{"id":19874,"date":"2025-06-13T22:02:08","date_gmt":"2025-06-13T22:02:08","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=19874"},"modified":"2025-06-13T22:02:10","modified_gmt":"2025-06-13T22:02:10","slug":"the-manager-of-a-school-radio-station-is-conducting-a-survey","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-manager-of-a-school-radio-station-is-conducting-a-survey\/","title":{"rendered":"The manager of a school radio station is conducting a survey"},"content":{"rendered":"\n<p>The manager of a school radio station is conducting a survey. She wants to find out which type of music students prefer. How would the manager most likely get a random sample that represents the school population? a. Ask five students from each grade in the school. b. Ask each member of the school band and the chorus. c. Ask every fifth student who attends the school from the student list. d. Ask every fifth student who attended the last school concert.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is:<\/p>\n\n\n\n<p><strong>c. Ask every fifth student who attends the school from the student list.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>When conducting a survey to find out which type of music students prefer, the goal is to get a <strong>random sample<\/strong> that fairly represents the entire school population. A good random sample allows each student an equal chance of being selected, which helps avoid bias and makes the survey results more reliable and generalizable.<\/p>\n\n\n\n<p><strong>Why option (c) is best:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Systematic random sampling:<\/strong> Asking every fifth student from a complete list of all students is an example of systematic sampling, a type of probability sampling. The list includes all students enrolled, ensuring every student has an equal or known chance of selection.<\/li>\n\n\n\n<li>Since the sample is taken from the entire school population list, it is likely to reflect the diversity of preferences across grades, backgrounds, and interests.<\/li>\n\n\n\n<li>This method is simple to implement and tends to produce a representative sample if the list is not ordered in a way that biases the sample.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why the other options are less suitable:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>(a) Ask five students from each grade in the school:<\/strong><br>This sounds like stratified sampling, which can be good if done properly. But if the selection of the five students per grade is not random (e.g., volunteers or convenience), it may introduce bias. Also, the sample size from each grade is fixed and small, which may not be proportional to grade size.<\/li>\n\n\n\n<li><strong>(b) Ask each member of the school band and the chorus:<\/strong><br>This sample is <strong>biased<\/strong> because it only includes students with specific musical interests. It excludes the majority of students who are not in band or chorus, so it cannot represent the entire student population\u2019s music preferences.<\/li>\n\n\n\n<li><strong>(d) Ask every fifth student who attended the last school concert:<\/strong><br>This sample is biased toward students who attend concerts, who might already have a specific interest in music. It excludes students who did not attend, skewing the sample toward more musically active or interested students.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<p>For a survey aiming to represent the entire school population fairly, selecting every fifth student from the full student list (option <strong>c<\/strong>) is the most appropriate method. It provides a random, unbiased sample from the whole student body, which improves the accuracy and reliability of the survey results.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The manager of a school radio station is conducting a survey. She wants to find out which type of music students prefer. How would the manager most likely get a random sample that represents the school population? a. Ask five students from each grade in the school. b. Ask each member of the school band [&hellip;]<\/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-19874","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19874","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=19874"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19874\/revisions"}],"predecessor-version":[{"id":19875,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19874\/revisions\/19875"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=19874"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=19874"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=19874"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}