Problem 45779. Variance computation (★★★)

Created by Anirban Pal

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Given a vector x with several values, compute the variance, whose formula is given by:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"center\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>where x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For example, if</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[x = [-1, 3, 5, -4, 10, 12]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Then μ=4.16667 the variance is 38.16667. The following commands are forbidden:</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>std, var, mean, for, while</w:t></w:r><w:r><w:t>.</w:t></w:r></w:p></w:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.gif","relationshipId":"rId1"}]},{"partUri":"/media/image1.gif","contentType":"image/gif","content":"data:image/gif;base64,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","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 198.433px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 99.2167px; transform-origin: 407px 99.2167px; vertical-align: baseline; "><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 267.3px 10.5px; transform-origin: 267.3px 10.5px; unicode-bidi: normal; "><span style="">Given a vector x with several values, compute the variance, whose formula is given by:</span></span></div><div style="block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 23px; text-align: center; transform-origin: 384px 23px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline" src="data:image/gif;base64,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" data-image-state="image-loaded"></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 283.683px 10.5px; transform-origin: 283.683px 10.5px; unicode-bidi: normal; "><span style="">where x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 45.9083px 10.5px; transform-origin: 45.9083px 10.5px; unicode-bidi: normal; "><span style="">For example, if</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 109.633px 8.5px; transform-origin: 109.633px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">x = [-1, 3, 5, -4, 10, 12]</span></span></div></div><div style="block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.342px 10.5px; transform-origin: 256.342px 10.5px; unicode-bidi: normal; "><span style="">Then μ=4.16667 the variance is 38.16667. The following commands are forbidden:</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 10.5px; transform-origin: 1.95px 10.5px; unicode-bidi: normal; "><span style=""> </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.7917px 10.5px; transform-origin: 80.7917px 10.5px; unicode-bidi: normal; "><span style="font-weight: 700; ">std, var, mean, for, while</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 10.5px; transform-origin: 1.95px 10.5px; unicode-bidi: normal; "><span style="">.</span></span></div></div></div>

Solve

Solution Stats

62 Solutions
25 Solvers

Last Solution submitted on Jul 14, 2021

Last 200 Solutions

Problem Comments

Problem Recent Solvers25

Problem Tags

data analysis variance

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 45779. Variance computation (★★★)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers25

Suggested Problems

More from this Author53

Problem Tags

Community Treasure Hunt

Problem 45779. Variance computation (★★★)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers25

Suggested Problems

More from this Author53

Problem Tags

Community Treasure Hunt

Players