


{"id":1162,"date":"2021-03-27T01:19:40","date_gmt":"2021-03-27T01:19:40","guid":{"rendered":"https:\/\/alminawi.com\/?p=519"},"modified":"2025-09-27T13:00:41","modified_gmt":"2025-09-27T13:00:41","slug":"audit-sampling-episode-13-mean-per-unit-estimation-for-classical-variable-sampling","status":"publish","type":"post","link":"https:\/\/e.americanpro.org\/?p=1162","title":{"rendered":"Audit Sampling: Episode 13, Mean-Per-Unit Estimation for Classical Variable Sampling"},"content":{"rendered":"<p data-start=\"90\" data-end=\"496\">Mean-per-unit (MPU) estimation is a classical variable sampling technique used to estimate the total audited value of a population by applying the average audited value per unit from the sample to the total number of units in the population. Unlike ratio or difference estimation, MPU does not consider book values in projection, making it especially useful when book values are unreliable or inconsistent.<\/p>\n<p data-start=\"498\" data-end=\"814\">To use this method, the auditor calculates the average audited value per account in the sample and multiplies it by the total number of accounts in the population. The result provides an estimate of the population\u2019s total audited value, which can then be compared to the book value to assess potential misstatements.<\/p>\n<p data-start=\"816\" data-end=\"972\"><strong data-start=\"816\" data-end=\"838\">Practical Example:<\/strong><br data-start=\"838\" data-end=\"841\" \/>An auditor reviews <strong data-start=\"860\" data-end=\"876\">500 accounts<\/strong> with a <strong data-start=\"884\" data-end=\"919\">total audited value of $600,000<\/strong>. This gives an average audited value per account of:<\/p>\n<p><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">600,000\/ 500=1,200<\/span><\/span><\/span><\/p>\n<p data-start=\"1009\" data-end=\"1087\">The <strong data-start=\"1013\" data-end=\"1051\">population contains 6,200 accounts<\/strong>, so the projected audited value is:<\/p>\n<p><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">6,200\u00d71,200=7,440,0006,200\u00a0<\/span><\/span><\/span><\/p>\n<p data-start=\"1136\" data-end=\"1244\">The <strong data-start=\"1140\" data-end=\"1186\">book value of the population is $7,120,000<\/strong>, resulting in a <strong data-start=\"1203\" data-end=\"1243\">projected understatement of $320,000<\/strong>.<\/p>\n<p data-start=\"1246\" data-end=\"1429\" data-is-last-node=\"\" data-is-only-node=\"\">This method suggests the population may be materially understated, prompting further investigation. MPU is most appropriate when every sampling unit is of similar size and importance.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mean-per-unit (MPU) estimation is a classical variable sampling technique used to estimate the total audited value of a population by applying the average audited value per unit from the sample to the total number of units in the population. Unlike ratio or difference estimation, MPU does not consider book values in projection, making it especially [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":1015,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[17],"tags":[],"class_list":["post-1162","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-internal-audit"],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/e.americanpro.org\/wp-content\/uploads\/2021\/03\/7-e1750016016710.webp","_links":{"self":[{"href":"https:\/\/e.americanpro.org\/index.php?rest_route=\/wp\/v2\/posts\/1162","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/e.americanpro.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/e.americanpro.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/e.americanpro.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/e.americanpro.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1162"}],"version-history":[{"count":1,"href":"https:\/\/e.americanpro.org\/index.php?rest_route=\/wp\/v2\/posts\/1162\/revisions"}],"predecessor-version":[{"id":2140,"href":"https:\/\/e.americanpro.org\/index.php?rest_route=\/wp\/v2\/posts\/1162\/revisions\/2140"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/e.americanpro.org\/index.php?rest_route=\/wp\/v2\/media\/1015"}],"wp:attachment":[{"href":"https:\/\/e.americanpro.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1162"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/e.americanpro.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1162"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/e.americanpro.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1162"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}