For a normal distribution, a negative value of z indicates that

Expert Answer

Last update :

For A Normal Distribution, A Negative Value Of Z Indicates:

A. The z is to the right of the mean.

B. A mistake has been made in computations, because z is always positive.

C. the area corresponding to the z is negative.

D. the z is to the left of the mean.

The correct answer is D

A Negative Value Of Z Indicates the z is to the left of the mean.

Explanation:
Z is the number of standard deviations from the mean given by the formula:
z = ( X - μ ) ÷ ( σ ). a negative value means that the number of standard deviations of an observation is to the left of the mean.

Edit This Article

Tags Mathematics

You may like these posts

Comments

window['__wavt'] = 'AOuZoY5kgdDKEmNzljGuAUxpLF0Q-e8qTQ:1734952091068';_WidgetManager._Init('//www.blogger.com/rearrange?blogID\x3d8845640085672194599','//www.solved4free.com/2024/04/for-normal-distribution-negative-value.html','8845640085672194599'); _WidgetManager._SetDataContext([{'name': 'blog', 'data': {'blogId': '8845640085672194599', 'title': 'Solved4Free', 'url': 'https://www.solved4free.com/2024/04/for-normal-distribution-negative-value.html', 'canonicalUrl': 'https://www.solved4free.com/2024/04/for-normal-distribution-negative-value.html', 'homepageUrl': 'https://www.solved4free.com/', 'searchUrl': 'https://www.solved4free.com/search', 'canonicalHomepageUrl': 'https://www.solved4free.com/', 'blogspotFaviconUrl': 'https://www.solved4free.com/favicon.ico', 'bloggerUrl': 'https://www.blogger.com', 'hasCustomDomain': true, 'httpsEnabled': true, 'enabledCommentProfileImages': true, 'gPlusViewType': 'FILTERED_POSTMOD', 'adultContent': false, 'analyticsAccountNumber': 'G-4LY0M1V77Q', 'analytics4': true, 'encoding': 'UTF-8', 'locale': 'en', 'localeUnderscoreDelimited': 'en', 'languageDirection': 'ltr', 'isPrivate': false, 'isMobile': false, 'isMobileRequest': false, 'mobileClass': '', 'isPrivateBlog': false, 'isDynamicViewsAvailable': true, 'feedLinks': '\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22Solved4Free - Atom\x22 href\x3d\x22https://www.solved4free.com/feeds/posts/default\x22 /\x3e\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/rss+xml\x22 title\x3d\x22Solved4Free - RSS\x22 href\x3d\x22https://www.solved4free.com/feeds/posts/default?alt\x3drss\x22 /\x3e\n\x3clink rel\x3d\x22service.post\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22Solved4Free - Atom\x22 href\x3d\x22https://www.blogger.com/feeds/8845640085672194599/posts/default\x22 /\x3e\n\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22Solved4Free - Atom\x22 href\x3d\x22https://www.solved4free.com/feeds/5778343884216189630/comments/default\x22 /\x3e\n', 'meTag': '', 'adsenseHostId': 'ca-host-pub-1556223355139109', 'adsenseHasAds': false, 'adsenseAutoAds': false, 'boqCommentIframeForm': true, 'loginRedirectParam': '', 'view': '', 'dynamicViewsCommentsSrc': '//www.blogblog.com/dynamicviews/4224c15c4e7c9321/js/comments.js', 'dynamicViewsScriptSrc': '//www.blogblog.com/dynamicviews/361ce9cf7a112c52', 'plusOneApiSrc': 'https://apis.google.com/js/platform.js', 'disableGComments': true, 'interstitialAccepted': false, 'sharing': {'platforms': [{'name': 'Get link', 'key': 'link', 'shareMessage': 'Get link', 'target': ''}, {'name': 'Facebook', 'key': 'facebook', 'shareMessage': 'Share to Facebook', 'target': 'facebook'}, {'name': 'BlogThis!', 'key': 'blogThis', 'shareMessage': 'BlogThis!', 'target': 'blog'}, {'name': 'X', 'key': 'twitter', 'shareMessage': 'Share to X', 'target': 'twitter'}, {'name': 'Pinterest', 'key': 'pinterest', 'shareMessage': 'Share to Pinterest', 'target': 'pinterest'}, {'name': 'Email', 'key': 'email', 'shareMessage': 'Email', 'target': 'email'}], 'disableGooglePlus': true, 'googlePlusShareButtonWidth': 0, 'googlePlusBootstrap': '\x3cscript type\x3d\x22text/javascript\x22\x3ewindow.