummies and 1,001 GRE Practice Questions For Dummies.

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