___gcfg \x3d {\x27lang\x27: \x27en\x27};\x3c/script\x3e'}, 'hasCustomJumpLinkMessage': false, 'jumpLinkMessage': 'Read more', 'pageType': 'item', 'postId': '5778343884216189630', 'postImageThumbnailUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEq4l4ppaIRZ1EbpXfHNsRH5nMw4P4Aer-YRCJ3f5etdmcT54R_h4dWBuTUlIvH5JKTDgyDWAngziUc9HG9gkzS6nt7KQvtCToy_uTczLYkm5UXDmNewOfoVr5Zj6op-RWiLgNKiRV621sw4vyBb8vgFfHWrFGWRq4k_cs-sgs0ByTzEYCZdDiAyCVWQ/s72-w400-c-h163/A%20Negative%20Value%20Of%20Z%20Indicates%C2%A0.webp', 'postImageUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEq4l4ppaIRZ1EbpXfHNsRH5nMw4P4Aer-YRCJ3f5etdmcT54R_h4dWBuTUlIvH5JKTDgyDWAngziUc9HG9gkzS6nt7KQvtCToy_uTczLYkm5UXDmNewOfoVr5Zj6op-RWiLgNKiRV621sw4vyBb8vgFfHWrFGWRq4k_cs-sgs0ByTzEYCZdDiAyCVWQ/w400-h163/A%20Negative%20Value%20Of%20Z%20Indicates%C2%A0.webp', 'pageName': 'For a normal distribution, a negative value of z indicates that', 'pageTitle': 'Solved4Free: For a normal distribution, a negative value of z indicates that'}}, {'name': 'features', 'data': {}}, {'name': 'messages', 'data': {'edit': 'Edit', 'linkCopiedToClipboard': 'Link copied to clipboard!', 'ok': 'Ok', 'postLink': 'Post Link'}}, {'name': 'template', 'data': {'name': 'custom', 'localizedName': 'Custom', 'isResponsive': true, 'isAlternateRendering': false, 'isCustom': true}}, {'name': 'view', 'data': {'classic': {'name': 'classic', 'url': '?view\x3dclassic'}, 'flipcard': {'name': 'flipcard', 'url': '?view\x3dflipcard'}, 'magazine': {'name': 'magazine', 'url': '?view\x3dmagazine'}, 'mosaic': {'name': 'mosaic', 'url': '?view\x3dmosaic'}, 'sidebar': {'name': 'sidebar', 'url': '?view\x3dsidebar'}, 'snapshot': {'name': 'snapshot', 'url': '?view\x3dsnapshot'}, 'timeslide': {'name': 'timeslide', 'url': '?view\x3dtimeslide'}, 'isMobile': false, 'title': 'For a normal distribution, a negative value of z indicates that', 'description': 'For A Normal Distribution, A Negative Value Of Z Indicates: A . The z is to the right of the mean. B . A mistake has been made in computati...', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEq4l4ppaIRZ1EbpXfHNsRH5nMw4P4Aer-YRCJ3f5etdmcT54R_h4dWBuTUlIvH5JKTDgyDWAngziUc9HG9gkzS6nt7KQvtCToy_uTczLYkm5UXDmNewOfoVr5Zj6op-RWiLgNKiRV621sw4vyBb8vgFfHWrFGWRq4k_cs-sgs0ByTzEYCZdDiAyCVWQ/w400-h163/A%20Negative%20Value%20Of%20Z%20Indicates%C2%A0.webp', 'url': 'https://www.solved4free.com/2024/04/for-normal-distribution-negative-value.html', 'type': 'item', 'isSingleItem': true, 'isMultipleItems': false, 'isError': false, 'isPage': false, 'isPost': true, 'isHomepage': false, 'isArchive': false, 'isLabelSearch': false, 'postId': 5778343884216189630}}, {'name': 'widgets', 'data': [{'title': 'Solved4Free (Header)', 'type': 'Header', 'sectionId': 'logo', 'id': 'Header1'}, {'title': 'Pages', 'type': 'PageList', 'sectionId': 'pages', 'id': 'PageList1'}, {'title': 'Main Menu', 'type': 'LinkList', 'sectionId': 'menu', 'id': 'LinkList001'}, {'title': 'search ...', 'type': 'BlogSearch', 'sectionId': 'searchform', 'id': 'BlogSearch2'}, {'title': 'table of contents feature', 'type': 'HTML', 'sectionId': 'AddOns', 'id': 'HTML1'}, {'title': 'contact form', 'type': 'ContactForm', 'sectionId': 'AddOns', 'id': 'ContactForm200'}, {'title': 'Blog Posts', 'type': 'Blog', 'sectionId': 'Tempnec', 'id': 'Blog1', 'posts': [{'id': '5778343884216189630', 'title': 'For a normal distribution, a negative value of z indicates that', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEq4l4ppaIRZ1EbpXfHNsRH5nMw4P4Aer-YRCJ3f5etdmcT54R_h4dWBuTUlIvH5JKTDgyDWAngziUc9HG9gkzS6nt7KQvtCToy_uTczLYkm5UXDmNewOfoVr5Zj6op-RWiLgNKiRV621sw4vyBb8vgFfHWrFGWRq4k_cs-sgs0ByTzEYCZdDiAyCVWQ/w400-h163/A%20Negative%20Value%20Of%20Z%20Indicates%C2%A0.webp', 'showInlineAds': false}], 'headerByline': {'regionName': 'header1', 'items': [{'name': 'share', 'label': ''}, {'name': 'author', 'label': 'Written by:'}, {'name': 'timestamp', 'label': '-'}]}, 'footerBylines': [{'regionName': 'footer1', 'items': [{'name': 'comments', 'label': 'comments'}, {'name': 'icons', 'label': ''}]}, {'regionName': 'footer2', 'items': [{'name': 'labels', 'label': ''}]}], 'allBylineItems': [{'name': 'share', 'label': ''}, {'name': 'author', 'label': 'Written by:'}, {'name': 'timestamp', 'label': '-'}, {'name': 'comments', 'label': 'comments'}, {'name': 'icons', 'label': ''}, {'name': 'labels', 'label': ''}]}]}]); _WidgetManager._RegisterWidget('_HeaderView', new _WidgetInfo('Header1', 'logo', document.getElementById('Header1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_PageListView', new _WidgetInfo('PageList1', 'pages', document.getElementById('PageList1'), {'title': 'Pages', 'links': [{'isCurrentPage': false, 'href': 'https://www.solved4free.com/p/privacy-policy.html', 'id': '6713293756623779296', 'title': 'Privacy Policy'}, {'isCurrentPage': false, 'href': 'https://www.solved4free.com/p/about-us.html', 'id': '6373564981372671233', 'title': 'About Us'}, {'isCurrentPage': false, 'href': 'https://www.solved4free.com/p/author.html', 'id': '2948880740804769848', 'title': 'Author'}, {'isCurrentPage': false, 'href': 'https://www.solved4free.com/p/contact-us.html', 'id': '4114150926351339495', 'title': 'Contact Us'}], 'mobile': false, 'showPlaceholder': true, 'hasCurrentPage': false}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList001', 'menu', document.getElementById('LinkList001'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogSearchView', new _WidgetInfo('BlogSearch2', 'searchform', document.getElementById('BlogSearch2'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML1', 'AddOns', document.getElementById('HTML1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_ContactFormView', new _WidgetInfo('ContactForm200', 'AddOns', document.getElementById('ContactForm200'), {'contactFormMessageSendingMsg': 'Sending...', 'contactFormMessageSentMsg': 'Your message has been sent.', 'contactFormMessageNotSentMsg': 'Message could not be sent. Please try again later.', 'contactFormInvalidEmailMsg': 'A valid email address is required.', 'contactFormEmptyMessageMsg': 'Message field cannot be empty.', 'title': 'contact form', 'blogId': '8845640085672194599', 'contactFormNameMsg': 'Name', 'contactFormEmailMsg': 'Email', 'contactFormMessageMsg': 'Message', 'contactFormSendMsg': 'Send', 'contactFormToken': 'AOuZoY5_jxAsn2HhYG6ZtNjulZRY_aMb0w:1734952091068', 'submitUrl': 'https://www.blogger.com/contact-form.do'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogView', new _WidgetInfo('Blog1', 'Tempnec', document.getElementById('Blog1'), {'cmtInteractionsEnabled': false, 'lightboxEnabled': true, 'lightboxModuleUrl': 'https://www.blogger.com/static/v1/jsbin/3846405171-lbx.js', 'lightboxCssUrl': 'https://www.blogger.com/static/v1/v-css/1964470060-lightbox_bundle.css'}, 'displayModeFull'));